What is an equation of the line that passes through the points (4,1) and (8,-3)?

PLZZ HELPP MEE!!

y-(-9) = -6(x-(-4)), y = -6x-33

Answer:

Following are the solution to the given question:

Step-by-step explanation:

The population std. dev of the dog weight=8

\(\sigma=8\\\\P(\text{guess with in 16 lbs}) = P(|X-\mu|\leq 16)\\\\=P(-2 \leq Z \leq 2) = 0.9544\\\\\)

Calculating the payout w s.t:

\(E[netpay]=0=(-5) \times 0.9544+w\times (1-0.9544)\\\\ w =(5 \times \frac{0.9544}{1-0.9544}) =\$ 104.65\)

therefore, we assume that the weight of the dog is a normal distribution with std. deviation that is 8.

Answer:

-12

Step-by-step explanation:

The solution is : the value of y is 7.

Here, we have,

The perimeter of a rectangle is found by

P = 2 (l+w)

P = 2( 3y+3+2y)

Combine like terms

P = 2(5y+3)

We know the perimeter is 76

76 = 2(5y+3)

Divide each side by 2

76/2 = 2/2(5y+3)

38 = 5y+3

Subtract 3 from each side

38-3 = 5y+3-3

35 = 5y

Divide each side by 5

35/5 = 5y/5

7 =y

We want the length of AD = BC = 2y

AD = 2y=2*y = 14

Hence, The solution is : the value of y is 7.

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The time taken by Amy to travel to the place was t = 4 hours.

A measure of average speed is the amount of distance travelled in a given amount of time. It is determined by dividing the overall mileage by the overall time required to cover that mileage.

In physics and other sciences, average speed is frequently employed to describe how objects move. For instance, it is possible to estimate how long it will take to go a certain distance or assess a car's fuel economy by looking at its average speed over a given distance. By dividing the whole distance travelled by the total time required, average speed may also be used to characterise the speed of an object that is moving at various speeds at different points along its path.

Let the time taken to get back = t + 1.

Now, it took one hour less time to get there thus time = t.

Now, average speed is given as:

average speed = total distance / total time

Substituting the values:

50 km/h = d / t

d = 50t  .........(1)

40 km/h = d / (t + 1)

d = 40(t + 1)......(2)

Setting the value of d as equal we have:

50t = 40(t + 1)

50t = 40t + 40

10t = 40

t = 4

Hence, the time taken by Amy to travel to the place was t = 4 hours.

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Answer:

infinite solutions, true for all x

Step-by-step explanation:

-6 - 8x = -2(4x + 3)

Distribute

-6-8x =-8x-6

Add 8x to each side

-6-8x+8x = -8x-6+8x

-6 =-6

Since this is always true, the equation is true for all x

-6-8x = -2(4x+3)

-6-8x = -8x-6

-8x+8x = -6+6

0=0

infinite solution

THANK YOU

Answer:

Hello,

P(B)=0.65

Step-by-step explanation:

If P(A+B) means P(A∪B)=0.93 then you may read below.

Let's say x=P(B)

A and B being independent, P(A∩B)=P(A)*P(B)=0.8*x

Since P(A∪B)=P(A)+P(x)-P(A∩B) ,

0.93=0.8+x-0.8*x

0.2*x=0.13

x=0.65

Answer: A

Step-by-step explanation: The bluebird Inn is more expensive per night because 475 is greater than 350.

Answer:

Step-by-step explanation:

It is given that length and width of a rectangle is 11 cm and 10 cm.

We know the formula of Perimeter of rectangle

\(:\implies \: \) Perimeter = 2(L + B)

Where 'L' denote the length of the rectangle and 'B' denotes the breadth of the Rectangle.

Now Let's substitute the value of Length= 11 cm and Breadth = 10 cm in the above formula .

\(:\implies \: \) 2(11 + 10)

\(:\implies \: \) 2 × 21

\(:\implies \: \) 42 cm

Henceforth The perimeter of the rectangle is 42 cm

The perimeter of a rectangle is calculated by multiplying by 2 the sum of its length and width. So, in this case, the rectangle's perimeter is 42 cm.

The subject of this question is on calculating the perimeter of a rectangle. The formula for finding the perimeter of a rectangle is 2*(length + width). Applying the values given, that is length = 11 cm and width = 10 cm.

So, the perimeter of a rectangle = 2*(11 + 10) cm = 2*21 cm = 42 cm

Therefore, the correct option is OC. 42 cm.

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The volume of the triangular prism is given by

where,

By substituting the values into the volume formula, we get

that is, the volume is equal to

Answer:

24:60

Step-by-step explanation:

Answer:

A.   And   D.

Step-by-step explanation:

I hope this helps

The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).

To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.

