SOMEONE HELP URGENT PLS

I’ll give u brainliest and 20 points

SOMEONE HELP URGENT PLSIll Give U Brainliest And 20 Points

Answers

Answer 1

Answer:

Step-by-step explanation:

Bottom right is the correct graph.  Plot the line y ≤ 3x-4 and shade the area below the solid line.  Next plot y < -2x +3 and shade the area below the dashed line.  Where the 2 shaded areas intersect is the solution.  Bottom right graph show this.


Related Questions

The time taken to cook Wkg is given by the expression (48w + 23) minutes. Calculate the time it would take to cook 3kg of meat giving in hours and minutes​

Answers

Answer:   2 hours and 47 minutes

Work Shown:

48w+23

48*3+23

144+23

167

It takes 167 minutes to cook 3 kg of meat.

Convert this to hours+minutes format.

167 min = 120 min + 47 min

167 min = 120/60 hr + 47 min

167 min = 2 hr + 47 min

Mr. Rankin purchased a box of
copy paper for his office. The
box is 18 inches long, 12 inches
wide, and 10 inches tall. The box
is completely filled with
packages of tightly packed
paper. Each package measures
12 inches by 9 inches by 2
inches. How many packages are
in the box?

Answers

Answer:

10 packages

Step-by-step explanation:

When Mr. Rankin opens the box and looks straight down on it, he could see two packages. The 12x9 paper package can fit two, side by side in the 18X12 box.

Then there also can fit a stack 5 packages tall. Each bundle is 2 inches tall and the box is 10 inches tall.

Two stacks, 5 deep is 10 packages. see image.

What is the Lower Quartile for the following set of data:
1, 8, 1, -4, 12, -2, 15, 6

Answers

The lower quartile for the given data is -2, since it is the 25th percentile and is the value that lies at the 25th position when the data is sorted in ascending order.

1. Sort the data in ascending order: -4, -2, 1, 1, 6, 8, 12, 15

2. Calculate the 25th percentile: 25th percentile = (n + 1) * 0.25 = (8 + 1) * 0.25 = 2.25

3. The 25th percentile is between the 2nd and 3rd values, which are -2 and 1 respectively.

4. The lower quartile is -2.

The lower quartile (also known as the 25th percentile) is the value that lies at the 25th position when the data is sorted in ascending order. To find the lower quartile of the given set of data (1, 8, 1, -4, 12, -2, 15, 6), the data needs to be sorted in ascending order. This gives us the following data: -4, -2, 1, 1, 6, 8, 12, 15. Now, to calculate the 25th percentile, we use the formula (n + 1) * 0.25, where n is the number of data points. In this case, n = 8, so the 25th percentile = (8 + 1) * 0.25 = 2.25. This means the 25th percentile is between the 2nd and 3rd values, which are -2 and 1 respectively. Therefore, the lower quartile for the given data is -2.

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Rewrite the expression in terms of ln 5 and ln 6.

ln(27000)

Answers

We can rewrite ln(27000) in terms of ln(5) and ln(6) as ln(27000) = 3ln(5) + 3ln(6) by using logarithmic property.

Why are logarithm qualities significant?

Due of their connection to exponential functions, logarithmic functions are crucial. Logarithms can be used to examine exponential equations and the properties of exponential functions.

We can use the logarithmic property that says:

log_a(xⁿ) = n×log_a(x)

to break down 27000 into factors that involve 5 and 6.

First, we can write:

27000 = 5³× 6³

When we take the natural logarithm of both sides, we obtain:

ln(27000) = ln(5³ × 6³)

Using the property above, we can simplify this expression as:

ln(27000) = ln(5³) + ln(6³)

Using another logarithmic property that says:

log_a(bⁿ) = c×log_a(b)

we can further simplify the expression:

ln(27000) = 3ln(5) + 3ln(6)

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the perimeter of the shaded part of a square is 28 inches. find the area of the square

Answers

Answer:

Step-by-step explanation:

A square has 4 equal sides therefore to find the side of one we would divide the perimeter by 4. Doing that we get 7 inches.

Now seeing as it has four equal sides in order for us to find the area we would do:

Area = side x side = 7x7 = 49 squared inches

Which choice is the explicit formula for the following geometric sequence?
0.3,-0.06, 0.012, -0.0024, 0.00048, ...
A. an=0.3(0.2)"
B. an=-0.2(0.3)(n-1)
C. an= -0.3(-0.2)(n-1)
D. an= -0.3(0.2)(n-1)
E. an = 0.3(-0.2)(n-1)

Answers

The formula for given sequence is aₙ = 0.3(-0.2)ⁿ⁻¹ i.e. E.

What exactly is a sequence?

A sequence is a collection of numbers that follows pattern. Olivia, for example, has been offered a position with a beginning monthly pay of $1000 and a yearly raise of $500. Can you figure out her monthly pay for the first three years? The prices will be $1000, $1500, and $2000. Note that Olivia's income over a number of years creates a sequence as they follow a pattern where the numbers increase by $500 each time.

Now,

Given sequence is 0.3,-0.06, 0.012, -0.0024, 0.00048, ...

Of all given options only E satisfies the given sequence because

for E

a₁=0.3*-0.2¹⁻¹

=0.3*1

=0.3

a₂=0.3*-0.2²⁻¹

=-0.3*0.2

=-0.006

a₃=0.3*-0.2³⁻¹

=0.3*0.04

=0.012

hence,

          The formula for given sequence is aₙ = 0.3(-0.2)ⁿ⁻¹.

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Indicate the method you would use to prove the two 's . If no method applies, enter none.



HA
None
LA
LL
HL

Answers

Option A is correct. Use HL to prove two triangles are congruent.

Given:

In triangle ABC and triangle DEF as shown in figure below.

AB≅DE   [leg]                 [Given]

AC≅DF    [Hypotenuse side]      [Given]

∠B = ∠D = 90°

HL(Hypotenuse -Leg) postulates states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Then, by HL postulates;

ΔABC ≅ ΔDEF.

Therefore, the method you use to prove the two triangle congruent is, HL.

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Find the sum of (8a + 2b -4) and (3b-5)

Answers

The sum of expression is 8a + 5b - 9.

What is expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

(8a + 2b -4) and (3b-5)

Now, adding the above expression we get

(8a + 2b -4) + (3b-5)

= 8a + 2b - 4 + 3b - 5

= 8a + 2b + 3b -4 - 5

= 8a + b(2+ 3) - 9

= 8a + b(5) -9

= 8a + 5b - 9

Hence, the simplified expression is 8a + 5b - 9.

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Let f(x)=p(x)/q(x) where p(x) and p(x) are polynomials with no common factors other than 1. Describe how to find the x-intercepts and the vertical asymptotes of the function

Answers

To find the x-intercepts of a rational function of the form f(x) = p(x)/q(x), we set p(x) = 0 and solve for x. To find the vertical asymptotes, we set q(x) = 0 and solve for x.

Vertical asymptotes are vertical lines that a function approaches but never touches or crosses as the independent variable (usually denoted as x) approaches a certain value.

To find the x-intercepts of the function, we need to set the numerator of the rational function equal to zero and solve for x. This is because x-intercepts occur when the function value is equal to zero. Therefore, we can write:

p(x) = 0

Solving this equation will give us the values of x where the function intersects the x-axis. It is important to note that if p(x) has a degree greater than or equal to q(x), then the function will have a slant asymptote instead of a vertical asymptote.

To find the vertical asymptotes of the function, we need to look at the denominator of the rational function. Vertical asymptotes occur when the function approaches infinity or negative infinity as x approaches a certain value. In the case of a rational function, this happens when the denominator is equal to zero. Therefore, we can write:

q(x) = 0

Solving this equation will give us the values of x where the function has a vertical asymptote. It is important to note that if the degree of q(x) is greater than the degree of p(x), then the function will have a horizontal asymptote instead of a vertical asymptote.

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It takes Shawn 35 minutes by car to get to his grandma’s. The nearest parking area is a 4 minute walk from her apartment. One week, he realized that he spent 5 hours and 12 minutes traveling to her apartment and then back home. How many round trips did he make to visit his grandma?

Answers

Shawn made 4 round trips to visit his grandma.

How to calculate Travel Time?

The travel time is the amount of time it takes to travel from one location to another. The specific method for calculating travel time depends on the mode of transportation being used. Here are some general guidelines for calculating travel time:

Estimate the distance between the starting location and the destination.Determine the average speed or pace of travel. This will depend on the mode of transportation being used.Calculate the travel time by dividing the distance by the speed or pace. This will give you the estimated travel time in hours.

Let's start by converting the total travel time to minutes:

5 hours and 12 minutes = 5 × 60 + 12 = 312 minutes

Let's call the number of round trips that Shawn made "x".

For each round trip, Shawn has to travel to his grandma's apartment and then back home. The total time for each round trip is:

time per round trip = time to get there + time to get back + time to walk to/from parking

time per round trip = 35 + 35 + 4 + 4 = 78 minutes

So the total travel time for all of the round trips is:

total travel time = time per round trip x number of round trips

312 = 78x

Solving for "x", we get:

x = 312/78 = 4

Therefore, Shawn made 4 round trips to visit his grandma.

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i need help with this problem

Answers

Answer: Yes. for each input there is exactly

ONE output

Step-by-step explanation:

I did the test and it was true.

Which is the incorrect statement?

3x - 100
x + 50
#1: The value of x is 75.
#2: The angles are corresponding angles.
#3: The measure of both angles is 75°.
#4: We can use 3x - 100 = x + 50 to solve for x.

Answers

Answer:

3

Step-by-step explanation:

The measure of each angle is [tex]3(75)-100=125^{\circ}[/tex].

What ordered pairs are the solutions of the system of equations shown in the graph
below?

Answers

The solutions of the system of equations are (-1, 2) and (3, -5)

What ordered pairs are solutions of the system of equations?

Here we have a graph of a system of equations. The solutions are all the points where the graphs of the two equations intersect.

Here we can see two intersection points, thus, we have two solutions. We can see that the first intersection is at (-1, 2) and the second intersection is at (3, -5)

So these two are the solutions of the system of equations.

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Andy and dale solved 35 puzzles together. 1/3 of the puzzles that Andy solved are twice the number of puzzles Dave solved. How many puzzles did each boy solve?

Answers

Answer:

Andy: 30Dale: 5

Step-by-step explanation:

You want to find the number of puzzles solved by each boy if they solved 35 puzzles together, and 1/3 of the number Andy solved is twice the number Dale solved.

Equations

Let 'a' and 'd' represent the numbers of puzzles solved by Andy and Dale, respectively. Then ...

  a + d = 35

  1/3a = 2d

Solution

Multiplying the second equation by 3, we get an expression for 'a' that can be used in the first equation:

  a = 6d

  6d +d = 35

  d = 35/7 = 5

  a = 6(5) = 30

Andy solved 30 puzzles; Dale solved 5.

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Find y in equilateral AABC. (A) 90° (B) 70° (C) 60° (D) 45°

Answers

Variable y in equilateral 60°, Thus correct option is C) 60°.

What does an equilateral triangle mean?

An equilateral triangle is one with equal-sized sides on all three sides and angles that can all reach a maximum of 60 degrees. An equilateral triangle is a triangle with three equal sides, also referred to as a "regular" triangle. Since all three sides of an isosceles triangle are equal, an equilateral triangle is a special case of an isosceles triangle. Three equal angles of 60 degrees also make up an equilateral triangle.

The sum of all the angles in a triangle is 180.

It is given that the triangle ABC is an equilateral triangle.

So ∠A+∠B+∠C =180°

∠A=B=∠C

3∠A=180°

∠A=60°

Therefore y in ΔABC is C) 60°

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The population of the Switzerland in 2022 is about 26 million. The estimated population of Switzerland is given by the function P(t)=26(1.03)^t, where t represents the time in years since 2022.​

Answers

I’m sorry but what are you asking for exactly?

question 4
pls help me as soon as possible
i'm being timed i only have a hour

Answers

Answer:

∠ B = 121°

Step-by-step explanation:

ABCD is a cyclic quadrilateral

• opposite angles sum to 180°

∠ B and ∠ D are opposite angles , then

∠ B + 59° = 180° ( subtract 59° from both sides )

∠ B = 121°

If you drove at 50 mph in 5 hours, how far will you have traveled? NEED ASAP

a. 200 miles
b. 10 miles
c. 250 miles
d. 300 miles

Answers

Answer:

c

Step-by-step explanation:

C. 250 miles multiply 5 times 50

Find the missing side length using trig please!

Answers

Answer: 25 inches

Step-by-step explanation:

cos60 = adjacent over hypotenuse

cos60 = a/50

50cos60 = 25

What is the area of this compound figure?

Answers

Answer: 2707

Step-by-step explanation: just  multipli

Answer:

186m^2

Step-by-step explanation:

This compound figure will be divided to three rectangular.

1) 18x9=162

2) (18-12)x2=12

3) 2x6=12

so, total is 161+12+12=186^2

the state narcotics bureau must form a 5-member investigative team. if it has agents from which to choose, how many different possible teams can be formed?

Answers

the number of different possible teams that can be formed is equal to nCr, or n!/(r!(n-r)!).

Assuming that the state narcotics bureau has more than 5 agents from which to choose, the number of different possible teams that can be formed is equal to the number of combinations of 5 agents out of the total number of agents the bureau has. This can be calculated using the formula nCr (n choose r), where n is the total number of agents and r is the number of agents in each team, which in this case is 5.

Therefore, the number of different possible teams that can be formed is equal to nCr, or n!/(r!(n-r)!).

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If a1 ​ =7 and a n ​ =4a n−1 ​ then find the value of a 4 ​ .

Answers

The value of a₄ is 19.

What is arithmetic progression?

A progression or sequence of numbers known as an arithmetic sequence maintains a consistent difference between each succeeding term and its predecessor. The common difference in that mathematical progression is the constant difference.

Here, we have

Given: a₁ ​ =7 and aₙ ​ = aₙ₋₁ + 4

We have to find the value of a₄.

a₁ ​ =7

aₙ ​ = aₙ₋₁ + 4

aₙ ​- aₙ₋₁ = 4

The common difference is 4.

In order to solve, replace the value of the previous answer with the equation for the next answer.

a₁ = 7

a₂ = 7 + 4 = 11

a₃ = 11 + 4 = 15

a₄ = 15 + 4 = 19

Hence, the value of a₄ is 19.

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Jake will run at a constant rate of 8 minutes per mile. Ethan will longboard at rate of 5 minutes per mile for the first two miles then will slow down and longboard at a rate of 10 minutes per mile. Make two tables finding the times for each boys results for 1,2,3,4,5 and 6 miles

Answers

The time and distance of both the boys Jake and Ethan when they meet with each other is equal to 40 minutes after covering 5 miles.

Constant rate by which Jake run is equal to  8 minutes per mile.

Rate of Ethan longboard for first two miles = 5 minutes per mile

Rate of Ethan longboard for rest of the miles = 10 minutes per mile

Time taken by each of them is :

Miles       Time taken by Jake (minutes)       Time taken by Ethan(minutes)

1                    8 min                                                 5 min

2                   16 min                                                10 min

3                    24 min                                               20 min

4                    32 min                                               30 min

5                    40 min                                               40 min

6                     48 min                                               50 min

Therefore , time and distance at which Jake and Ethan  meet is equal to 40 minutes that is at 5 miles.

The above question is incomplete , the complete question is:

Jake will run at a constant rate of 8 minutes per mile. Ethan will longboard at rate of 5 minutes per mile for the first two miles then will slow down and longboard at a rate of 10 minutes per mile. Make two tables finding the times for each boys results for 1,2,3,4,5 and 6 miles.

Find out the time and distance at which both meet.

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(c) What is the shortest possible distance between the building and the end of the ramp if the architect redesigns the building so that the doorway is 1.3 feet above the parking lot?

Answers

The required shortest distance between the building and the end of the ramp, if the doorway is 1.3 feet above the parking lot, is 1.3 feet.

What is the slope?

The slope is defined as the ratio measure of rise to measure of the run.

Here,
The shortest possible distance between the building and the end of the ramp, if the doorway is 1.3 feet above the parking lot, is 1.3 feet.

This is because, if the doorway is 1.3 feet above the parking lot, the ramp will need to rise 1.3 feet in order for a person or vehicle to be able to enter the building. The length of the ramp will be equal to the rise, so in this case, the shortest possible distance between the building and the end of the ramp would be 1.3 feet.

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a special domino set contains all number pairs from double-0 to double-8, with each number pair occurring only once. for example, the following domino counts as 1-4 and 4-1. how many dominos are in the set?

Answers

There are 40 dominos in the set which contains all number pairs from double-0 to double-8.

The domino set contains all number pairs from double-0 to double-8, which means that there are nine possible values for each half of the domino and they are - 0, 1, 2, 3, 4, 5, 6, 7, and 8.

Since each number pair occurs only once, we can count the total number of dominos in the set by counting the number of distinct pairs of values that can be formed by combining the numbers on the two halves of the domino.

There are 9 possible values for the first half of the domino and 9 possible values for the second half, so there are 9 x 9 = 81 possible pairs of values.

However, we need to divide this by 2 to avoid counting each pair twice, since a domino with the values A-B is the same as a domino with the values B-A.

Therefore, the total number of distinct dominos in the set is 81/2 = 40.5, but since dominos cannot be counted in halves, the closest integer number of dominos is 40.

So there are 40 dominos in the set.

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image a,b,c,d,e

-
-
-
-
-
-
-
-

Answers

a. yes because they = 0

b. no, negative + negative = negative

c. yeah cause 3 >

d. no, its 0

e. no

how does one do this equasion 6234653928+294292342-424624642x16515615615165161x1156+6466456

Answers

The given Expression simplifies to -8.1069556e+27

What is BODMAS rule?

BODMAS stands for Bracket, Of, Division, Multiplication, Addition, and Subtraction. A mathematical expression's order of execution is explained using the BODMAS.

Given an equation to solve,

6234653928 + 294292342 - 424624642 x 16515615615165161 x 1156 + 6466456

Let us consider this Expression as A + B - C * D * E + F, with the corresponding terms being equal

By, the BODMAS rule,

First step: Multiply C, D, E. Let this be G

Now, the equation will look like this: A + B - G + F

Second step: We can add and subtract according to the signs now

On solving, the expression simplifies to -8.1069556e+27

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Terri wants to know the height of the big Christmas tree on the town square. She stands 20 feet from the base of the tree. Elliot places a mirror on the ground between Terri and the tree so that she can see the top of the tree in the mirror. The mirror is located 16 feet from the base of the tree. If Terri's eye level is 5.5 feet from the ground, how tall is the tree?

Answers

Answer:

22ft

Step-by-step explanation:

Always good to try and draw out the scenario, it can make it more easily understandable.

Have a look at the pic.

Hope its clear.

Brianna’s parents built a swimming pool in the backyard. Brianna days that the distance around the pool is 120 feet. Is she correct? Explain why or why not. 40ft 20ft

Answers

Brianna is correct, the distance around a rectangular pool with dimensions of 40 feet by 20 feet is 120 feet, which can be calculated by adding up the lengths of all four sides: (40 + 20 + 40 + 20) feet = 120 feet.

Brianna is correct, the distance around a rectangular pool with dimensions of 40 feet by 20 feet is indeed 120 feet. To calculate the distance around the pool, we need to add up the lengths of all four sides, which are equal in length. In this case, the length and width of the pool are both 40 feet and 20 feet, respectively. So, to find the distance around the pool, we add up these four lengths:

40 feet + 20 feet + 40 feet + 20 feet = 120 feet

Therefore, the total distance around the pool is 120 feet.

To determine the distance around the pool, Brianna needs to measure the length and width of the pool. If the pool is rectangular, she can measure the length and width and add up the lengths of all four sides to find the total distance around the pool. If the pool is a different shape, Brianna would need to measure the lengths of each side and add them up to find the total distance around the pool. This information can then be used to calculate the amount of stone needed for the edging around the pool. By knowing the total distance around the pool, Brianna's parents would have a good estimate of how much stone they need to buy for the edging, which is typically sold by the linear foot.

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The complete question is:

In the backyard, Brianna's parents constructed a swimming pool. The pool's circumference, according to Brianna, is 120 feet.

40 Ft

20 Ft

1. Is she correct? Explain why or why not. (You must mention the following in your explanation: If she is right, demonstrate the steps she took to determine the pool's circumference. Determine the right distance and demonstrate all effort if she is mistaken.)

2. So that her parents will know how many feet of stone to purchase for the pool's edging, describe (using words this time) how Brianna would calculate the distance around the pool.

The equation 7(2W + 3) = 14W + 20 has no solutions. Change one term in the original equation to create a new equation with infinitely MANY solutions.​

Answers

One term in the original equation that needs to be changed to create a new equation with infinitely many solutions is 20 to 21.

What is an equation?

An equation is a mathematical or algebraic statement that shows that two or more mathematical expressions are equal or equivalent.

Equations are depicted using the equal symbol (=), unlike mathematical expressions, which consist of variables, constants, numbers, and values.

7(2W + 3) = 14W + 20 does not have a solution because the first expression is unequal to the second expression and cannot be said to be an equation.

7(2W + 3) = 14W + 21 have many solutions for W.

Thus, changing 20 to 21 gives the original equation an indefinite number of solutions for W.

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In each of the lists below, select the item that doesnt belong. Then complete the sentence about what the remaining items have in common, using the correct form of the following adjectives from the list. Atencin! Make sure the adjectives ending matches the noun that it is describing.acadmico/aamarillo/aazulblanco/aelectrnico/afamoso/arojo/amodelo:Shakira, Mary Smith, Lady Gaga, Eva LongoriaSon mujeres famosas.La bandera espaola, la bandera guatemalteca, la bandera hondurera, la bandera nicaragenseSon banderas ____ y ____La bandera colombiana, la bandera mexicana, la bandera ecuatoriana, la bandera venezolanaSon banderas _____, ____, y ______. REAL ANSWERS ONLY!!!NO LINKS!!!! QuestionWhat is the relative minimum of the function?Enter your answer in the box.A coordinate plane with x axis increments of one increasing from negative 5 to 5 and y axis increments of one increasing from negative 5 to 5. The coordinate plane contains a parabola opening up with a vertex at begin ordered pair one comma negative five end ordered pair. The parabola crosses the y axis at begin ordered pair 0 comma negative 3 end ordered pair. how much did a ticket to the first super bowl cost? what are some of the ways modernity has affect kinship and family system which of the following statements is not true about guidelines for ethical practice in counseling and psychotherapy? most professional organizations provide broad guidelines.therapists ultimately have to discover their own guidelines for reasonable practice.practitioners are free to formulate any ethics they choose.ethical issues should be periodically reexamined throughout your professional life. 17.1What is the solution to the equation --+?X=-5X=-4X-5Save and Exit A scientist studies the effect of adding different amounts of salt on the boiling point of water. He places his results in thegraph below.What are the independent and dependent variables in this experiment?Mass is the independent variable, and boiling point is the dependent variable Bowling point is the independent variable, and mass is the dependent variable There are two independent variables and no dependent variables There are two dependent variables and no independent variables A proposed mechanism for a reaction is:C4H9BrWrite the rate law expected for this mechanism. What is the overall balanced equation for the reaction? What are the intermediates in the proposed mechanism? Discuss the evolution of human beings from their origin to the development of civilizations. Que son los vectores? What do the words cataract anddiagnosis have in common? the law is the instrument that enables the wealthy to maintain their position of power and to control the behavior of those who oppose their ideas. which view of crime would agree with this statement? Suppliers will be willing to supply a product only if a. the price received is less than the additional cost of producing the product. b.the price is higher than the average cost of producing the product. c.the price received is at least double the additional cost of producing the product. d. the price received is at least equal to the additional cost of producing the product. Celine's Cupcakes recorded how many cupcakes it recently sold in each flavor. carrot cupcakes 8 pumpkin cupcakes 1 lemon cupcakes 6 Considering this data, how many of the next 20 cupcakes sold would you expect to be lemon cupcakes? If the sum of two angles is 90 then angles are called ___angles In a well-written essay, analyze how Faulkner uses literary elements and techniques to convey the narrator's and other community members complex relationship with Emily. Can someone show meh plsThe tape diagram represents an equation.Write an equation to represent the imagew 1.3 2.7 differential gene expression is the result of different cells having different . select one: a. regulatory sequences b. genes c. regulatory proteins Regular pentagons ABCDE and PQRST are congruent to each other. What is the perimeter of pentagon PQRST? The height of a supply curve at a quantity of 100 represents the ?