the titration curve for a spectrometric titration: a (analyte) b (titrant) = c d both a (100 ml of 0.001 m) and b (0.001 m) display a similar color at 520 nm (EA =100, EB, = 200 M-1 cm-1, b = 1.0 cm) and both C and D are colorless. Measure the absorbance at 520 nm at different %T. Sketch the titration curve and label 0%T, 50%T, 100%T, and 200%T. At end point, you have:- a) Volume of B added is 50 mL, and the absorbance measured is 0.24 b) Volume of B added is 100 mL, and the absorbance measured is 0.4 4 c) Volume of B added is 100 mL, and the absorbance measured is 04 d) Volume of B added is 100 mL, and the absorbance measured is 0.24 ? ? ? Į 소

Answers

Answer 1

The titration curve for a spectrometric titration of A(analyte) by adding B (titrant), the volume of B at end point is 100 ml and absobance at this point is equals to zero. So, option(c) is right one.

We have a spectrometric titration with A (analyte) B (titrant) = C + D ( products)

where A (100 ml of 0.001 m) and B (0.001 m) display a similar color at 520 nm both C and D are colorless.

In the spectrophotometric titration of the colored substrat and colored titrant to produce colorless products, the absorbance is maximum intially because both the analyte and the titrant are colored. The absorbance of the solution decreases with the addition if the titrant due to the formation of the colorless products. The abosrbance becomes zero at the end point where the reaction undergoes completion and all substrate is converted into products. Then, the absorbance of the solution again increases due to the addition of the colored titrant solution. The titration curve is present in attached figure. At end point volume of B can be determined by following equation, [tex]M_A V_A = M_B V_B [/tex]

where M --> represents molarity

V --> volume

here [tex] M_A =0.001 M , M_B = 0.001 M[/tex] and [tex]V_A = 100 ml [/tex].

So, [tex]0.001 (100) = (0.001 ) V_B[/tex]

=> [tex]V_B = 100 ml[/tex]

As the products C and D are colourless, so at that point absorbance is equals to the zero. Hence, Volume 100 ml, of B is added and absorbance is zero.

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Related Questions

18. In AABC, 44 is a right angle, and m4B 45°. What is the length of BC? If the answer is not an integer, leave it in simplest radical form. The
diagram is not drawn to scale.

054 ft

17√3 ft

17√2 ft

017

Answers

Answer:

17√3

Step-by-step explanation:

In a 45-45-90 triangle, the hypotenuse is √3 times larger than the legs.

17*√3 = 17√3

Which equation could be used to find the length of the hypotenuse?

Triangle A B C. Side A C is 5 centimeters and side C B is 8 centimeters. Hypotenuse A B is labeled c.
5 squared + 8 squared = c squared
5 squared + c squared = 8 squared
c squared minus 5 squared = 8 squared
8 squared minus 5 squared = c squared

Answers

The equation which could be used to find the length of the hypothenuse is; 5 squared + 8 squared = c squared.

Which equation could be used to find the length of the hypothenuse?.

It follows from the task content that the equation which could be used to find the length of the third side be determined.

Hence, since it follows from Pythagoras theorem that the square of the hypothenuse is equivalent to the sum of the squares of the two other sides of a right triangle.

Hence, the required equation is; 5 squared + 8 squared = c squared.

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Answer:

The answer is A
5 squared + 8 squared = c squared

Step-by-step explanation:

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

Answers

The solution to the inequality is x > 3

The number line that represent the solution set will be:

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right. The correct option is the second option

Linear Inequalities

From the question, we are to determine the number line that represents the solution set for the given inequality

The given inequality is

3(8 – 4x) < 6(x – 5)

First, we will solve the inequality

3(8 – 4x) < 6(x – 5)

Clear the brackets

24 - 12x < 6x - 30

Collect like terms

24 + 30 < 6x + 12x

54 < 18x

Divide both sides by 18

3 < x

x > 3

Hence, the number line that represent the solution set will be:

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right. The correct option is the second option

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What is the tax due for a single taxpayer reporting a taxable income of $65,725?

Answers

The tax due for the single taxpayer whose income is as described is; $14,459.5.

What is the tax due for the single taxpayer?

It follows from the task content that the tax due for a single taxpayer whose taxable income is; $65,725 is to be determined.