Apply the product rule:

Let u(x) = -5cos(x) and v(x) = xtan(x).

Then, the product rule states that (uv)' = u'v + uv'.

Derivative of u(x):

u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]

Derivative of v(x):

v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]

= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]

Applying the product rule:

(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))

= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Simplify the expression:

df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.

Substitute x = π/4 into the derivative expression:

df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)

Simplify the trigonometric values:

sin(π/4) = cos(π/4) = 1/√2

tan(π/4) = 1

sec(π/4) = √2

Substituting these values:

df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)

Simplifying further:

df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)

= (5π/4√2) - (10π/4√2) - (5/√2)

= (5π - 10π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:

df = (-5π - 5√2)/(4√2) * (1/24)

= (-5π - 5√2)/(96√2)

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Solution

For this case given two points:

(x1, y1) and (x2, y2)

And we can find the slope with the following equation:

Answer:

x = -2/5

x = 3/4

Step-by-step explanation:

Factoring:

20x²-7x-6=0

20x²+8x - 15x - 6 = 0

4x * (5x + 2) - 3 * (5x + 2) = 0

(5x + 2) * (4x - 3) = 0

Cases:

5x + 2 = 0

4x - 3 = 0

x = -2/5

x = 3/4

Answer:

20x^2 -x(15-8)-6=0 here 6×20=120an by subtracting 15-8 we got seven where the 15×8 is also 120

Step-by-step explanation:

now,

20x^2 -15x+8x -6 =0 (here -×-is equal to +thus we write +8)

5x(4x-3) +2(4x-3)=0

(5x+2) (4x-3)=0

Either 5x=-2

X=-2/5

Or

4x=3

X=3/4

Answer:

Step-by-step explanation:

                                                   error

Answer:

x ≈ 75.2

Step-by-step explanation:

using the tangent ratio in the right triangle

tan62° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{40}\) ( multiply both sides by 40 )

40 × tan62° = x , then

x ≈ 75.2 ( to the nearest tenth )

After these reflections, the coordinates of P′ will be ( __4__ , __-4__ ).

What are coordinates?

Coordinates are a pair of numbers that identify a specific point on a coordinate plane, which is a grid of integers. Any point's location on a plane can be described by an ordered pair of values (x, y), which are referred to as coordinates.

Step by step Explaination:

* Let's update a few changes.

If x-axis reflection at position (x, y)

∴ Seeing it is (x , -y)

If the y-axis at position (x, y) was reflected

∴ Seeing it is (-x , y)

* Let's deal with the issue.

The triangle PQR, which is defined by the points P(-4, -4), Q(-1, -3), and R. (-3, -1)

Across the x-axis, the triangle is reflected.

PQR is visible along the x-axis.

All y-coordinates of the vertices P, Q, and R have their signs reversed.

∴ The new points are going to be (-4, 4), (-1, 3), and (-3 , 1)

A reflection of the new vertices along the y-axis will occur.

All of the new vertices' x-coordinates had their signs reversed.

The new points are (4, 4), (1, 3), and (3 , 1).

The updated vertex positions will reflect along the x-axis to produce the letters P'Q'R.

∴ The new vertices' y-coordinates all had their signs flipped.

∴ P' = (4 , -4) , Q' = (1 , -3) , R' = (3 , -1) (3 , -1)

The coordinates of P′ following these reflections will be (4 , -4).

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Answer:

A, B, C, and D

Step-by-step explanation:

all answer choices are the same

Answer:

170.67

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

Modeling the situation

If we fill the pyramid mold 2\text{ cm}2 cm2, start text, space, c, m, end text from the top, we have a smaller pyramid that's similar to the original pyramid.

Since the pyramids are similar, we can set up a proportional equation to find the side lengths and height of the smaller pyramid, and then find its volume.

Hint #22 / 4

Base and height of smaller pyramid

The height of the smaller pyramid is 10-2=8\text{ cm}10−2=8 cm10, minus, 2, equals, 8, start text, space, c, m, end text.

We can solve for the length \blueE{\ell}ℓstart color #0c7f99, ell, end color #0c7f99 in the smaller pyramid using a proportional equation.

\begin{aligned} \dfrac{\blueE{\ell}}{10} &= \dfrac{8}{10} \\\\ \blueE{\ell} &= \blueE{8} \end{aligned}  

10

ℓ

​  

ℓ

​  

=  

10

8

​  

=8

​  

Hint #33 / 4

Volume of smaller pyramid

\begin{aligned} \text{volume}_{\text{pyramid}} &= \dfrac13(\text{base area})(\text{height}) \\\\ &= \dfrac13 \cdot (\blueE{\ell})^2\cdot (\text{height}) \\\\ &= \dfrac13 \cdot \blueE{8}^2\cdot(8)\\\\ &= \dfrac{512}{3}=170.\overline{6}\\\\ &\approx \purpleD{170.67} \end{aligned}  

volume  

pyramid

​  

​  

=  

3

1

​  

(base area)(height)

=  

3

1

​  

⋅(ℓ)  

2

⋅(height)

=  

3

1

​  

⋅8  

2

⋅(8)

=  

3

512

​  

=170.  

