Solve for m/a renter answer in the box round to your final answer to the nearest degree.

If each of A, B, and C are mutually independent, then

P(A and B and C) = P(A) P(B) P(C)

so that the probability of the three-way intersection is

P(A and B and C) = 0.66 × 0.52 × 0.78 = 0.267696 ≈ 0.27

Answer:

90°.

Step-by-step explanation:

if AR is diameter and the angle ∠AOR (it's m∠2) is based on this diameter, then its measure is 90°. It is central angle.

the given expression does not represent a polynomial

Answer:

The coordinates of the epicenter are (1,2) ie x=1, y =2

Step-by-step explanation:

We use the fact that the distance d  between 2 points, (C y₁) and (x₂, y₂) is computed by the Pythagorean formula:
(x₁ - x₂)² + (y₁ - y₂) = d²

Let the epicenter be located at (x, y)

Distance dA from point A(5,2) is known to be 4 and is given by the equation:
(x-5)² + (y - 2)² = dA² = 4² = 16 ==>

(x-5)² + (y-2)² = 16              (1)

Similarly, the distance  from point B(-2,2) is given as 3. Therefore,
(x - (-2))² + (y-2)² = 3² = 9 or
(x + 2)² + (y-2)² = 9     (2)

Distance from point C(1,-3) ==>

(x-1)² + (y-(-3))² ==> (x-1)² + (y +3)² = 25 ...(3)

(1) - (2) cancels out the y terms and gives us
(x-5)² - (x+2)² = 7   (4)

This simplifies to
x² + -10x + 25 - (x² +4x + 4)  = 7
or
x² + -10x + 25 -x² -4x -  4 = 7
-10x -4x = 7 - 21 = -14
Therefore, -14x = -14 giving us x = 1

Substituting for x = 1 in equation (3) gives us
(1-1)² + (y+3)² = 25 or
y + 3 = √25 = 5 giving y = 2

So we get the epicenter coordinates as x=1, y =2

Crosscheck in each of the equations (1), (2) and (3) for consistency
Equation 1 : (1-5)² + (2-2)² = -4² = 16           Check!

Equation 2: (1-(-2))² + (2-2)² = (1+2)² = 3² = 9  Check!

Equation 3: (1-1)² + 2-(-3))² = (2+3)² = 5²   Check!

Answer:

unsig elimination method to solve simultaneous equations

The fraction of people who chose summer is 1/9.

Fraction is a number that represents the part of the whole.

It is given that

The fraction of people who chose either spring or summer = 6/9

This can also be represented as P( Spring ∪ Summer) = 6/9

P( Spring ∪ Summer) =  P( Spring ) + P( Summer)   ---------- (1)

It is also given that

The fraction of people who chose spring = 5/9

The fraction of people who chose summer = ?

From the equation 1

6/9 = 5/9 + P(  Summer)

P(  Summer) = 1/9

Therefore , The fraction of people who chose summer is 1/9.

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Answer:

5/7

Step-by-step explanation:

It goes up 5, and goes to the right 7.

Answer:

151 in

Step-by-step explanation:

circumference = 2πr

where r = radius

given radius appears to be 24 so r = 24

so we have C = 2πr and r = 24 and we use 3.14 for π

So C = 2(3.14)(24)

==> multiply 2 and 3.14

C = 6.28(24)

==> multiply 6.28 and 24

C = 150.72

The closest answer is 151 so that is the answer

Answer:

y=-9x-9

Step-by-step explanation:

Just plug in your Ys and Xs in order to get y=-9x-9

The equation that shows the miles Andrea drove is $104 = $50 + $3x.

The total cost of renting the moving truck is a function of the cost to rent per day and the total miles driven. The cost to rent the truck per day is the fixed cost while the cost per mile is the variable cost.

Total cost = cost to rent per day + (cost per mile x total mile driven)

$104 = $50 + $3x

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Answer:

First box - divide both by 2

Second box - subtract 8 by 6

last box - subtract x

Answer:

1. 2

2. 4

3. 20

4. 10

5. 4

6. 4

Step-by-step explanation:

I'm not sure about the last one.

hope this helps

have a good day

Answer: 1 3/4

Step-by-step explanation:

8 1/2 - 6 3/4

change the 1/2 to 2/4

then take away 1 from 8 and add 4 to the 2 and it gets 6

6-3=3

7-6=1

We can translate word equations into number equations by recognizing key words as operations:

We're given:

Divide the sentence into parts:

Translate into numbers and operations:

Isolate n:

15 = 3 × (3n - 4)

15 = 9n - 12

27 = 9n

n = 3

15 = 3 × (3n - 4)

n = 3

Answer:

Formula  for arc length  =

arc length  =  r  θ         where θ is in radians

So  we  have

2pi  =  5 θ             solve for θ  and we have that

θ  =  [ 2 pi ]  / 5

The area  of the sector   =

(1/2) r^2 θ   =   (1/2)(5^2) (2pi) / 5   =   5 pi  in^2  ≈ 15.7  in ^2

The rectangular  shape  has more area  = (5 * 4)   = 20 in ^2

Step-by-step explanation:

I don't think this will help but hope it does

Answer:

y = -6x - 57

Step-by-step explanation:

We are given that a line passes through the point (-9, -3) and has a slope of -6

We want to write the equation of this line.

There are 3 ways to write the equation of the line, with the most common way being slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y-intercept

As we are already given the slope of the line, we can immediately plug that in the equation for m

Substitute m with -6.

y = -6x + b

Now we need to find b

As the equation passes through the point (-9, -3), we can use its values to help solve for b.

Substitute -9 as x and -3 as y.