Since, the taxable income falls between the range; $40,526 to $86,375, 22% of the income is the tax due and hence, the tax due can be evaluated as follows;

= (22/100) × $65,725

= 14,459.5

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Patient a weighs 135.8 pounds.patient b weighs 135 2/5 ibs. which patient has the greater weight or if their weights are equal

Answers

Answer:

patient A has the greater weight

2. 2x+6y=6
-x-3y = -3
Solution(s):
PLEASE HELP SOLVE FOR X AND Y

Answers

Answer:

x = 0, y = 1

Step-by-step explanation:

2x + 6y = 6 → (1)

x - 3y = - 3 ( add 3y to both sides )

x = 3y - 3 → (2)

substitute x = 3y - 3 into (1)

2(3y - 3) + 6y = 6 ← distribute parenthesis and simplify left side

6y - 6 + 6y = 6

12y - 6 = 6 ( add 6 to both sides )

12y = 12 ( divide both sides by 12 )

y = 1

substitute y = 1 into (2)

x = 3(1) - 3 = 3 - 3 = 0

solution is x = 0 , y = 1

Total area=
Help me please! Thanks so much

Answers

The surface area of the oblique prism is equal to 485 square units.

How to find the surface area of an oblique prism

In this question we have an oblique prism with seven faces, consistiting in two regular hexagons and five parallelograms. The surface areas is the sum of these seven faces:

A = 2 · 50 + 5 · 11 · 7

A = 485

The surface area of the oblique prism is equal to 485 square units.

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Write the factored form of an equation that has the zeros 4 and -7.

Answers

The factored form of the equation that has the zeros 4 and -7 is y = ( x - 4)( x + 7 ).

What is the factored form of an equation that has the zeros or roots 4 and -7?

Roots are simply the points where the graph intercepts with the x-axis. ( y = 0 )
That is, y = 0 the roots

Given the roots of the equation;

4-7

Now, at x = 4,

x = 4

x - 4 = 0

y = ( x - 4)

Also, at x = -7,

x = -7

x - ( - 7 ) = 0

x + 7 = 0

y = ( x + 7 )

Hence; for the equation with the given roots; 4 and -7 will be;

y = ( x - 4)( x + 7 ).

The factored form of the equation that has the zeros 4 and -7 is y = ( x - 4)( x + 7 ).

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A _____ is an interval estimate of an individual y value, given values of the independent variables. Group of answer choices prediction interval confidence interval interval estimation regression

Answers

A confidence interval is an interval estimate of an individual y value, given values of the independent variables.

According to statement

we have to find a interval which give an estimate of an individual y value, given values of the independent variables.

Confidence interval tells that more than just the possible range around the estimate. It also tells about how stable the estimate is. A stable estimate is one that would be close to the same value if the survey were repeated.

So, A confidence interval is an interval estimate of an individual y value, given values of the independent variables.

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Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4

Answers

The equations have the same solution are 2.3p – 6.5p + 0.01p =– 4  + 10.1 and -4.19p = 6.1

linear equation

This are equations that has a leading degree of 1. GIven the expression as shown below

2.3p – 10.1 = 6.5p – 4 – 0.01p

Collect the like terms

2.3p – 6.5p + 0.01p =– 4  + 10.1

Simplify

-4.19p = 6.1

Hence the equations have the same solution are 2.3p – 6.5p + 0.01p =– 4  + 10.1 and -4.19p = 6.1

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Please give the answer

Answers

Answer: See the attached image below for the filled in table.

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

Explanation:

The domain is the set of all allowed x inputs of a function.

The term "radicand" refers to the stuff under the square root.

We cannot have a negative number under the square root. Therefore, the radicand must be 0 or larger.

The first function must have [tex]4x+6 \ge 0[/tex] which becomes [tex]4x \ge -6[/tex] and leads to [tex]x \ge -\frac{6}{4}[/tex] aka [tex]x \ge -\frac{3}{2}[/tex]

So x = -3/2 is the smallest input allowed. Which is where the interval notation of [tex]\left[-\frac{3}{2}, \infty)[/tex] comes from. It's the interval spanning from -3/2 (inclusive) to infinity. This represents the set of all possible x inputs of the first function.

--------

Follow this same idea for problem 2. The steps would be something like this:

[tex]-20x - 6 \ge 0\\\\-20x \ge 6\\\\x \le \frac{6}{-20}\\\\x \le -\frac{3}{10}\\\\[/tex]

The inequality sign flips because we divided both sides by a negative number. That then leads to the interval notation of [tex](-\infty, -\frac{3}{10}\big][/tex]

The interval spans from negative infinity (exclusive) to -3/10 (inclusive).

--------

Problem 3 would have these steps

[tex]5x-16 \ge 0\\\\5x\ge 16\\\\x\ge \frac{16}{5}\\\\\big[\frac{16}{5}, \infty)\\\\[/tex]

No sign flip happens since we divided both sides by a positive number.

--------

Lastly, here are the steps for problem 4

[tex]20+6x \ge 0\\\\6x \ge -20\\\\x \ge -\frac{20}{6}\\\\x \ge -\frac{10}{3}\\\\\big[-\frac{10}{3}, \infty)[/tex]

Don't forget to use the square bracket to include the endpoints mentioned. We always use curved parenthesis for either infinity because we can't ever reach infinity. In a sense, we "approach" infinity.

