On this number line, zero represents sea level. Plot the following points based on the description provided by dragging and dropping the dots to the appropriate locations on the number line.
1.5 above sea level
absolute value of −4.5 −2 opposite of 4 absolute value of 1 2.5 below sea level greatest common factor of 8 and 12 −(−3) −3.5 Opposite of −5



I will give you brainleist and 50 plus points

Answer:

31

Step-by-step explanation:

I would use my fingers mostly.

But, I just do it normally. I pretend I'm using a sheet of paper then I write on it for the equation.

903.6 divided by 29.1

Then I estimate it because I know that 29.1 can go into 903.6 about 31 times. Then I multiply 31 and 29.1 and i get around 903.6.

I hope this helps. I'm sorry if you get this wrong.

Answer:

30

Step-by-step explanation:

Round 903.6 to 900 and 29.1 to 30

So 900/30

= 30

This would be my estimated answer

Also 30^2

= 900

If she follows the path shown by the dotted line in the graph, the distance from her house to the store would be = 128m. That is option B.

To calculate the distance between her house and the store the Pythagorean formula should be used which is given as follows;

C² = a² + b²

where;

a= 80

b= 100

c= ?

That is;

c²= 80²+100²

= 6400+10000

= 16,400

c = √16400

= 128.1m

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Answer:

Step-by-step explanation:

If two parallel lines are cut by a transversal and form a pair of alternate exterior angles, then the sum of the two exterior angles will be equal to 180° as shown;

If one angle measures (6x+5) and other measures (7x+4), then;

(6x+5)+(7x+4) = 180° (sum of two exterior angles)

Firstly, lets get the value of x from the equation.

6x+7x+9 = 180°

13x= 180-9

13x = 171

x = 171/13

x = 13.15°

The first angle 6x+5 will measure 6(13.15)+5 = 83.9°

The other angle 7x+4 will mesure 7(13.15)+4 = 96.1°

Answer:

Since the lines are parallel, the alternate exterior angles are congruent. Therefore you can set the expressions equal to each other and solve for x. Then you can substitute the value of x back into either expression to find the angle measure.

Step-by-step explanation: exact answer

AB is a straight line ⇒ m(∡BXA) = 180°

m(∡BXA) = m(∡BXY) + m(∡YXA) ⇔

⇔ 180° = 60° + m(∡YXA) ⇔

⇔ 60° + m(∡YXA) = 180° ⇔

⇔ m(∡YXA) = 180° - 60° ⇒ m(∡YXA) = 120°

∆XYZ is an isosceles triangle and has an angle of 90° ⇒ m(∡ZXY) = m(∡XYZ) = 45°, because a triangle has 180°

m = m(∡AXZ) ⇒ m(∡AXZ) = ?

m(∡BXA) = m(∡BXY) + m(∡YXZ) + m(∡AXZ) ⇔

⇔ 180° = 60° + 45° + m(∡AXZ) ⇔

⇔ 105° + m(∡AXZ) = 180° ⇔

⇔ m(∡AXZ) = 180° - 105° ⇒ m(∡AXZ) = 75° ⇔

⇔ m = 75°

Good luck! :)

Answer:

-8u+2u+12u-19u-2u=15

-6u+12u-19u-2u=15

6u-19u-2u=15

-13u-2u=15

-15u^2=15

-15u^2÷ 15=15÷15

-u=1

u=-1

that's answer is u=-1

The solution of the algebraic equation is (2, 1)

From the question, we have the following parameters that can be used in our computation:

x + y = 3

x - 2y = 0

In the above equations we can see that

Both equations have different slopes and they are linear equations

This means that they would intersect at a point

From the graph, we have the intersectoon point to be (2, 1)

Hence, the solution is (2, 1)

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Answer:

38.4º

Step-by-step explanation:

Use Law of Cosines

c² = a² + b² - 2ab*cosC

12² = 17² + 19² - 2(17)(19)*CosC

Simplify

144 = 289 + 361 - 646 * cosC

144 = 650 - 646 * cosC

Subtract 650 from both sides

-506= -646 * cosC

Divide both sides by -646

0.7832817337 = cosC

Take the arcsin of 0.7832817337

38.4º = C

---------------------------------

Cheaters Solution!!!

Instead of doing the math you could think it through.

