the perpendicular bisector of the line segment connecting the points $(-3,8)$ and $(-5,4)$ has an equation of the form $y

Answer: 48 old houses

Step-by-step explanation:

Ratio 5:8

Ratio 30:?

30/5=6

8 x 6= ...

48!!!

30:48

did this make sense??

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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Answer:

The answer is 2.55

Step-by-step explanation:

As, the original price = $17

So, 85% of it have been reduced from it so

85% of 17

= 85/100 x 17 = 14.45

So it have reduced by $14.45

So, $17 - $14.45= $2.55

There are 65900 square centimetres present in a backyard garden that has an area of 6.59 square meters.

Scientific notation is the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number is between 1 and 10s, it is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5 × 10¹².

To calculate a square meter value to the related value in cm², just multiply the quantity in m² by 10000 (the conversion factor). Here is the formula for it:

Value in cm² = value in m² × 10000

We need to convert 6.59 m² into cm². Using the conversion formula above, we will get:

Value in cm² = 6.59 × 10000 = 65900 cm²

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The average speed of a falling object during the first 3 seconds of its fall is h(3)-h(0)/3.

The model of the motion of the body is given by, and the function of the motion of the body is given by h(t) = 300 - 16t².

The speed of object after 3 seconds is given by . The falling speed of object during the first 3 seconds of falling is calculated as follows, v = dh(t)/dt = -32t.

So now the average speed of the movement is calculated as follows,

v = h(3)-h(0)/3.

Option d is therefore the correct option.

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Complete question - the height, h, of a falling object t seconds after it is dropped from a platform 300 feet above the ground is modeled by the function . what is the average rate at which the object falls during the first 3 seconds?

A.) h(3) – h(0)

B.) h(3/3)-h(0/3)

C.) h(3)/3

D.) (h(3)-h(0))/3

Answer:

The independent variable is time.

Step-by-step explanation:

(Y=mx+b format)

Maddi's rental for the car costs $13 per hour so the x variable would be the hours (x=hour). This would be a Y= mx + b equation and in this case, Y=13x + 100. Independent means (mathmatically) a variable that does not depend on any other variable for its value. The costs is always changing being dependent on the time portion. The time isn't dependent on anything. Thus, the independent variable is time.

(If you need a starting point which is b, it would be the $100 as the processing fee.)

Therefore, Nolan has 8 dollars left to spend on gift C.

Nolan spent 9 dollars and 34 cents on gift A,

and 3 dollars and 12 cents on gift B,

for a total of

9 + 3 = 12 dollars and

34 + 12 = 46 cents spent so far.

Nolan started with 20 dollars, so he has 20 - 12 = 8 dollars remaining for gift C.

By using wildcards (such as "x" and "y") that are replaced with random values when the quiz is taken, simple calculated questions provide a technique to build individual numerical questions whose response is the result of a numerical formula that contains changeable numerical values.

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Answer: diameter

Step-by-step explanation:

Answer:

The Diameter

Step-by-step explanation:

:)

MN = 17.09 cm

NMV = 16.31°

A cuboid is a six-sided solid known as a hexahedron in geometry. Quadrilaterals make up its faces. Cuboid is short for "like a cube." A cuboid is similar to a cube in that a cuboid can become a cube by varying the lengths of the edges or the angles between the faces.

MV = 1/2 VS = 6cm (midpoint)

NV= 1/2YV = 5cm (midpoint)

MV = \(\sqrt{MV^2 + UV^2} = \sqrt{6^2 + 16^2} = 17.09cm\)

MN = \(\sqrt{MU^2 + NU^2} = \sqrt{6^2 + 16^2 + 5^2} = 17.80cm\)

tanNMV= 5/17.09

= 16.31°

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There are 266 number of  ways to park 3 distinct cars in 9 consecutive parking slots such that at least one parking slot remains vacant between any two cars.

To determine the number of ways to park 3 distinct cars in 9 consecutive parking slots such that at least one parking slot remains vacant between any two cars, we need to consider the possible arrangements.

Let's analyze the scenario:

1. All three cars are parked in adjacent slots

In this case, there are 7 possible positions where the first car can be parked (as it needs at least one vacant slot on the right side), 6 possible positions for the second car (as it also needs one vacant slot on the right side), and the third car will occupy the remaining slot.

Total arrangements for Case 1 = 7 * 6 = 42.

2. One vacant slot between the cars

In this case, there are 7 possible positions where the first car can be parked (as it needs at least one vacant slot on the right side).

After parking the first car, there will be 5 remaining slots where the second car can be parked (one vacant slot between the first and second car).

The third car will occupy one of the remaining 4 slots.

Total arrangements for Case 2 = 7 * 5 * 4 = 140.

3. Two vacant slots between the cars

In this case, there are 7 possible positions where the first car can be parked (as it needs at least one vacant slot on the right side).

After parking the first car, there will be 4 remaining slots where the second car can be parked (two vacant slots between the first and second car).

The third car will occupy one of the remaining 3 slots.

Total arrangements for Case 3 = 7 * 4 * 3 = 84.