Once again, all of this is summarized in the filled out table shown below (attached image). Feel free to ask any questions if they come to mind.

Your family is going on vacation for two nights. You don't want to spend more than $135 on a hotel room for your vacation. Write an inequality to represent how much you can spend each night on your hotel room.

Answers

Answer:

Step-by-step explanation:

$135 is less than or equal to 2 nights at the hotel (h)

135</=2h

Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.

Answers

The correct answer is  8.5 in.

What is Heron's formula in math?Heron's formula, formula credited to Heron of Alexandria for finding the area of a triangle in terms of the lengths of its sides. In symbols, if a, b, and c are the lengths of the sides: Area = Square root of√s(s - a)(s - b)(s - c) where s is half the perimeter, or (a + b + c)/2.

we know that

The formula of area of triangle is equal to

             [tex]A = \frac{1}{2} (b) (h)[/tex]

We have

b = BC = 6 in

h = AD = x in

substitute

[tex]A = \frac{1}{2} (6) (x)[/tex]

[tex]A = 3x^{2} in^{2} ..................(1)[/tex]

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.  

Let  a,b,c be the lengths of the sides of a triangle.  

The area is given by:-

[tex]A = \sqrt{p(p-a) (p-b) (p-c)}[/tex]                     where p is half the perimeter

[tex]p = \frac{a +b+ c}{2}[/tex]

a = 9 in , b= 9 in, c = 6 in

[tex]p = \frac{9 + 9 + 6}{2} = 12 in[/tex]

Find the area

[tex]A = \sqrt{12( 12 - 9) (12-9) (12 - 6)}[/tex]

[tex]A = \sqrt{12 (3)(3)(6)}[/tex]

[tex]A = \sqrt{648}[/tex]

[tex]A = 25.46 in^{2}[/tex]

Substitute the value of the area in the equation 1 and solve for x

[tex]A = 3x in^{2}[/tex]

25.46 = 3x

x = 25.46/3

x = 8.5 in

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The complete question is -

HELP PLEASE! Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.

A. 8 in.

B. 11.3 in.

C. 8.5 in.

D. 6.2 in.

A mass weighing 16 pounds is attached to a spring whose spring constant is 36 lb/ft. what is the period of simple harmonic motion?

Answers

The period of simple harmonic motion is T = 4.19 seconds:

For given question,

A mass weighing 16 pounds is attached to a spring whose spring constant is 36 lb/ft.

So, we have mass (m) = 16 pounds

spring constant (k) = 36 lb/ft.

Let T be the period of simple harmonic motion.

Using the formula for the period of simple harmonic motion,

⇒ T = 2π√(m/k)

⇒ T = 2 × π × √(16/36)

⇒ T = 2 × π × √(0.444)

⇒ T = 2 × π × 0.666

⇒ T = 1.333 × π

⇒ T = 4.19 seconds

Therefore, the period of simple harmonic motion is T = 4.19 seconds

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A box of chocolates contains hard-centred and soft-centred chocolates in the ratio 5 : 2. If there are 49 chocolates in the box, how many are hard-centred and how many are soft- centred?
Hard-Centred___________ Soft-Centred__________

Answers

Hard centered: 35
Soft centered: 14

There will be total 14 hard centred and 14 soft centred choclates in the box.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that in the question hard-centred and soft-centred chocolates in the ratio 5 : 2

Hard centred/ Soft centred = 5/2

And total

Hard centred + Soft centred = 49

Now let say hard centred is H and soft centred S

H/S = 5/2 and H + S = 49

Now H = (5/2)S put into second equation

(5/2)S + S = 49

S(7/2) = 49

S = 14 now put into second equation

H + 14 = 49 = 35 hence hard centred will be 35 and soft centred will be 14.

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please help thank you! will give brainliest!

Answers

A'(-6, -10), B'(-3, -13) and C'(-5, -1) are the vertices of the ΔA'B'C' given that the vertices of the ΔABC are A(-6, -7), B(-3, -10) and C(-5, 2) and translation rule (x, y) → (x, y-3) is applied. This can be obtained by putting coordinate values of vertices in the translation rule and then vertices of ΔA'B'C' are found.

Find the vertices of ΔA'B'C' :

Given that,

In ΔABC, the vertices are A(-6, -7), B(-3, -10) and C(-5, 2)

The translation rule that must be applied is ⇒ (x, y) → (x, y-3)

By applying the translation rule to each of the vertices of ΔABC we get,

A(-6, -7) → A'(-6, -7-3) = A'(-6, -10)B(-3, -10) → B'(-3, -10-3) = B'(-3, -13)C(-5, 2) → C'(-5, 2-3) = C'(-5, -1)

That is,

(-6, -7) → (-6, -10)(-3, -10) → (-3, -13)(-5, 2) → (-5, -1)

These new coordinates are the vertices of  ΔA'B'C'.