Since FD is less than 17

∠E must be less than 45º

So the answer must be A. 38.4º

A beneficial feature of a nature preserve is that it d. have areas that allow organisms to move between preserves. A nature preserve is a protected area that is dedicated to the conservation of natural resources such as plants, animals, and their habitats.

It plays a crucial role in maintaining biodiversity and ecological balance. The size or shape of a nature preserve is not the only determining factor of its effectiveness.
Large preserves may protect more species and allow for larger populations to thrive, but small preserves can still be effective in protecting rare or threatened species. Linear and circular preserves can be beneficial in different ways depending on the specific goals of conservation.
However, the most important aspect of a nature preserve is the ability for organisms to move between them. This allows for genetic diversity, prevents inbreeding, and helps populations adapt to changing environmental conditions. This movement can occur through corridors or connections between preserves, which can be natural or man-made.
In summary, while size and shape can have some impact on the effectiveness of a nature preserve, the ability for organisms to move between them is the most beneficial feature.

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Answer:

Given, m = 3 and n = 4

5×3 + 4×4 – 3

15 + 16 - 3

31 - 3

28

don't forget to like and mark me

The solution to the given initial value problem using Laplace transforms is x(t) = -1/2e^t + e^(3t)/2 and y(t) = e^(3t)/2 - e^t/2.

To solve the initial value problem using Laplace transforms, we first take the Laplace transform of both sides of the given equations.

For the first equation:

L[x'(t)] = L[x(t) - y(t)]

Using the property of the Laplace transform for derivatives, we have:

sX(s) - x(0) = X(s) - Y(s)

Substituting the initial condition x(0) = -3/2, we get:

sX(s) + 3/2 = X(s) - Y(s) ----(1)

For the second equation:

L[y'(t)] = L[2x(t) + 4y(t)]

Using the property of the Laplace transform for derivatives, we have:

sY(s) - y(0) = 2X(s) + 4Y(s)

Substituting the initial condition y(0) = 0, we get:

sY(s) = 2X(s) + 4Y(s) ----(2)

Now, we solve equations (1) and (2) simultaneously to find X(s) and Y(s).

From equation (1), we can rearrange to get X(s) in terms of Y(s):

X(s) = (s + 3/2 + Y(s))/s ----(3)

Substituting equation (3) into equation (2), we have:

sY(s) = 2((s + 3/2 + Y(s))/s) + 4Y(s)

Simplifying and rearranging the equation, we get:

Y(s) = (2s + 3)/(s^2 + 2s + 4)

sing partial fraction decomposition, we can write Y(s) as:

Y(s) = (1/2)(1/(s + 1) + 1/(s^2 + 2s + 4))

Applying the inverse Laplace transform to Y(s), we obtain the solution for y(t):

y(t) = (1/2)(e^(-t) + e^(-t/2)sin((sqrt(7)/2)t))

Substituting this solution for y(t) into equation (3), we can find X(s):

X(s) = (s + 3/2 + (1/2)(e^(-t) + e^(-t/2)sin((sqrt(7)/2)t)))/s

Applying the inverse Laplace transform to X(s), we obtain the solution for x(t):

x(t) = -1/2e^t + e^(3t)/2

Therefore, the solution to the given initial value problem using Laplace transforms is x(t) = -1/2e^t + e^(3t)/2 and y(t) = e^(3t)/2 - e^t/2.

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Question 3:

(a) Probability of event B, P(B) = 0.25.

(b) Events A and B are not independent since P(A)P(B) ≠ P(AB).

(c) P(A ∩ B') = 0.28.

Question 4:

(a) P(AB) = 0.2

(b) Events A and B are not independent since P(A)P(B) ≠ P(AB).

(Question 3) Given the probabilities are:

P(A | B) = 0.6

P(B | A) = 0.35

P(AB) = 0.15

We know that, from the conditional probabilities formulae,

P(A | B) = 0.6

P(AB)/P(B) = 0.6

0.15/P(B) = 0.6

P(B) = 0.15/0.6 = 0.25

Again, P(B | A) = 0.35

P(AB)/P(A) = 0.35

0.15/P(A) = 0.35

P(A) = 0.15/0.35 = 0.43 [Rounding off to nearest hundredth]

P(A)P(B) = 0.43 * 0.25 = 0.11 is not equal to P(AB) = 0.15.

Hence A and B are not independent.

P(A ∩ B') = P(A) - P(AB) = 0.43 - 0.15 = 0.28.

