To find the distance from the house at A to the house at B. a surveyor measures the angle ACB, which is found to be 60°, and then walks off the distance to each house, 20 feet and 60 feet, respectively. How far apart are the houses? 60 ft 20 ft 60° BD The houses are foot apart (Round to the nearest hundredth as needed) Let v be the vector from initial point P, to terminal point P2. Write v in terms of i and ). P. - (- 9,8). P2 (-1.4) VE Type your answer in terms of tand)

If f(x) = 3x-4 and g(x) = x², find the value  of f(3) - g(2)

Given f(x) = 3x-4

Then value of f at x=3 ⇒ f(3) = 3(3) -4 = 9-4 = 5

And Given g(x) = x²

Then value of g at x=2 ⇒ g(2) = (2)² = 4

The value f(3) - g(2) = 5 - 4 = 1

Therefore, the value of f(3) - g(2)  is 1.

The nature of solutions to equations can be finite, infinite or no solution. The solution to the system of equation 3x + 6 = -1-3 + 4x is 10

The nature of solutions to equations can be finite, infinite or no solution.

Given the linear solution as shown:

3x + 6 = -1-3 + 4x

Collect the like terms

3x - 4x = -1 -3 -6

-x = -10

Multiply both sides by -1

-(-x) = -(-10)
x = 10

Hence the solution to the system of equation 3x + 6 = -1-3 + 4x is 10

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Answer:

108r4

Step-by-step explanation:

91+16 yea go install senebratic

Answer:

It has been answered and I need some point so I hope you don't mind lol

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

tan x = opp./adj.

tan 30° = t/20 so t = 20* tan 30° = 11.547≈12

T = t+5 = 12+5 =17  the closest one I see is C.16

Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.

Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12

We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.

Take the provided linear equation system into consideration.

3x - 2y = 4 ................(1)

9x - 6y = 12 ..................(2)

Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12

The slopes of the provided equations are also same.

Difference with regard to x for equation (1) yields,

additional to equation (2),

With regard to x, we can differentiate to get,

The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.

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For any given event, the probability of that event and the probability of the non-occurrence of the event must sum to one.

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

The probability of occurrence formula, also known to some as the “probability of occurrence formula PMP” is a tool for determining the chance that a given risk will occur. The formula requires two data points: number of favourable events possible and the total number of events possible.

Non occurrence patterns identifies the absence of events when detecting a pattern.

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Answer:

4 gallons

Step-by-step explanation:

Say that g = the number of gallons of a 20% salt solution,

The first thing we want to do here is to convert each " percentage " into decimal form, to make things a bit simpler here.

( \(20(percent) = 0.20\)

( \(30( percent ) = 0.30\)

( \(25( percent ) = 0.25\)

Before this mixture takes place, the 20% salt solution is associated with g, the number of gallons of a 20% salt solution. Respectively the 30% salt solution is associated with 4 gallons. After mixing the two ( g and 4 ) the 25% salt solution should be associated with g + 4. We can therefore conclude the following equation -

0.20( g )+0.30( 4 ) = 0.25( g + 4 )

And now, let us solve for " g, "

0.2g + 1.2 = 0.25g + 1

- 0.2g       = - 0.2g

_________________

1.2 = 0.05g + 1

- 1  =          -  1

_________________

0.2 = 0.05g,

g = 4 gallons of a 20% salt solution

Answer:

$5.95

if 20 oz= 7$

then 17 oz= 5.95

Answer

to solve the equation for t

You have r= t/m

So you need to rearrange the terms

r= t /m ; t = r*m

you pass the m from dividing to multiplying

t = r * m

The given expression is (M(NAQ))V(¬M →P)(O). Here, P is true and N is false. Now, we will put the values of P and N into the expression.

The given expression is: (M(NAQ))V(¬M →P)(O)

Putting the values of P and N into the expression:

(M(NAQ))V(¬M →T)(O)Since P is true, (¬M →P) becomes (¬M →T)

Now, the given expression becomes (M(NAQ))V(¬M →T)(O)

As we can see, there is a tautology O in the given expression, so the expression is true regardless of the values of M, N, and Q.Thus, the answer to the first part of the question is option a: True.

Line 14 of the given proof requires (¬BA -A) to be true. Here, we have to assume that B is true, and we will use proof by contradiction to show that A must also be true. We can represent this in the following way:

We have to prove that (¬BA -A) is true. For this, we will assume that B is true, and we will use proof by contradiction to show that A must also be true. Now, suppose B is true, but A is false. This means that we have the following:¬BA -A¬B-ABut this contradicts our assumption that B is true. Therefore, A must also be true, which proves that (¬BA -A) is true.

Line 18 of the given proof requires (DAG) VH to be true. To prove this, we can use modus ponens to show that (DAG) VH is true. We can represent this in the following way:

We have to prove that (DAG) VH is true. For this, we can use modus ponens to show that (DAG) VH is true. We can represent this in the following way:DAG → (Hv (DAG)) (Given)DAG (Given)Hv (DAG) (Modus ponens from lines 16 and 15)

Now, we can represent the above statement as (DAG) VH, which proves that (DAG) VH is true.