6

≈170.67

​  

Hint #44 / 4

To the nearest cubic centimeter, the volume of the smaller pyramid is about 171\text{ cm}^3171 cm  

3

171, start text, space, c, m, end text, cubed.

Answer:

6743÷110 = 67.43÷1.1........... thanks

Answer:

MKJ = (245/360) πd

Step-by-step explanation:

line JL is the diameter (as is NK). angle LQK = 60°. that means that since JL and NK are straight lines, angle JQN must also = 60°.

angles on a straight line must add up to 180°. so angle JQK = 180 - 60 = 120°. we know angle LQK = 60°. what about angle LQM? again, angles on straight line add up to 180°. so LQM = 180 - 60 - 55 = 65°.

a full circle is 360°.

we now have something to work with.

move counter-clockwise around the circle from M to J. we have (65 + 60 + 120)° = 245°.

in other words, we need to find the arc of 245/360 of this circle.

circumference of full circle is π X diameter = πd

so arc MKJ = (245/360) πd

The cost of making 35 items is 1100 and the domain is (-∞,∞)

The cost of making 35 items :

plug the value into the cost equation

C(35) = 10(35) + 800

C(35) = 350 + 800

C(35) = 1100

Hence, cost of making 35 items is 1100

Since the value of X can be any real number, we can plug in any real number for x and get a real number output.

Hence, the domain = (-∞,∞)

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SOLUTION

The possible outcomes for sum of numbers when rolling two dice is shown

The total possible outcome is 36

The possible number of outcome of obtaining a 4 is 3

Therefore the probability of getting a sum of 4 is

The possible number of outcome of obtaining a 8 is 5

Therefore the probability of getting a sum of 8 is

Hence the probability of getting a sum 4 or a sum of 8 is

This gives

Therefore the probability of getting a sum 4 or a sum of 8 is 0.2

Twelve people join hands for a circle dance.In how many ways can they do this? Suppose six of these people are men, and the other six are women. In how many ways can they join hands for a circle dance, assuming they alternate in gender around the circle

Answer:

86400 ways

Step-by-step explanation:

Since the circle can be rotated, the number of ways to arrange a distinct number of n objects in a circle will be (n−1)!.

Now, if we rotate the circle with the six women, we will see that there are 5! ways with which they can be placed in the circle.

After picking the places for the women, we will now fill each gap between two women with a man.

We have 6 men. Thus, number of ways to arrange the men is 6!

Thus,number of ways they can join hands for a circle dance, assuming they alternate in gender around the circle = 5! × 6! = 86400 ways

Answer:

Vertex: (-2, 3)

Step-by-step explanation:

We first have to find the x - variable of the vertex point.

The formula to find the x - variable is x = -b/ 2a.

\(3x^{2} + 12x + 15\)

a        b        c

Substitute the values into the formula.

x = - 12 / 2(3)

x = - 12 / 6

x = - 2       < - This is the x - variable

Now we have to find the y - variable of the vertex point.

To find the y - variable, we have to substitute the x value into the original equation (\(3x^{2} + 12x + 15\)).

g(x) = y    

\(y = 3(-2)^{2} + 12(-2) + 15\\\)

\(y = 3(4) - 24 + 15\)

\(y = 12 - 24 + 15\)

\(y = - 12 + 15\)

\(y = 3\)

So, now that we have the x and y values, we can find the vertex which is (-2, 3).

Hope this helps!

Answer:

m=25/28

Step-by-step explanation:

Answer:

16 weeks

Step-by-step explanation:

85 divided by 5 is 17. Take away one week for the $5 he already has. So you get 16 weeks.

Hope this helps you!

Answer:

A. g(x) = ∛(x-2) + 1

Step-by-step explanation:

Answer:

A. g(x) = ∛(x - 2) + 1.

Step-by-step explanation:

f(x) has moved 2 units to the right and up 1 unit.

Answer:

x = 11

Step-by-step explanation:

8x - 8 + 30 = 11x -11

3x = 33

x = 11

Answer:

x=11

Step-by-step explanation:

8x-8+30+11x-11

3x=33

x=11

hehe the same as her/him

Answer:

D. 14.73

Step-by-step explanation:

According to Pythagoras,

19^2 = 12^2 + x^2

x^2 = 19^2 - 12^2

x^2 = 361 - 144

x^2 = 217

x = \(\sqrt{217}\)

x = 14.73