(Question 4) Given the probabilities we get,

P(A) = 0.55, P(B) = 0.25 and P(AUB) =0.6

we know that,

P(AUB) = P(A) + P(B) - P(AB)

P(AB) =  P(A) + P(B) - P(AUB)

P(AB) = 0.55 + 0.25 - 0.6 = 0.2

P(A) P(B) = 0.55 * 0.25 = 0.1375 is not equal to P(AB) = 0.2.

Hence the events A and B are not independent.

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Answer:

i believe its d

Step-by-step explanation:

Answer:

g = 1

Step-by-step explanation:

1 - g = 6 - 6g

Combine like terms

1-6 = -6g+g

-5 = -5g

g = 1

1) Note that the condition that proves that a quadrilateral is a parallelogram are:

2) The statements from the above list that are specific to a Rhombus are:

3) The figures below that are parallograms are:

Option A

Option B; and

Option D.

A parallelogram is a type of quadrilateral with some special properties. Here are all the qualities of a parallelogram:

Opposite sides are congruent: This means that the two pairs of opposite sides have the same length.

Opposite sides are parallel: This means that the two pairs of opposite sides are always parallel to each other.

Opposite angles are congruent: This means that the two pairs of opposite angles have the same measure.

Consecutive angles are supplementary: This means that any two angles that are adjacent or consecutive to each other add up to 180 degrees.

Diagonals bisect each other: This means that the two diagonals of a parallelogram intersect at their midpoint, and each diagonal divides the parallelogram into two congruent triangles.

Diagonals are not congruent: This means that the two diagonals of a parallelogram have different lengths.

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Answer:

AC=3x+11

Step-by-step explanation:

ok so AC is Both AB AND BC combined

2x-2+x+13=AC

3x+11=AC

AC=3x+11

Answer:

(2x-2) + (x+13)=6x+2 (take the lengths of AB and BC added together, and put equal to the value of AC)

3x+11 =6x+2 (drop the parenthesis and combine like terms on the left side)

-3x +11 =2 (subtract 6x from both sides and then subtract 11 from both sides)

-3x = -9 (divide both sides by -3 to find what x is)

x=3 (take the x value and plug it into the expression to find the length of AC)

6(3)+2 (multiply)

18+2 (add)

20 (this is the length of AC, and what you put in the box)

Step-by-step explanation:

i hope this helps :)

Answer: f(x) and g(x) both represent y of the equations

Step-by-step explanation: f(x) and  g(x) both represent the y of the equation for example f(x)=mx+b or g(x)+mx+b both would be to find y of that specific equation and that would also make them inverses because you could use the table to label the inverses on a graph.

Answer:

Step-by-step explanation:

5)

Oh these are tricky ways to see the question in different ways, it's okay that you need help on this b/c it's kinda like a mind puzzle.

so first notice that EG is the total length

87 =  something

next notice that we have two parts   FG and EF

if those are added together we get the total or EG

so add the parts and set the equal to the total

87 = EF + FG

87 = 4x + 11  + 28

now we can solve for x,  recall  solving me  "isolate x"   :P  soo

87-28-11 = 4x

48 = 4x

12 = x  

yay

6)

EG = EF + FG

15 = 3x - 17 + 2x-8

15+17+8 =3x +2x

40 =5x

8 = x

yay

so do you see how to do those now?  :?

Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)

Answer:

I DONT KNOW SORRY BRO

Step-by-step explanation:

Answer:

2000

Step-by-step explanation:

The number in the next place, the hundreds place, is 4, which is less than 5. Therefore, you round down, to 2000.

I would appreciate Brainliest, have an amazing day!

Answer:

2478 is rounded to 2000

Step-by-step explanation:

2478 is less then 2500,meaning that it rounds down.

The solutions of the inequality \(2x^{2} + x - 6 = 0\) are 3/2, -2. This can be found by using the Quadratic Formula, which states that for any quadratic equation of the form \(ax^{2} +bx + c = 0\), the solutions are \(x = -b +/-\sqrt{b^{2} -4ac} /2a\).

Discriminant: b² - 4 a c = 1 - 4(2)(-6) = 1 + 48 = 49

Solution 1: x = \(-b + \sqrt{b^{2} -4ac} /2a\) = (-1 + √49)/(2×2) = (-1 +7)/4 = 6/4 = 3/2

Solution 2: x = \(-b-\sqrt{b^{2} -4ac} /2a\)= (-1 - √49)/(2×2) = -8/4 = -2

So, the two solutions are 3/2 and -2.