The truth value of the given expression (M(NAQ))V(¬M →P)(O) is True, regardless of the values of M, N, and Q. Line 14 requires (¬BA -A) to be true, and line 18 requires (DAG) VH to be true.

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In order to divide a couple of functions, we simply divide their equations:

if f(x) = 25 - x²

and g(x) = x + 5

then

In order to simplify the fraction we just factor the numerator:

25 - x² = (5 + x) (5 - x)

then

Since

5 + x = x + 5

we can cancel this factor from the denominator:

then,

Answer: (f/g)(x) = 5 - x

The second hand moves 6 degrees in one second, it will take it: 294/6 = 49 seconds to move from halfway between 1 and 2 to 4/5 of the way from 1 to 2.

The measure of the arc is 144 degrees.

When the second hand of the clock moves from halfway between the 1 and the 2 to 4/5 of the way from the 1 to the 2, it moves a total of 144 degrees.

This can be calculated as follows: The second hand of a clock completes one full revolution every 60 seconds or 1 minute.

This means that in 1 second, it moves 360/60

= 6 degrees.

To find the measure of the arc when the second hand moves from halfway between the 1 and the 2 to 4/5 of the way from the 1 to the 2, we need to find the difference between the two positions in degrees.

The position halfway between the 1 and the 2 is 1.5 on the clock face.

This is equivalent to 45 degrees (since the clock face is divided into 12 hours, each hour marking is 30 degrees apart, so halfway between 1 and 2 is 30+15 = 45 degrees).

4/5 of the way from the 1 to the 2 is 4/5 x 30 = 24 degrees from the 1 mark.

Therefore, the total angle between halfway between 1 and 2 and 4/5 of the way from 1 to 2 is:

24 + (360 - 45)

= 339 degrees.

However, we need to find the difference between these two positions, not the total angle.

Therefore, we need to subtract the position of the second hand at halfway between 1 and 2 from the position at 4/5 of the way from 1 to 2:

339 - 45

= 294 degrees.

Since the second hand moves 6 degrees in one second, it will take it:

294/6 = 49 seconds to move from halfway between 1 and 2 to 4/5 of the way from 1 to 2.

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Answer:

-5/3

Step-by-step explanation:

The 99% confidence interval for the true mean length of the manufactured bolt is (2.9177, 3.0823)

Here, we need to construct a 99% confidence interval for population mean (μ) is given by

μ = x + Zα/2 * σ/√n   or    μ = x - Zα/2 * σ/√n

where, μ = population mean

x = sample mean

  = 3 inches

σ = population standard deviation

  = 0.3 inches

Zα/2= z score for a two tailed test at level of significance α = 2.576( for a 99% confidence level)

So, the upper limit would be,

μ = 3 + 1.645 * (0.3/√36)

μ = 3 + 1.646 * (0.3/6)

μ = 3.0823

And the lower limit would be,

μ = 3 - 1.645 * (0.3/√36)

μ = 3 - 1.646 * (0.3/6)

μ = 2.9177

Hence, the 99% confidence interval is (2.9177, 3.0823)

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Answer:

Step-by-step explanation:

Outlier

Answer:

41.6666%

Step-by-step explanation:

Answer:

poop

Step-by-step explanation:

trust me its b

Answer:

the slop is -2/3

Step-by-step explanation:

look at (-3,5) and (-1,2) they are 2 "blocks" from each other and 3 down

it's negative because it's going down

Answer:2x

Step-by-step explanation:

Let:

x = Amount of first brand

y = Amount of second brand

so:

where:

So:

so:

Answer:

44 mm of the first brand

176 mm of the second brand

The ladder reaches approximately 8.66 feet up the wall.

To find out how far up the wall the ladder reaches, we need to use the Pythagorean theorem. The theorem states that the square of the hypotenuse (in this case, the length of the ladder) is equal to the sum of the squares of the other two sides (the distance of the base of the ladder from the wall and the height the ladder reaches on the wall).

So, if the base of the ladder is 5 feet from the wall, and the ladder is, say, 10 feet long, we can use the Pythagorean theorem to find out the height the ladder reaches on the wall. The equation would be:

10^2 = 5^2 + x^2

(where x is the height the ladder reaches on the wall)

Simplifying the equation, we get:

100 = 25 + x^2

75 = x^2

x = sqrt(75)

x ≈ 8.66 feet

Therefore, the ladder reaches approximately 8.66 feet up the wall.

In summary, we can use the Pythagorean theorem to determine the height the ladder reaches on the wall, given the distance of the base of the ladder from the wall and the length of the ladder itself.
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The x-coordinate of the treasure is -48 and the y-coordinate of the treasure is -108.

A system of equations can be utilized to find the coordinates of the treasure utilizing the data on Riddler's treasure map.

The equations that may be used to find the coordinates of the treasure are given below:

2x – y = 18x + 7y = 98

11x + 26y = 331

And, The coordinates of the treasure may be calculated using these equations.