Total number of ways = Total arrangements for Case 1 + Total arrangements for Case 2 + Total arrangements for Case 3

Total number of ways = 42 + 140 + 84 = 266.

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The probability that this whole shipment will be accepted is 0.1813. The company will accept 82.87% of the shipments and will reject 17.13% of the shipments, so the likelihood of a rejected shipment is relatively low.

Probability is essentially the likelihood that something will occur. The entire number of potential outcomes must first be known in order to calculate the likelihood of a particular event.

P(E) = Number of favorable outcomes / Number of total outcomes

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Answer:

The maximum revenue is $25,000

Step-by-step explanation:

The model equation is;

R = -2.5p^2 + 500p

To find the maximum value, we differentiate this and set result = 0

The first differential of this model equation is -5p + 500

we set this to zero to get the maximum price

5p = 500

p= 500/5

p = 100

Now to get the maximum revenue, we simply substitute the value of the maximum price

That would be -2.5(100)^2 + 500(100)

= -2.5(10,000) + 50,000

= 25,000 + 50,000

= 25,000

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

13=g/3 +4

9=g/3

27=g

answer:27

In reliability engineering, systems can be represented in terms of components that need to function or fail for the system to function or fail.

The notation koon:G represents the number of components that need to function for the system to function, while koon:F represents the number of components that need to fail to cause system failure. The goal is to determine the value of x in different scenarios to understand the system's behavior.

(a) To find the number x such that a 2004:G structure corresponds to a xoo4:F structure, we need to consider that the total number of components is n = 4. In a 2004:G structure, all four components need to function for the system to function. Therefore, we have koon:G = 4. In an xoo4:F structure, all components except x need to fail for the system to fail. In this case, we have koon:F = n - x = 4 - x.

Equating the two expressions, we get 4 - x = 4, which implies x = 0. Therefore, a 2004:G structure corresponds to a 0400:F structure.

(b) To determine the number x such that a koon:G structure corresponds to a xoon:F structure, we have k components that need to function for the system to function. Therefore, koon:G = k. In an xoon:F structure, x components need to fail for the system to fail.

Hence, we have koon:F = x. Equating the two expressions, we get k = x. Therefore, a koon:G structure corresponds to a koon:F structure, where the number of components needed to function for the system to function is the same as the number of components needed to fail for the system to fail.

By understanding these representations, we can analyze system reliability and determine the criticality of individual components within a larger system. This information is valuable in designing robust and resilient systems, as well as identifying potential points of failure and implementing appropriate redundancy or mitigation strategies.

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Answer

1.4m:6m

Step-by-step explanation:

First let's covert 2m to cm, this will make it easier to split,

2m = 200cm

Then we add the ratio,

7 + 3 = 10

Then we divide by 200cm

200 ÷ 10 = 20

Then we multiply by the ratio,

20 x 7 = 140

20 x 3 = 60

Finally we convert back to meters!

1.4m:60m

Have a great day :)

Given:

Total number of people who signed up = 76

Each boat can transfer = 9 peoples

To find:

The number of boats required.

Solution:

We know that,

\(\text{Required number of boats}=\dfrac{\text{Total number of peoples}}{\text{Number of peoples transferred by each boat}}\)

On substituting the values, we get

\(\text{Required number of boats}=\dfrac{76}{9}\)

\(\text{Required number of boats}=8.44...\)

Number of required boats must be a whole number. So, approximate the data to the next whole number.

\(\text{Required number of boats}=9\)

Therefore, the required number of boats is 9.

From the problem, the cost of 12 oz honey is $5.40

a. the cost of honey per ounce will be :

The answer is $0.45 per ounce.

b. the amount of honey per dollar will be :

The answer is 2.22 oz per dollar

c. when h = ounces of honey and c = cost in dollar

The equation will be :

For the cost of honey per ounce :

For the amount of honey per dollar :

d. Graphing one equation, we will graph c = 0.45h

A line with points (0, 0) and (12, 5.40)

x-axis will be the amount of honey

y-axis will be the cost in dollar.

Answer:

X=0,-2

Step-by-step explanation:

6 x ( x + 2 ) = 0 Divide each term in 6 x ( x + 2 ) = 0 by 6 . 6 x ( x + 2 ) 6 = 0 6 Cancel the common factor of 6 .  x ( x + 2 ) = 0 6 Divide 0 by 6 . x ( x + 2 ) = 0 If any individual factor on the left side of the equation is equal to 0 , the entire expression will be equal to 0 . x = 0 x + 2 = 0 Set the first factor equal to 0 . x = 0 Set the next factor equal to 0 and solve. Tap for more steps... x = − 2 The final solution is all the values that make 6 x ( x + 2 ) 6 = 0 6 true. x = 0 , − 2

Answer:

1 = 254.39

2 = 1205.76

3 = 702

Step-by-step explanation:

1.) When you take the shape apart, you get a cylinder and half a sphere.

When you find the volume of the cylinder, (\(\pi r^{2}h\)) or in this equation, (\(\pi *3^{2}*7\)). Volume of the cylinder = 197.87.

