A, B, and C are the locations of three support posts. The bearing from post B to post A is 45degrees. The bearing from post A to post C is 135degrees. If AB= 8 meters and AC= 6 meters, what is the bearing to post B from post C?

Answer:

y=4

Step-by-step explanation:

-9x - 3y = 6

Let x =-2

-9(-2) -3y =6

18 -3y =6

Subtract 18 from each side

18-18-3y = 6-18

-3y = -12

Divide each side by -3

-3y/-3 =-12/-3

y=4

Answer: y=2x

Step-by-step explanation: A perpendicular line is the opposite reciprocal of the slope. The opposite reciprocal of -1/2 is 2.

The equation of the second line is y=2x

Answer:

5

Step-by-step explanation:

To solve with calculus, distance is the integral of speed:

d = ∫ |v| dt

d = ∫₀⁴ |t − 3| dt

d = -∫₀³ (t − 3) dt + ∫₃⁴ (t − 3) dt

d = ∫₀³ (3 − t) dt + ∫₃⁴ (t − 3) dt

d = (3t − ½ t²) |₀³ + (½ t² − 3t) |₃⁴

d = [ (9 − 9/2 ) − (0 − 0) ] + [ (8 − 12) − (9/2 − 9) ]

d = 9/2 + 1/2

d = 5

You can also find this geometrically.  Graph y = |x − 3|, then find the area under the curve.  You will find it's the area of two triangles.

d = ½ (3)(3) + ½ (1)(1)

d = 5

It's important to note that distance is not the same thing as displacement.  Displacement is the difference between where you start and where you stop.  Distance is length of the path you take.

[tex]\bf \cfrac{x^5y^3}{x^2-x-6}\cdot \cfrac{x^2-9}{x^2y^4}\implies \cfrac{x^5y^3}{x^2-x-6}\cdot \cfrac{\stackrel{\textit{difference of squares}}{x^2-3^2}}{x^2y^4} \\\\\\ \cfrac{x^5y^3}{~~\begin{matrix} (x-3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(x+2)}\cdot \cfrac{~~\begin{matrix} (x-3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(x+3)}{x^2y^4}\implies \cfrac{x^5y^3}{x+2}\cdot \cfrac{x+3}{x^2y^4}[/tex]

[tex]\bf \cfrac{x^5y^3}{x^2y^4}\implies \cfrac{x^5x^{-2}}{y^4y^{-3}}\cdot \cfrac{x+3}{x+2}\implies \cfrac{x^{5-2}}{y^{4-3}}\cdot \cfrac{x+3}{x+2}\implies \cfrac{x^3(x+3)}{y(x+2)}\implies \cfrac{x^4+3x^3}{yx+2y}[/tex]

Conner's work is correct. To combine and make it simple, you Multiply:

(3^5+9)+(6^8+10) which will equal 3^14 6^18.

But Jane's work, instead of adding, Jane multiplies. So, Conner is correct.

Hope that helped!

Answer:

C) h(x)=-1.3-1.75x

Step-by-step explanation:

f(x)=3.7-2x  

g(x) = 0.25x-5

f(x) + g(x) =3.7-2x   + 0.25x-5

Combine like terms

              = -1.75x - 1.3

Answer:

The answer is C.) h(x)=-1.3-1.75x

Step-by-step explanation:

Answer:

260 degrees is coterminal with -100 degrees.

Step-by-step explanation:

So a full rotation about a circle is 360 degrees.

So if we do 360+(-100) we get 260.

They will share the same terminal ray because if we go 100 clockwise from the initial ray that will be an angle coming counterclockwise 260 from the initial ray.

100+260=360.

Answer:

260°

Step-by-step explanation:

Co terminal angles are angle ± 360°n where n = 0, 1, 2, 3, ....

The least positive = - 100° + 360° = 260°

Final answer:

Melody drove approximately 56.57 miles in total on her trip from her grandparents' house to her cousin's house by traveling in a straight line.

Explanation:

Melody drove a distance of 40 miles in a straight line from her grandparents house to her cousin's house. To find the total distance she drove, we can use the Pythagorean theorem as she traveled in a right-angled triangle.

Distance due south = 40 miles

Distance due west = 40 miles

Total distance driven = √(40² + 40²)

Total distance driven = √(1600 + 1600) = √3200

Total distance driven ≈ 56.57 miles

Answer:

Step-by-step explanation:

The first thing you have to do is look at the mother curve. That curve is y = 1/x

It becomes undefined at x = 0 (I will show both curves below).

That is not what has been given. The graph you have been given becomes undefined at x = - 1 , so the equation of the curve (so far) y = 1/(x + 1)

Now we have to worry about the y intercept. When x = 0, y = 4. That can be accomplished in two ways

A. y = 4/(x + 1) or

B.  y = 2/(x + 1) + 2 or

C.  y = 1/(x + 1) + 3

All three of these will give a value of y = 4 when x = 0. But you have 1 problem left. What happens as x goes to say 5.

The value of A will give y = 4/(5 + 1)=4/6 = 2/3. Which does not work.

The value of C will give y = 1/(5 + 1) + 3 which gives 3 1/5 which also does not work.

Only B works. y = 2/(5+1) + 2 = 2/6 + 2 = 2 1/3 which is a little above the horizontal asymptote.

Red: y = 1/x

Blue: y = 2/(x + 1) + 2

The value at the end is never going to change. y will always be just a bit

Answer:

1,100

Step-by-step explanation: The hundreds place is the second 1 from the left. That number will stay as it is or go up one number, based on the number to its right, which in this case is a 3. If the 3 is the number 5 or larger, then the 1 would round up to a 2, but since the 3 is less than 5, the 1 stays a 1. All numbers to the right of the place value you are rounding to become zeros.

Rounding 1137 to the nearest hundred:

Answer:

m=2

Step-by-step explanation:

6x - 3y + 6 = 0

Subtract 6x from both sides.

-3y + 6 = -6x

Subtract 6 from both sides.

-3y = -6x - 6

Find the GCF of both sides by, which, in this case, is -3. Divide both sides by the GCF, -3.

y = 2x + 2

Since the formula for linear equations is:

y = mx + b , 2 in the slope.

Let's consider each of the options and evaluate whether the given number is rational or not. Remember, a rational number is any number that can be expressed as the quotient or fraction of two integers (where the denominator is not zero).
1. **3•π**: This number is not rational because π (pi) is an irrational number. An irrational number is a number that cannot be expressed as a simple fraction - its decimal goes on forever without repeating. When you multiply an irrational number by an integer (in this case 3), the result is still irrational.
2. **2/3 + 9.26**: To determine if this sum is rational, we can evaluate each addend. The fraction 2/3 is clearly rational, as it is already expressed as a quotient of two integers. The decimal 9.26 can be expressed as a fraction because it is a terminating decimal; in fraction form, it is \( \frac{926}{100} \) which simplifies to \( \frac{463}{50} \) when reduced to lowest terms. The sum of two rational numbers is also rational (since both can be written as fractions, and the sum of two fractions is a fraction), so this number is indeed rational.
3. **45 + 36**: Both 45 and 36 are integers and the sum of two integers is also an integer. Integers are a subset of rational numbers, because they can be expressed as a fraction with a denominator of 1 (e.g., \( \frac{45}{1} + \frac{36}{1} \)). Thus, this number is rational.
4. **14.3 + 5.78765239**: The number 14.3 is a terminating decimal and can be represented as a fraction (\( \frac{143}{10} \)). However, 5.78765239 is given without any indication that it is a repeating or terminating decimal. If it is a non-repeating and non-terminating decimal, then it cannot be expressed as a fraction and would be considered irrational. Without further information, we cannot determine if this number is rational or not. Therefore, we can neither confirm nor deny that the sum is rational.
Given these considerations, the rational option from the given choices is **45 + 36**.

Answer:

a. 1/13

b. 1/78

c. 1/4

d. 1/12

e. 1/6

f. 1/4

Step-by-step explanation:

First, lets write some basic data

a. result is a queen

Each set has one queen; 1 of spade, 1 of clubs, 1 of heart, 1 of heart

There are total 4 queens

Total number of cards is 52

Probability = Number of favourable outcomes/total number of outcomes

Probability = 4/52

Probability = 1/13

b. result is a queen result is a face card

From my understanding, this question is result is a queen given that result is a face card.

Queen: 4 cards

Face card means King, Queen and Jack

Each set has one King, one Queen and one Jack

There are total 4 sets

Therefore, there are 4 Kings, 4 Queens and 4 Jacks

Face cards: 12-4 (because 4 queens have already been taken out) = 8

Total number of cards: 52-4 (because 4 queens have already been taken out) = 48

Probability (A|B) = P(A) * P(A|B)

P(A) = result is a queen = 4/52 = 1/13

P(A|B) = result is a face card = 8/48 = 1/6

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/13 * 1/6

Probability (A|B) = 1/78 or 0.01282

c. result is a heart

Out of the 52 cards, there are 26 red cards and out of the 26 red cards, there are 13 cards of heart

Heart = 13 cards

Total number of cards = 52 cards

Probability = Number of favourable outcomes/total number of outcomes

Probability = 13/52

Probability = 1/4

d. result is a heart | result is a red card

Result is a heart = P(A) = 13/52 = 1/4

Result is a red card=26/52 Total number of red cards is 26 but 13 cards (heart) are already taken out so 13 will be subtracted from the numerator and denominator

= 13/39 = 1/3

Result is a heart given that result is a red card P(A|B) = 1/3

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/4 * 1/3

Probability (A|B) = 1/12

e. result is a heart result is a black card

Result is a heart = P(A) = 13/52 = 1/4

Result is a black card=26/52 Total number of cards is 52 but 13 cards (heart) are already taken out so 13 will be subtracted from the denominator

= 26/39 = 2/3

Result is a heart given that result is a black card P(A|B) = 2/3

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/4 * 2/3 = 1/6

f. result is a heart result is not a diamond

Result is a heart = P(A) = 13/52 = 1/4

Result is not a diamond = there are 13 diamonds in a deck so cards that are not diamond are 52-13 = 39

Total cards = 52 - 13 (because hearts are already taken out) = 39

= 39/39 = 1

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/4 * 1 = 1/4

!!

The probabilities of the given result in each subpart for deck of 52 cards can be given as following:
a. 1/13

b. 1/3

c. 1/4

d. 1/2

e. 0

f. 1/3

Following are the basics points need to know to solve this question:

a. Probability that the result is a queen

There are 4 queens in a standard deck of 52 cards. So the probability:

[tex]P(Queen) = \frac{ Number \ of \ Queens }{Total \ Cards} = \frac{4}{52} = \frac{1}{13}[/tex]

b. Probability that the result is a queen given the result is a face card

There are 12 face cards in a deck (3 face cards each for 4 suits: Jack, Queen, King). So, conditional probability:

[tex]P(Queen | Face Card) = \frac{ Number \ of \ Queens }{Total \ Face \ Cards} = \frac{4}{12} = \frac{1}{3}[/tex]

c. Probability that the result is a heart

There are 13 hearts in a deck. So the probability:

[tex]P(Heart) = \frac{ Number \ of \ Hearts }{Total \ Cards} = \frac{13}{52} = \frac{1}{4}[/tex]

d. Probability that the result is a heart given the result is a red card

Red cards consist of hearts and diamonds. There are 26 red cards, and half of them are hearts. So, conditional probability:

[tex]P(Heart | Red \ Card) = \frac{ Number \ of \ Hearts }{Number \ of \ Red \ Hearts} = \frac{13}{26} = \frac{1}{2}[/tex]

e. Probability that the result is a heart given the result is a black card

Black cards consist of spades and clubs. There are no hearts in black cards. So:

[tex]P(Heart | Black \ Card) = 0[/tex]

f. Probability that the result is a heart given the result is not a diamond

If the card drawn is not a diamond, it must be either a heart, club, or spade. There are 39 such cards. So:

[tex]P(Heart |Not \ a \ Diamond) = \frac{ Number \ of \ Hearts }{Number \ of \ Non-Diamond \ Cards} = \frac{13}{39} = \frac{1}{3}[/tex]

Answer:

Brian has 12 apples. How many more apples does he need to have 30 apples in all?

Step-by-step explanation:

In this case "a" is the number of apples he needs to have 30 in all, and adding that to 12 results in the equation a + 12 = 30.

Hope this helps!

Answer:

She has 250 dollars left

Step-by-step explanation:

The first lawn she gained 25 dollars

+25

Then she gained 75 dollars

+25 +75=100

She mowed lawns for 5 weeks making the same amount 5 weeks at 100 dollars

5*100 = 500

She earned a total of 500 dollars

She spent 250 dollars

500-250 = 250

She has 250 dollars left

Answer:

2.106 liters

Step-by-step explanation:

24 * 84 mL = 2016 mL = 2.106 L

Answer: 84*24=2016

You multiply 84 by 24 to get 2016.

Answer:

2

Step-by-step explanation:

did it on edge

Option (B) Column 1 has entries honor roll, foreign language, total. Column 2 is labeled not on honor roll. Column 3 is labeled no foreign language. Column 4 is labeled total is the correct answer.

A table of values is a set of ordered pairs usually resulting from substituting numbers into an equation (relation). By using this variable within the equation or in the other function, the value of the other variable or the missing number in the equation can be found easily.

For the given situation,

The diagram shows the two-way table.

Mrs. Vanwhy made a two-way table to show which students made honor roll and which students study a foreign language.

From the data, the table that shows all the required data for Mrs. Vanwhy  to organize her data should consist of honor roll, foreign language, not on honor roll, no foreign language.

Hence we can conclude that option (B) Column 1 has entries honor roll, foreign language, total. Column 2 is labeled not on honor roll. Column 3 is labeled no foreign language. Column 4 is labeled total is the correct answer.

Learn more about table of values here

brainly.com/question/14695594

#SPJ2

Answer:

Sinx= 1(maximum value)

Step-by-step explanation:

Answer:

The maximum is 1

Step-by-step explanation:

-1<_sin(x)<_1

Range of sin(x)= [-1,1]

sin(x)= 1

Answer:

Flip a fair coin. It has a 50% chance of landing heads up and a 50% chance of landing tails up. Therefore, the person who will do the dishes will be chosen at random.

Answer:

B: Put each person's name on a separate piece of paper in a bag.  Randomly draw a name. The person whose name is chosen does the dishes.

D: Roll a number cube. If the number rolled is even, Alexa does the dishes. If the number is odd, Bart does the dishes.

Step-by-step explanation:

I got it right:)

Answer:

9

Step-by-step explanation:

Answer:

9 months

Step-by-step explanation:

There are 12 months in a year

Multiply 12 months by 3/4

12 *3/4

36/4

9

There are 9 months in 3/4 of a year

Answer:

2w -8

Step-by-step explanation:

-4(w+2)+6w

Distribute the -4

-4w -8 +6w

Combine like terms

-4w  +6w   -8

2w -8

Answer:

Step-by-step explanation:

-4w-8+6w=0

8+2w=0

2w= -8

w= -4

Answer:

You will use this formula x= -b +

[tex] x = - b + \sqrt{ { \: - 4ac}^{?} } [/tex]

Step-by-step explanation:

4n

[tex] {?}^{?} [/tex]

so you want to do n to the second power minus and minus 39 equals 0 so you using the quadratic formula

Answer:

C

Step-by-step explanation:

You are choosing 3 from a total of 12. Order does not matter. So you are working with combinations. The answer symbolically is

12C3

12C3 = 12!/(9!3!)

12C3 = 12 * 11 * 10 * 9!/(9! 3!)

12C3 = 12 * 11 * 10/6

12C3 = 2 * 11 * 10

12C3 = 220

========================================

We have 12 choices for the first selection, 11 for the second, and 10 for the third. There are 12*11*10 = 1320 permutations. If your teacher was asking about permutations, then you would be done at this point. However, your teacher is asking about combinations. With combinations, order does not matter.

For any group of 3 items, there are 3! = 3*2*1 = 6 ways to arrange this group. This means that we must divide 1320 over 6 to correct for the fact that we overcounted by a factor of 6

In this case,

number of combinations = (number of permutations)/6

number of combinations = 1320/6

number of combinations = 220

More generally, I'm using the connection that

nCr = (nPr)/(r!)

Answer:

Advance=15$

Same-day=20$

Step-by-step explanation:

Advance=15 Same-day=20

15*35=525

20*30=600

525+600=1125

Answer:

See attachment

Step-by-step explanation:

The first function is [tex]y=2x-5[/tex].

The slope is [tex]m=2[/tex] and the y-intercept is [tex]b=5[/tex].

The second equation is [tex]x+3y=27[/tex].

The slope intercept form is [tex]y=\frac{1}{3}x+9[/tex]

The slope is [tex]m=\frac{1}{3}[/tex] and y-intercept is [tex]b=9[/tex]

The graph of these two functions is shown in the attachment.

Answer:

34 cans. If you set it up as ratios (5/2.85 = x/19.38), make the number of cans you need to know "x" and solve for x.

Final answer:

To determine how many cans of baked beans can be bought for $19.38, divide $19.38 by the cost of each can, which is found by dividing the total cost of 5 cans by 5. The result is that you can buy 34 cans of baked beans for $19.38.

Explanation:

To find out how many cans of baked beans can be bought for $19.38, we need to determine the cost of each can. Given that 5 cans of baked beans cost $2.85, we can divide the total cost by the number of cans to find the cost of each can: $2.85 ÷ 5 = $0.57 per can.

Next, we divide the amount of money we have, $19.38, by the cost of each can to find the number of cans we can buy: $19.38 ÷ $0.57 = 34 cans.

So, for $19.38, we can buy 34 cans of baked beans.

Answer:

11: 136 people

12: 55 Cherries

Answer:

=x/4 - 2 (the third choice.

Step-by-step explanation:

Letting the number be x, the phrase two less than a number divided by four is expressed using the following steps:

We first take the the number x then divide by four then subtract 2.

The expression becomes:

(x/4) - 2

To solve an algebraic expression such as the one you described – "two less than a number divided by four" – you can follow these steps:
1. Start by identifying the variable, which is typically represented by "x." In this case, "a number" will be our variable "x."
2. The phrase "two less than" indicates a subtraction of two from a certain value. In algebraic terms, "two less than x" would be written as "x - 2."
3. Finally, the phrase "divided by four" tells us to take our result from step 2 and divide it by 4. So, we place the expression "(x - 2)" over 4, indicating division.
Putting it all together, the algebraic expression that represents the phrase "two less than a number divided by four" is:
(x - 2) / 4
To evaluate this expression for a particular value of x, you would substitute the value of x into the expression and then perform the calculation.
For example, if x is 10, you would evaluate the expression as:
(10 - 2) / 4
= 8 / 4
= 2
So, when x is 10, the value of the expression "two less than a number divided by four" is 2.