The equation can also be written as,

\(2x^{2} +4x -3x-6=0\)

\(2x(x+2) -3(x+2) = 0\)

\((2x-3)(x+2) = 0\)

x = 3/2, -2

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Answer:

5/33

Step-by-step explanation:

five apples and seven peaches = 12 total

P( apple) = number of apples / total

               = 5/12

No replacement since you ate it

four apples and seven peaches = 11 total

P( peach) = number of peach / total

               = 4/11

P(apple, no replacement, peach) = 5/12 * 4/11 = 5/33

If the owner's beliefs are correct,  the probability of being awarded the second job (Event B) is 0.5 . Event A and Event B are not mutually exclusive and are independent and must be true for event A and event B.

Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Additionally, the proportion of positive outcomes cannot be negative. In the sections that follow, let's go into greater detail on the fundamentals of probability.

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Answer:

4%

Step-by-step explanation:

Since percentages are counted with % (100), we multiply 50 by 2 to get 100. We also 48 by 2 to get 96. Then we subtract 96 from 100 to get 4%.

48 increases by 4% o get 50.

Answer:

4 percent

Step-by-step explanation:

hhhhh

The equivalent expression with combined like terms is -5.5t + 6.3.

What is Equivalent expression?

Equivalent equations are algebraic equations with the same roots or solutions. We get an analogous equation by adding or subtracting the same number or expression from both sides of an equation. We can also get an equivalent equation by multiplying or dividing both sides of an equation by the same non-zero value.

To combine like terms, we can group the terms with the variable t together, and group the constant terms together:

(-3.6t) + (-1.9t) + (1.2 + 5.1)

We can simplify the constant terms:

(-3.6t) + (-1.9t) + 6.3

Finally, we can combine the terms with the same variable by adding their coefficients:

-5.5t + 6.3

Therefore, the equivalent expression with combined like terms is -5.5t + 6.3.

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The student can combine like terms in the given expression by adding and subtracting the corresponding pairs. This gives the equivalent expression as 3.2t - 2.4.

To combine like terms in the equation -3.6 - 1.9t + 1.2 + 5.1t, you need to group together the like terms. The two like terms we have are the terms with the variable t, -1.9t and +5.1t, and the two constant terms -3.6 and +1.2 without the variable t.

When you add and subtract these pairs accordingly, you get:
-1.9t + 5.1t = 3.2t
-3.6 + 1.2 = -2.4

So, the equivalent expression that combines these like terms is: 3.2t - 2.4.

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The inequality that describes the problem is x < 180 × 4, which means that the total amount of money Mr. Dawson wants to spend on groceries in April should be less than $180 multiplied by 4, or $720.

Mr. Dawson is making a grocery budget for the month of April. He plans to split the budget equally among 4 shopping trips and wants to stay under budget. To figure out the maximum amount of money he should spend on groceries in April, he needs to calculate the total amount of money he should spend for all 4 shopping trips. To do this, he multiplies the maximum amount of money he should spend per trip, $180, by the number of trips, 4. This gives us $180 × 4 = $720. Therefore, Mr. Dawson should spend less than $720 on groceries in April. The inequality that describes the problem is x < 180 × 4, which means that the total amount of money Mr. Dawson wants to spend on groceries in April should be less than $720. This inequality ensures that Mr. Dawson will stay under budget and be able to complete his 4 shopping trips for the month of April.

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yes jxjfnsuspfjidheagdkhrsojieeidhj

In this instance, the buoy forms the right corner of a triangle made up of the two ships and the buoy. To the closest tenth, the distance between the two ships is roughly  \(24.1\) km.

To find the distance between the two ships, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs

(the sides that form the right angle) is equal to the square of the length of the hypotenuse (the side opposite the right angle).

In this case, the two ships and the buoy form a right triangle, with the buoy at the right angle.

Let d be the distance between the two ships, x be the distance of the northern ship to the buoy and y be the distance of the eastern ship to the buoy. Then we have:

\(d^2 = x^2 + y^2\)

Substituting the given values, we get:

\(d^2 = (20 km)^2 + (13.5 km)^2\)

\(d^2 = 400 km^2 + 182.25 km^2\)

\(d^2 = 582.25 km^2\)

\(d ≈ 24.1 km\)

Therefore, the distance between the two ships is approximately 24.1 km, rounded to the nearest tenth.

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