-3 = -6(-9) + b

Multiply

-3 = 54 + b

Subtract 54 from both sides

-57 = b

Substitute -57 as b in the equation.

y = -6x - 57

Topic: finding the equation of the line

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Answer:

Step-by-step explanation:

Discussion

Question One

The first question is just to derive a formula that represents the cost of anything bought in Idaho.

c = p + 6/100 * p

c = p + 0.6 * p

c = 1.06 p

Question Two

The second question requires an entirely different formula. You don't use the first formula. You just use it's idea. Further, you take the sales tax only when you know how much money has exchanged hands.

c  = (p - 30/100 p) + 6/100*(p - 30/100 * p)

c = (p - 0.3p) + 0.06* (p - 0.3p)

c = 0.7 p + 0.06*(0.7p)                          Combine the right side

c = 0.7p + 0.042p                                 Combine

c = 0.742p

33.39 = 0.742p                                        Divide by 0.742

33.39/0,742 = p                            

p = 45 dollars

The original cost was 45 dollars

Answer:

[tex]2-\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\begin{aligned}\dfrac{\sqrt{3}-1}{\sqrt{3}+1}\times \dfrac{\sqrt{3}-1}{\sqrt{3}-1} &=\dfrac{(\sqrt{3}-1)(\sqrt{3}-1)}{(\sqrt{3}+1)(\sqrt{3}-1)}\\\\ & =\dfrac{\sqrt{3}\sqrt{3}-\sqrt{3}-\sqrt{3}+1}{\sqrt{3}\sqrt{3}-\sqrt{3}+\sqrt{3}-1}\\\\ & =\dfrac{4-2\sqrt{3}}{2}\\\\ & = 2-\sqrt{3}\end{aligned}[/tex]

each interior angle= 168°

the number of sides the polygon has.

180- 360/n= 168

12= 360/n

n= 360/12

n= 30

therefore, the polygon has 30 sides.

the answer to your question is 30 sides

hope this helps

Answer:

same

Step-by-step explanation:

A line remains same if the center of dilation is on the line.

Answer:

Goals are easier to achieve in small steps.

Step-by-step explanation:

In the story she scared and she dont want to run a mile but when she tried to run and aim for that goal she finish the 1 mile without noticing it so it better if you take little by little each time to conquer your fear :)

Answer:

Step-by-step explanation:

Initial value is 10 minutes and additional time is 4 minutes per week.

This is a linear function with

The formula for the time of run after n weeks is

Daily run time after 8 weeks is

Step-by-step explanation:

[tex]4 {x}^{2} - 3x + 2 = 0[/tex]

We know that,

For the given quadratic equation

[tex]a {x}^{2} + bx + c = 0[/tex]

[tex]x = \frac{ - b ± \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

On comparing with the given equation we get

a=4,b=(-3),c=2

On substituting we get,

[tex]x = \frac{ - ( - 3) ± \sqrt{ {( - 3)}^{2} - 4(4)(2)} }{2(4)} [/tex]

[tex]x = \frac{3 ± \sqrt{9 - 32} }{8} [/tex]

[tex]x = \frac{3 + \sqrt{23}i }{8} or x = \frac{3 - \sqrt{23}i }{8} [/tex]

[tex]\large{\underline{\underline{\pmb{\frak {\color {red}{Question:}}}}}}[/tex]

[tex] \sf \red{solve \: for \: x}[/tex]

[tex] \sf \red{ \bold{4x^{2} - 3x + 2 = 0}}[/tex]

[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Solution:}}}}}}[/tex]

Here,

a = 4, b = - 3 and c = 2

By, using Quadratic formula, we get:

[tex]x = \frac{ - b \pm \sqrt{ {b}^{2} - 4.a.c } }{2.a} \\ \\ = \frac{ - ( - 3) \pm \sqrt{ { (- 3)}^{2} - 4 \times 4 \times 2 } }{2 \times 4} \\ \\ = \frac{3 \pm \sqrt{9 - 32} }{8} \\ \\ = \frac{3 \pm \sqrt{23} }{8} \\ \\ = \frac{3 \pm4.79}{8} [/tex]

Either,

[tex] \frac{3 + 4.79}{8} \\ \\ = \frac{7.79}{8} \\ \\ = 0.97[/tex]

Or,

[tex] \frac{3 - 4.79}{8} \\ \\ = \frac{ - 1.79}{8} \\ \\ = - 0.23[/tex]

[tex] \boxed{ \huge \frak \red{brainlysamurai}}[/tex]

Answer:

D

Step-by-step explanation:

2x²-24x-14=0

2(x²-12x-7)=0

x²-12x-7=0

Expand A, B, C, D

A. (x-6)²=50 => x²-12x+36=50 => x²-12x-14=0 [not correct]

actually from here you can see B, C are not correct

D. (x-6)²=43 => x²-12x+36=43 => x²-12x-7=0 [correct)

[tex]\text{Apply sine rule,}\\\\~~~~~~\dfrac{28}{\sin 27^{\circ}}=\dfrac x{\sin 64^{\circ}}\\\\\\\implies x = \dfrac{28 \sin 64^{\circ}}{\sin 27^{\circ}}\\\\\\\implies x \approx 55.4334[/tex]

Answer:

t=63

Step-by-step explanation:

2t = 126

t=63

Answer:

because -12 is smaller than x

Step-by-step explanation:

for example some one got 14$ and lost 12$ it mean this -12 and the remaining keep it as 12$ no plus sign

Answer:

[tex]y = \frac{x}{5}[/tex]

Step-by-step explanation:

I am going to assume that by "f-1(x)" you mean [tex]f(x)^{-1}[/tex], which makes this an inverse function problem. To find the inverse of a function, simply swap x and y, then solve for y.

[tex]x = 5y\\y = \frac{x}{5}[/tex]