When you find the volume of the sphere, (\(\frac{4}{3}\pi r^{3}\)) or in this equation, (\(\frac{4}{3} *\pi*3^{3}\)). Volume of the sphere = 113.04.

Because there is only half a sphere, you have to divide the volume by 2 to show only half the sphere exists. The new volume of the sphere is 56.52.

197.87 + 56.52 = 254.39

The volume of this figure is 254.39 cubic centimeters.

2.) When you take the shape apart, you get a cylinder and a cone.

When you find the volume of a cylinder, (\(\pi r^{2} h\)) or in this equation, (\(\pi *6^{2} *5\)). Volume of the cylinder = 1017.36.

When you find the volume of a cone, (\(\pi r^{2} \frac{h}{3}\)) or in this equation, (\(\pi *6^{2} *\frac{9}{3}\)). Volume of the cone = 188.4.

1017.36 + 188.4 = 1205.76

The volume of this figure is 1205.76 cubic centimeters.

3.) When you take the shape apart, you get a rectangular prism and a right square pyramid.

When you find the volume of a rectangular prism, (bwh) or in this equation, (12*9*5). Volume of the rectangular prism = 540

When you find the volume of a right square pyramid, (\(a ^{2}\frac{h}{3}\)) or in this equation, (\(9^{2} *\frac{6}{3}\)). Volume of the right square pyramid = 162

540 + 162 = 702

The volume of this figure is 702 cubic centimeters.

Answer:

c

Step-by-step explanation:

Answer:

9, 6√2, 2√3

Step-by-step explanation:

In any question, use the pythagorean theorem:

In any right angle triangle,

a^2 + b^2 = c^2,

where c is the length of the hypotenuse (longest side, opposite to the 90º angle) and a,b, are the lengths of the other two sides.

In q1:

x^2 + 12^2  = 15^2

x^2 + 144  = 225

x^2 = 225-144

x^2 = 81

x = √81

x= 9

In q2:

6^2 + 6^2 = x^2

36 + 36 = x^2

72 = x^2

√72 = x

from here, you can split 72 into 36*2

√36 √2 = x

6√2 = x

In q3:

x^2 + √7 ^2 = √19^2

x^2 + 7 = 19

x^2 = 19 -7

x^2 = 12

x = √12

Split 12 into 4*3

x = √4√3

x = 2√3

Answer:

1.a=5,b=-2

Step-by-step explanation:

2x+a=5-bx

divide by 2

\(x+\frac{a}{2}=\frac{5}{2}+\frac{-b}{2}x\\for~ to~ have ~infinite ~solutions\\\frac{a}{2}=\frac{5}{2}\\a=5\\1=\frac{-b}{2}\\b=-2\)

or

equate the coefficients of like terms

-b=2

b=-2 (coefficient of x)

a=5 (constant terms)

2.

72°

external angle= sum of two opposite internal angles.

∠2=42+30=72°

Answer:

Step-by-step explanation:

x² + 2x - 6 = 0

x² + 2x = 6

Find 2÷ 2 = 1. Find 1² = 1. Add 1  to both sides

x² + 2x + 1 = 6 +1

x² + 2*x * 1 + 1 = 7

(x + 1)² = 7

Solution:

x + 1 = √7

x + 1 = ±2.65

x = 2.65 -1   ;x = -2.65 - 1

x = 1.65   ; x = -3.65

Answer:

= --1 +√7

Step-by-step explanation:

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula. To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

The solution to the given second-order differential equation using Laplace transform is x = e^(-2t) - 5e^(3t).

The Laplace transform of the given second-order differential equation is obtained by applying the transform to each term separately. After solving for the Laplace transform of x(t), we can find the inverse Laplace transform to obtain the solution in the time domain.

In this case, applying the Laplace transform to the equation dx/dt - 3t + 2x = e^3t gives us sX(s) - x(0) - 3/s^2 + 2X(s) = 1/(s - 3). Substituting x(0) = -5 and rearranging, we get X(s) = (-5 + 1/(s - 3))/(s + 2 - 2/s^2).

To find the inverse Laplace transform, we need to rewrite X(s) in a form that matches a known transform pair. Using partial fraction decomposition, we can write X(s) = (-5 + 1/(s - 3))/(s + 2 - 2/s^2) = (1 - 5(s - 3))/(s^3 + 2s^2 - 2s + 6).

By comparing this form to the known Laplace transform pair, we can conclude that the inverse Laplace transform of X(s) is x(t) = e^(-2t) - 5e^(3t). Hence, the solution to the given differential equation is x = e^(-2t) - 5e^(3t).

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Answer: -15

Step-by-step explanation:

do 17-32= -15

Answer:

C

Step-by-step explanation:

m<2:

180 - 60 - 48 = 72

Vertical angle thm:

m<1 = 48

m<3:

180 - 62 - 48 = 70

Answer:

-2,-9

Step-by-step explanation:

im not 100 perent sure ifthis is right or not

Answer:(-2,-9)

Step-by-step explanation: