To the citizens of the country of Merka, there is no meal
better than a hot dog nestled securely in a hot dog bun. Relish is optional, mustard is not. The hypothetical market for hot dogs in Merka is graphed. Suppose that the price of hot dog buns decreases. Illustrate the impact of this change on the
market by manipulating the appropriate curve or curves.

The equilibrium price it hot dogs:
a) decreases
b) increases
c) remains the same

The equilibrium quantity of hot dogs:
a) increases
b) decreases
c) remains the same

The supply curve shifts:
a) left
b) right

The demand curve shifts:
a) left
b) right

To The Citizens Of The Country Of Merka, There Is No Mealbetter Than A Hot Dog Nestled Securely In A

Answers

Answer 1

The equilibrium price of hot dogs A. increases.

The equilibrium quantity of hot dogs A. increases

The supply curve shifts right

The demand curve shifts right.

How to illustrate the information?

It should be noted that the equilibrium price is the pice at which the quantity demanded and supplied is equal

In this case, the equilibrium price of hot dogs increases and the equilibrium quantity of hot dogs increases.

This will cause a positive affect on the supply and demand curve and they will shift I the right.

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Related Questions

Miguel made up an equation for his friend to solve. He told his friend that three times the square of a number is 265", What is the number to the nearest tenth

Answers

The number after rounding off to the nearest tenth will be 9.4

In this question, we have been given that Miguel made up an equation in which three times of square of a particular number equals 265. We have to set up the equation according to this.

Taking the number as 'x'. We get the equation according to the condition :

               => 3x² = 265

By solving this equation we get :

               =>  3x² = 265    =>  x² = 88.3

               => x = 9.39

We get x = 9.39. By rounding off x to the nearest tens, we get x = 9.4

Hence, the number to the nearest tenth will be 9.4

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order from greatest to least .7 .07 .072 7.2 7 .27

Answers

Order from greatest to least

0.7

0.07

0.072

7.2

7

0.27

Answer:

(largest) 7.2 , 7 , 0.7 , 0.27 , 0.072 , 0.07 (smallest)

b) Find the values of y.
y² = 169
I wrote that it equals to 13 but it’s not right. Please help!!

Answers

I think -13 because - by - is -+

help 32. (a) and (b)

Answers

Answer:

Below

Step-by-step explanation:

a) He answered 9 questions, lets say that he answered all 9 correctly

= 9x5 = 45 points (highest)

b) He answered 9 questions, lets say that he answered them all wrongly

0-(5x9)

0-45

-45

Find the measure of LBOD

m LBOD=

Classify LBOD

Answers

The measure of angle BOD is 65°

Calculating measure of angles

From the question, we are to determine the measure of angle BOD (m ∠ BOD)

The measure of angle BOD can be determine from the given protractor.

To determine the measure of angle BOD, we will read from line BO, in the counterclockwise direction, to line DO.

Reading in the counterclockwise direction, line BO is on 0°, and line DO is on midpoint of 60° and 70°.

The midpoint of 60° and 70° is 65°

Hence, the measure of angle BOD is 65°.

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A square field has an area of 22,500 square feet. To the nearest foot, what is the diagonal across the field?

Answers

The length of the diagonal across the field is 212.132 feet.

What is a square?

A rectangle whose all sides are equal is called a square.

A square is always a rectangle, parallelogram, and a quadrilateral but its reverse statement may or may not be true.(ie it is not always necessary that a rectangle is a square or a parallelogram is a square).

Given that a square field has an area of 22,500 square feet. Now, the length of the side of the square field can be written as,

Area of the square field = (Length of square field)²

22,500 square feet = (Length of square field)²

Length of square field = √(22,500 sq. feet)

Length of square field = 150 feet

Now, the length of the diagonal of the field can be written as,

(Length of the diagonal)² = 2(Length of the side of square field)²

(Length of the diagonal)² = 2(150²)

(Length of the diagonal)² = 45,000 sq. feet

(Length of the diagonal) = 212.132 feet

Hence, the length of the diagonal across the field is 212.132 feet.

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Aliza needs to run at a rate faster than 8.2 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below:

He concludes that she is not running fast enough to exceed her fastest time.

Answers

Coach's errors are;

Wrong conversion when converting hour to seconds

There is wrong conclusion since Eliza was running fast enough at a speed of 34ft/s compared to 8.8ft/s

The speed required by eliza is 8.8 ft/s

Converting 5.8miles to feet per second

Taking the coach conversion

This shows that 5.8mi/hr is equivalent to 34.0ft/s in accordance with coach conversion rate.

The coach made the first error by taking 60s as 1hr instead of 3600s as 1hr

The mistake that Eliza is not running fast enough to exceed her fastest time. Eliza is running at pace as her speed at 34ft/s exceed 8.8ft/s.

Hence the second error was the wrong conclusion made by the coach.

The average rate is a measure of how much the function changed per unit, on average, over that interval. It is founded from the slope of the line connecting the interval's endpoints on the function's graph.

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consider the line y=-7x-1 what is the slope of a line perpendicular to this one

Answers

Answer:

1/7

Step-by-step explanation:

y = -7x - 1 so slope is -7

The slopes of two perpendicular lines are negative reciprocals of each other

so negative reciprocal of -7 is 1/7

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y = \stackrel{\stackrel{m}{\downarrow }}{-7}x-1\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

thus a line perpendicular to that slope will have a slope of

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-7}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-7}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-7}\implies {\LARGE \begin{array}{llll} \cfrac{1}{7} \end{array}}}}[/tex]

Arnie decides to make 3 cups of dark orange paint and 3 cups of light orange paint. How many ounces of yellow paint does he​ need?

Answers

Answer:

6.0 ounces

Step-by-step explanation:

An investigator wants to test for the presence of simple sugars in a sample. She adds reagent to her sample and also to a sample of distilled water. What reagent should she have added?.

Answers

The investigator can test the presence of simple sugars in the sample by using Benedict's solution.

What is Benedict's test ?

Simple carbs are tested for using Benedict's Test. With free ketone or aldehyde functional groups, reducing sugars (monosaccharides and some disaccharides) are recognized by the Benedict's test.

What is Benedict's solution?

Benedict's solution turns orange or brick red when heated in the presence of simple carbohydrates. The reducing characteristic of simple carbs is what triggers this response. The Benedict's solution changes color as a result of the reduction of copper (II) ions to copper (I) ions.

The produced red copper(I) oxide precipitates out of solution because it cannot be dissolved in water. This explains how the precipitate was created. The closer the final hue is approaching brick-red and the more precipitate is generated as the reducing sugar concentration rises. Copper oxide, a brick-red solid, can occasionally precipitate out of a solution and gather at the test tube's bottom.

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Please answer the 2 question in photo [ Brainliest + points ]

Answers

Answer:

3.) Obtuse  &. 4.) Acute. ????

Step-by-step explanation:

Answer:

3. obtuse

4. acute

Step-by-step explanation:

Hope this helps

2. The sum of the interior angles in a quadrilateral is 360°. Determine the value of x in
the diagram on the right.

Answers

Answer:

267/5 ( or ) 53.2

Step-by-step explanation:

Note : -

□ means 90°

2x - 42 + 3x + 45 + 90 = 360

2x + 3x + 45 - 42 + 90 = 360

5x + 3 + 90 = 360

5x + 93 = 360

5x = 360 - 93

5x = 267

x = 267/5 ( in fraction )

    ( or )

x = 53.2° ( in decimal )

-2w+w+7w−2w+w+7w i need help please i dont know what to do 8th grade basic integers thanks.?

Answers

The expression is simplified to 6w

What are algebraic expressions?

Algebraic expressions are expressions made up of terms, variables, factors, coefficients and constants.

They also consist of arithmetic operations such as addition, subtraction, multiplication, division, etc

Given the expression;

-2w+w+7w

Using the BODMAS rule, we have to add

-2w + 8w

6w

Thus, the expression is simplified to 6w

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1.2.PS-12
Determine whether the given number belongs to each set.
Integers
72
72
Whole
Numbers
?
Vyriole
Numbers
Yes
?
integers
Yes
Rational
Numbers
?
Katorial
Numbers
No
Click to select your answer(s) and then click Check Answer.
All parts showing
Clear All

Answers

Answer: Yes it is rational number because it has a terminating decimal expansion

Step-by-step explanation:

Define Rational number:

rational number, in arithmetic, a number that can be represented as the quotient p/q of two integers such that q ≠ 0. In addition to all the fractions, the set of rational numbers includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.

Yes it is rational number because it has a terminating decimal expansion.

7/2=3.5

Define Integer:

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14.

all integers between -7 and 2 in increasing order are:

-6,-5,-4,-3,-2,-1,0 and 1.

since, it has to be in increasing order -6 will come first and 1 at the last.

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Can someone please help mee (20 points + brainliest!!!)

Answers

34~ under 35() 6 kilograms

Answer:

a. Price needs to decrease by 6 Bozats.

[tex]\sf b. \ \ \sf x =-\dfrac{1}{6} p+\dfrac{100}{3}[/tex]

Explanation:

Equation: p = 200 - 6x

where:

p = price per kilogramx = number of kilogram of snig sold

a.

To sell an additional kilogram of snig that is (x + 1) kilogram of snig.

current price = 200 - 6(x + 1) = 200 - 6x - 6

b.

[tex]\rightarrow p = 200 - 6x[/tex]

[tex]\rightarrow - 6x = p-200[/tex]

[tex]\rightarrow x =\dfrac{ p-200 }{-6}[/tex]

[tex]\rightarrow x =-\dfrac{1}{6} p+\dfrac{100}{3}[/tex]

Consider the system of equations 2x + 5y = 5 and -3x + 7y = 7. What number would you multiply to eliminate the y?

Answers

Answer:

(0, 1 )

Step-by-step explanation:

2x + 5y = 5 → (1)

- 3x + 7y = 7 → (2)

to eliminate y multiply (1) by 7 and (2) by - 5 , then add the result

14x + 35y = 35 → (3)

15x - 35y = - 35 → (4)

add (3) and (4) term by term to eliminate y

29x + 0 = 0

29x = 0 ⇒ x = 0

substitute x = 0 into (1) and solve for y

2(0) + 5y = 5y

0 + 5y = 5

5y = 5 ( divide both sides by 5 )

y = 1

solution is (0, 1 )

which expression shows the prime factorization of 40? 2 × 2 × 5 2 × 2 × 5 2 × 2 × 2 × 5 2 × 2 × 2 × 5 2 × 5 × 5 2 × 5 × 5 2 × 5 × 5 × 5

Answers

The expression 2×2×2×5 shows the prime factorization of 40.

Prime factorization:

The number 40 is equal to

2 x 2 x 2 x 5, or   = 40

23 x 5. = 40

What does prime factorization serve as?

In mental arithmetic, fractions, finding square roots, and computing the HCF and LCM of two smaller numbers, prime factorization is a highly helpful tool when working with whole numbers. A whole number higher than 1 whose only elements are 1 and itself is referred to as a prime number. A whole number that may be split evenly into another number is referred to as a factor.

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Answer:

2 × 2 × 2 × 5

Step-by-step explanation:

2 × 2 × 2 × 5 = 4 × 2 × 5 = 8 × 5 = 40

Which of these is a non-real complex number?

Answers

There aren’t any numbers

(14) Given L lI M || N, find the value of x.

Answers

Based on the corresponding angles theorem, the value of x is: 64°.

What is the Corresponding Angles Theorem?

When two angles that are formed by a transversal and two parallel lines lie in relative position to each other on each of the parallel lines, they are called corresponding angles. According to the corresponding angles theorem, both angles are congruent to each other.

Angle x and 64 degrees are corresponding angles. They are therefore congruent to each other.

Thus, x = 64° [corresponding angles theorem]

In summary, based on the corresponding angles theorem, the value of x is: 64°.

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Write the specified quantity as a function of the specified variable. It will help in each case to draw a picture. The height of a right circular cylinder equals its diameter. Write the volume of the cylinder as a function of its radius.

Answers

The volume of the cylinder as a function of its radius is V = 2πr^3

How to write the volume of the cylinder as a function of its radius?

The given parameters are

Diameter = Height

This can be represented as

d = h

The radius of a cylinder is calculated as

r = d/2

This means that

d = 2r

Substitute d = 2r in d = h

h = 2r

The volume of a cylinder is

V = πr^2h

Substitute h = 2r in V = πr^2h

V = πr^2(2r)

Evaluate

V = 2πr^3

Hence, the volume of the cylinder as a function of its radius is V = 2πr^3

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The label on a car's antifreeze container claims to protect the car between -40°C and 125°C. To covert Celsius temperature to Fahrenheit temperature, the formula is C = 5/9 (F - 32). Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car.

Answers

The compound inequality to determine the Fahrenheit temperature range is given by  [tex]-40 < \frac{5}{9}(F-32) < 125[/tex] .

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is to size-compare two numbers on a number line.

Inequality is represented by:

The notation x < y means that x is less than y.The notation x > y means that x is greater than y.The notation x ≤ y or x ⩽ y means that x is less than or equal to y The notation x ≥ y or x ⩾ y means that x is greater than or equal to y

A compound inequality is of the form : a < x < b implies that the value of x lies between the values of a and b.

According to the question if temperature is denoted in Celsius the inequality can be written as : -40° < °C < 125°

Now we know that the relation between C and F can be written as

[tex]C=\frac{5}{9}(F-32)[/tex]

Therefore the required inequality will be of the form:

[tex]-40 < \frac{5}{9}(F-32) < 125[/tex]

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Four cylindrical barrels each have a capacity of 100 L but have different diameters and heights. Determine the height of the barrel for each diameter. a) 40.0 cm b) 45.0 cm c) 50.0 cm d) 55.0 cm​

Answers

Answers for each below

Step by step

We know V = TT x radius ^2 x height

So fill in your known values and solve

Given are diameters, we know radius is 1/2 so divide each diameter by 2 first

a) 100 = 3.14 x 20^2 x height
100 = 3.14 x 400 x height
100 = 1256 x height
100/1256 = height
Height = .08cm

b) 100 = 3.14 x 22.5^2 x height
100 = 3.14 x 506.25 x height
100 = 1589.625 x height
100/ 1589.625 = height
Height = .06cm

c). 100= 3.14 x 25^2 x height
100 = 3.14 x 625 x height
100 = 1962.5 x height
100/ 1962.5 = height
Height = .05 cm

d). 100 = 3.14 x 27.5 ^2 x height
100 = 3.14 x 756.25 x height
100 = 2374.625 x height
100/2374.625 = height
Height = .04 cm







A case of 24 pairs of the same kind of sports shoes costs a little more than $800. Explain whether $28 per pair with tax included is a good estmate of the price

Answers

Answer:

$ 33.33

Step-by-step explanation:

can you make me brainliest pls

If m ∠ E B C = 3 r + 10 ° and m ∠ A B E = 2 r − 20 ° , find m ∠ E B F .

Answers

The measure of ∠EBF is 56°.

Here, we are given that-

m ∠EBC = 3 r + 10 °

and m ∠ABE = 2 r − 20 °

Also we can observe that ∠EBC and ∠ABE are angles on a straight line and hence will be supplementary.

⇒ ∠EBC + ∠ABE = 180

⇒ 3r + 10 + 2r - 20 = 180

5r - 10 = 180

5r = 180 + 10

5r = 190

r = 190/5

r = 38

Thus, ∠ABE = 2(38) - 20

= 76 - 20

= 56

Now, from the figure, m ∠EBF = m ∠ABE

⇒ m ∠EBF = 56°

Thus, the measure of ∠EBF is 56°.

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Your question was incomplete. Check for the missing figure below.

Find FH
FH = {Blank}

Answers

Answer:

FH = 24

Step-by-step explanation:

HG = 13

FH = 37 - 13

= 24

Answer:

The value of FH is 24.

Step-by-step explanation:

The equation will be,

→ FHG = FH + HG

Then the value of FH will be,

→ 37 = FH + 13

→ FH = 37 - 13

→ [ FH = 24 ]

Hence, the value of FH is 24.

Quadrilateral ABCD has the following angle measures:

m∠A = 105°, m∠B = ?°, m∠C = 34°, m∠D = 90°

What is m∠B?


pleeeeease help!!

Answers

Answer:

131°

Step-by-step explanation:

Sum of all angles of a quadrilateral = 360°

We can find the unknown angle ∠B, by subtracting the sum of the angles ∠A, ∠C, ∠D from 360°.

∠A + ∠B + ∠C + ∠D = 360

105 + ∠B + 34 + 90  = 360

           ∠B +  229      = 360

                     ∠B       = 360 - 229

                           ∠B = 131°

Answer:

The measure of m<GHE is 49°, the correct option is B.

What is a Quadrilateral?

A quadrilateral is a polygon with four sides.

It is of various types,

Trapezoid, which have one pair of parallel sides,

Parallelogram, it has two pairs of parallel sides,

Rhombus, it has all sides equal,

Rectangle, opposite sides are parallel and equal, and,

Square, all sides are equal and opposite sides are parallel, and all angles have measure of 90 degree.

The quadrilateral ABCD is ≅ quadrilateral EFGH

When two figures are congruent then by CPCTC, corresponding parts of congruent figures are congruent.

The measure of the angle

B = m<BCD = 90°

m<BAD = 131°

As the quadrilaterals are congruent,

By CPCTC

∠F = ∠FGH = 90°

m ∠FEH =  131°

The measure of m<GHE has to be determined.

The sum of the measures of all angle so of a quadrilateral is 360 degree.

The ∠F + ∠FGH + ∠FEH + ∠GHE = 360

90 +90+ 131 +∠GHE = 360

∠GHE = 49°

Step-by-step explanation:

1. Is x = 2, y = 6, z = 1 a solution to the system of equations? Explain.
1.5x + y-z = 8
x + 3y = 18
2y + z = 13
2. If y = 6, find the values of and z.
x
4x+y=z=15
x + 2y + z = 38

Answers

The solution to the system of equation is x = 6, y = 4, z = 5

The equation is

1.5x + y - z = 8

x + 3y = 18

2y + z = 13

From this we have,

y = 8 - 1.5x + z

x + 3y = 18

2y + z = 13

x + 3(8 - 1.5x + z) = 18

2(8 - 1.5x + z) + z = 13

Apply the Distributive Property

x + 24 - 4.5x + 3z = 18

16 - 3x + 2z + z = 13

Combine like terms

-3.5x + 24 +3z = 18

16 - 3x + 3z = 13

Rearrange variables to the left side of the equation

-3.5x + 3z = 18 - 24

-3x + 3z = 13 - 16

Subtract the two equation

-3.5x + 3z - (-3x + 3z ) = 18-24 - ( 13-16)

-3.5x + 3z + 3x -3z = 18 - 24 - 13 + 16

-3.5x + 3x = 18 - 24 - 13 + 16

x = 6

Substitute the value of x in one of the equation

-3×6 + 3z = 13 - 16

-18 + 3z = -3

3z = 15

z = 5

Now put the value of x and z

y = 8 - 1.5x + z

y = 8 - 1.5×6 + 5

  = 8 -9 + 5

  = 4

Therefore the solution to the system of equation is x= 6, y = 4 and z = 5

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Four representations of the same data are shown below.


Verbal Description

Shay pays a $4 monthly fee in addition to the data and minutes charges on her cell phone bill, x.

Equation

y = x + 4


Table

A 2-column table with 3 rows. Column 1 is labeled x with entries 30 dollars, 40 dollars, 50 dollars. Column 2 is labeled y with entries 34 dollars, 44 dollars, 54 dollars.

Graph

Cell Phone Bill

A graph with data/minutes charges on the x-axis and total bill on the y-axis. A line goes through points (0, 4) and (3, 7).

Which two representations are considered to be only partial representations?
the equation and the verbal description
the verbal description and the graph
the table and the equation
the graph and the table
Mark this and return

Answers

The two representations which are considered to be only partial representations include the following: D. the graph and the table.

What is a function?

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable to an output variable.

What is a graph?

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

In this scenario, the following are complete representations of the same data because they are valid for all possible x values:

Verbal descriptionEquation

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An atom has a diameter of 2.00 Å and the nucleus of that atom has a diameter of 9.50×10−5 Å . Determine the fraction of the volume of the atom that is taken up by the nucleus. Assume the atom and the nucleus are a sphere.

Answers

fraction of the volume of the atom taken by nucleus = 1.07*10^-13

Space occupied by the sphere is the volume of sphere.

A straight line passing from side to side through the center of the body especially a circle or sphere is known as diameter.

Volume of sphere = 4/3πr³

Diameter of an Atom = 2.00Â

Diameter of an nucleus = 9.50×10⁻⁵Â

Radius of an Atom = 1.00Â

[tex]\frac{4}{3}\pi r^3=\frac{4}{3}\pi (4.75*10^(-5))^3\\[/tex]

Volume of an Atom = [tex]\frac{4}{3}\pi r^3= \frac{4}{3}\pi 1^3=\frac{4}{3}\pi[/tex]

Volume of nucleus = [tex]\frac{4}{3} \pi r^3=\frac{4}{3} \pi (4.75*10^-5)^3\\=\frac{4}{3} \pi 107.1718*10^-15[/tex]

fraction of the volume of the atom taken by nucleus =

4/3π 107.17*10^-15/ 4/3π =107.17*10^-15 = 1.07 *10^-13

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suppose M is the midpoint of FG. find each missing measure.

FM= 8a + 1, FG = 42, a =?

Answers

The value of a is 2.5

As FG is the line and M is the midpoint of the line

  F   ______________·_________________G

                                    M

So by this, we have that

    FG = FM + MG

Where FM = MG as M is the midpoint of the line.

Therefore FG = 2FM

As it is given that FM = 8a + 1 and FG = 42

Now putting the values we have

42 = 2( 8a + 1)

21 = 8a + 1

20 = 8a

a = 2.5

Therefore the value of a is 2.5.

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does the narrator seem trustworthy as he gives his account of the events in the story? cite evidence from the text to explain your opinions. The day was humid.What part of speech is "day?" Which of the following minerals from your lab is metallic? (E.S. 5.2)O haliteO sulfurO pyriteO diamond Which of the following ordered triples is the solution to the system of equations?2x y z = 13x + y z = 2x + y 5z = 8 For each of the following, state whether it is an organelle, a cell, a tissue, an organ, an organ system or an organism A heart B trachea C onion epidermis D onion bulb E onion plant F human being G lungs Describe at least two differences between constructing an inscribed regular hexagon and constructing an inscribed square. 100 points and brainliest a postmenopausal client has been prescribed ibandronate (boniva) 3 mg intravenously every 3 months. boniva is available 1 mg/ml. how many ml should the nurse administer? a 46-year-old man is currently enrolled in a phase 2 study of a drug for severe diabetic neuropathy. while the study is on-going, a new drug becomes carlys cupcakes calculated $10,000 in depreciation expense for its baking equipment in the first quarter. what is the adjusting journal entry carly must record to recognize this expense? My mom plans to drop off Uncle Eric at the airport as he begins his trip to Europe. Find the missing number so that the equation has no solutions.x+1=2x6 Select all the correct answers. a scientist carried out several different procedures, each of which caused a change in matter. select each procedure that is likely a chemical change. salt crystals were crushed into a fine powder. bubbles were produced when iron was placed in acid. two liquids were combined, and a solid appeared. a piece of metal melted when it was heated. a white substance turned blue when water was added. A shop displays a total of 50 type A and type B mice. The cost of a type A mouse is $6 and that of a type B mouse is $13. If the total cost of all 50 mice is $433, find the number of type A mice displayed. The answers is 31 Write a letter to your sister who lives in another part of the country, telling her about all that has happened.In your letter you should cover the following points: Which equation represents a line through (4, -6) and (0, 2)? Have you ever been to a zoo? You were probably able to see many animals that you had only ever seen in a science textbook. The experience you had at the zoo was probably memorable and taught you things you never knew before.Zoos allow animals to live in a safe environment. These animals do not have to worry about the threat or stress of predators. They do not have to deal with the irritation or pain of injuries and illnesses that they would if they lived in the wild. Animals in the zoo are given top-quality treatment when they are hurt or in need of special care. The animals are hydrated and fed, and zookeepers are sure to give them a high-quality diet with all the nutrients needed. A good zoo provides great care and protection for the animals in their care. Because there are many species of animals in danger of going extinct, zoos provide an even more important role in our world. Zoos help protect species going extinct. A species that is kept in captivity is a zoos effort to help rebuild the population. Once the population is rebuilt, the zoos can reintroduce the animals to the wild. Without zoos, many more species would be extinct. When an animal species is extinct, there is no new research that can be done. Many children and adults enjoy seeing animals in person. Kids learn seeing, hearing, smelling and watching what an animal does. This allows humans to have a greater understanding of animal species that they would never have had the chance to learn about if zoos did not exist. When we as humans have opportunities to learn about the animals on our planet, we can make the right decisions in order to keep our ecosystems successfully functioning.1. What is the authors message? In the other circles (4), write the authors evidence and reasons you found in the text.2. Why did the author write this?3. Find one sentence that supports the authors claim that zoos are an enjoyable experience for visitors.4. What claim is the author making in paragraph 2?5. Find one piece of evidence that supports your answer to #4. The sum of three lengths of a fence ranges from 45 to 60 inches. Two side lengths are 9 and 18 inches. If the length of the third side is x inches, write and solve a compound inequality to show the possible lengths of the third side. a. 9 x 18 b. 18 x 33 c. 36 x 42 d. 45 x 60 cos x + sin x tan x = sec x ill give uu crown if you answer this for me please help Use the following statement to answer ALL three parts of the question. Statement: If two angles are supplementary, then the angles are a linear pair