Given below is the step by step process to calculate the x-coordinate and y-coordinate of the treasure on Riddler's treasure map:

Step 1: Firstly, you need to substitute the values of A and B in the second equation as follows:

2x – y = 189x + 7y = 98

Then, you need to rearrange the second equation as shown below:

7y = 98 – 9x

Thus, you get:

y = (98 – 9x)/7

Now, you need to substitute this value of y in the first equation.

Therefore, you get:2x – [(98 – 9x)/7] = 18

This may be simplified to get:

14x – 98 + 9x = 126

Thus, you get:

23x = 224

Therefore,x = 224/23 = 9.73

Step 2: Now, you need to substitute the value of x in the second equation to obtain the value of y.

Therefore, you get:'

9(9.73) + 7y = 98

Thus, you get:

7y = 98 – 88.57

Therefore,y = 1.23

Step 3: To get the coordinates of the treasure, you need to substitute the values of x and y in the equation C = A/A-38. Therefore, you get:

C = −12 (9.73) + 7 (1.23)

C = −116.76 + 8.61

C = −108.15

Thus, the x-coordinate of the treasure is -48 and the y-coordinate of the treasure is -108.

Therefore, The x-coordinate of the treasure is -48 and the y-coordinate of the treasure is -108.

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Answer:

Therefore, the approximate monthly payment is $548.85

Step-by-step explanation:

The amount of student loans Erica currently has = $34,006.00

The duration over which Erica is to pay back the loan = 7 years

The annual interest rate for the loan = 9.1%

Therefore, we have the geometric sequence formula is given as follows;

\(A_n = P( 1 + r)^n - M \times \left [ \dfrac{(1 + r)^n-1}{r} \right ]\)

Where;

M = The monthly payment

P = The initial loan balance = $34,006.00

r = The annual interest rate = 9.1%

n = The number of monthly payment = 7 × 12 = 84

Aₙ = The amount remaining= 0 at the end of the given time for payment

Substituting the values into the above formula, , we get;

\(0 = 34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} - M \times \left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]\)

\(M = \dfrac{34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} }{\left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]} \approx 548.85\)

Therefore, the approximate monthly payment = $548.85

Answer:

2x + 10

_______

x^3 - 4x

Step-by-step explanation:

this is the answer

Answer:

726.65 cubic inches

Step-by-step explanation:

We are going to assume that the head, middle and bottom are spheres.

The formula to get the volume of a sphere is

\(V= \frac{4}{3}\pi r^{2}\) where r is the radius of the sphere.

Now, let's proceed to apply this formula to the 3 spheres of the snowman:

The head is 12 inches wide (diameter), thus, the radius would be 6 inches:

\(V= \frac{4}{3}\pi r^{2}\\V= \frac{4}{3}\pi 6^{2}\\V= \frac{4}{3}\pi 36\\V=\frac{144\pi }{3} \\V=38\pi\) cubic inches

The middle is 16 inches wide (diameter), thus, the radius would be 8 inches.

\(V= \frac{4}{3}\pi r^{2}\\V= \frac{4}{3}\pi 8^{2}\\V= \frac{4}{3}\pi 64\\V=\frac{256\pi }{3} \\V=85.3\pi\)  cubic inches

The bottom is 18 inches wide (diameter), thus the radius would be 9 inches.

\(V= \frac{4}{3}\pi r^{2}\\V= \frac{4}{3}\pi 9^{2}\\V= \frac{4}{3}\pi 81\\V=\frac{324\pi }{3} \\V=108\pi\) cubic inches.

Now, to get the total volume of the snowman we're going to sum up the volume of all three spheres:

Total volume = \(38\pi +85.3\pi +108\pi =231.3\pi\) cubic inches.

If we take pi = 3.1416,

Total volume = \(231.3(3.1416)=726.65\) cubic inches.

The missing part of the equation is \(-7.0\times10^4 s^2kg⋅m^2 / 1000000.\)

To fill in the missing part of the equation, let's analyze the given information and the desired conversion. The equation is:

\((-7.0\times 10^4 s^2g⋅m^2)\cdot \pi = ? s^2kg\cdot m^2\)

In this equation, we have a quantity expressed in\(s^2g\cdot m^2\) units on the left-hand side. To convert it to \(s^2kg\cdot m^2\) units, we need to multiply it by a conversion factor.

To perform the conversion, we can use the fact that 1 kg is equal to 1000 g. Therefore, the conversion factor we need is:

1 kg / 1000 g

To ensure that the units cancel out correctly, we need to square this conversion factor because we have \(s^2g\cdot m^2\) on the left-hand side. So the missing part of the equation is:

\((-7.0\times 10^4 s^2g\cdot m^2)\cdot \pi = (-7.0\times 10^4 s^2g\cdot m^2)\cdot (1 kg / 1000 g)^2\)

Simplifying this expression, we get:

\((-7.0\times10^4 s^2g\cdot m^2)\cdot \pi = -7.0 \times10^4 s^2kg\cdot m^2 / 1000000\)

Therefore, the missing part of the equation is \(-7.0 \times 10^4 s^2kg\cdot m^2 / 1000000.\)

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