Hence A'(-6, -10), B'(-3, -13) and C'(-5, -1) are the vertices of the ΔA'B'C'.

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Irene knows her blood type is A, but William does not know his blood type. However, William knows that his mother and father both had blood type B. Irene and William's first child is a boy with type O blood. Based on this information, William's blood type could be

Answers

Based on this information, William's blood type could be either B or O.

What is Segregation of alleles?

Allele pairs (several features of the same gene) are segregated during meiosis so that they can be transferred selectively to different gametes.During meiosis, maternal and paternal alleles separate.

What is genotype vs phenotype ?

Genotype: An organism's genetic makeup. Phenotype. physical characteristic that arises within an organism as a result of its genotype. Probability law.Genotype - the set of alleles that make up an organism.

How does genotype influence phenotype ?

The alleles you have for a specific gene or collection of genes are referred to as your genotype. The physical attribute itself, or phenotype, can be affected by both genotype and environmental variables.

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Need help on the Sin(4x) part of the question please!!

Answers

a. The equivalent expression for cos(4x) in terms of just x is 8cos⁴x - 8cos²x + 1

b. The equivalent expression for sin(4x) in terms of just x is 4sinxcos³x - 2sinxcosx

a. The equivalent trigonometric expression for cos(4x)

To find the trigonometric expression for cos(4x)

cos(4x) = cos[2(2x)]

Now from trigonometric identities

cos2Ф = 2cos²Ф - 1

Let 2x = Ф.

So, cos(4x) = 2cos²2x - 1

Also, cos2x = 2cos²x - 1

So, substituting cos2x into cos4x, we have

cos(4x) = 2cos²2x - 1

cos(4x) = 2[2cos²x - 1]² - 1

cos(4x) = 2[4cos⁴x - 4cos²x + 1] - 1

cos(4x) = 8cos⁴x - 8cos²x + 2 - 1

cos(4x) = 8cos⁴x - 8cos²x + 1

So, the equivalent expression for cos(4x) in terms of just x is 8cos⁴x - 8cos²x + 1

b. The equivalent trigonometric expression for sin(4x)

To find the expression for sin(4x)

sin(4x) = sin2(2x)

From trigonometric identities sin2Ф = 2sinФcosФ

Let 2x = Ф

So, sin(4x) = sin2(2x)

= 2sin2xcos2x

Since

sin2x = 2sinxcosx and cos2x = 2cos²x - 1

Substituting these into the equation, we have

sin(4x) =  2sin2xcos2x

sin(4x) = (2sinxcosx)(2cos²x - 1)

sin(4x) = 4sinxcos³x - 2sinxcosx

So, the equivalent expression for sin(4x) in terms of just x is 4sinxcos³x - 2sinxcosx

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Latoya, Kevin, and Milan have a total of $117 in their wallets. Milan has 4 times what Latoya has. Latoya has $9 less than Kevin. How much do they have in
their wallets?

Answers

Answer:

Step-by-step explanation:

Let Kevin have x dollars. Then Latoya has x - 9 dollars and Milan has 4(x - 9) dollars.

x + (x-9) + 4(x-9) = 177

7x - 40 = 177

7x = 217

x = 31

Kevin has $31

Latoya has 31 - 9= $22

Milan has 4*24 = $96

WILL MAKE BRAINLIEST!! Solve for b.

Answers

Answer: 98

Step-by-step explanation: 180 - 82 = 98

180 - 80 = 100, and 100 - 2 is 98.

Other than translation, what transformation is used to create this frieze pattern?

180° rotation

vertical reflection

horizontal reflection

translation

Answers

Other than translation, the transformation that is used to create this frieze pattern is; B: Vertical Reflection

How to Identify the Transformation?

Now, we see all the Frieze Patterns on top are being transformed using Translation as it is the exact same pattern throughout the top.

Now, for the bottom we see that is is simply a reflection of the one on top and so it is a vertical reflection because it is reflected across the x-axis.

A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection reflects a graph horizontally across the y-axis.

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PLS HELP AND EXPLAIN . math related

Answers

Answer:

(0,0)

Step-by-step explanation:

The y-intercept (where the graph of the equation crosses the y-axis) occurs where x = 0. If you substitute 0 for x in the equation, y = 0. So the y-intercept is at (0,0).

A student scores 74, 87, 68, 63, 76 on his last five
exams. His teacher will drop the lowest grade to
compute the student's average. What is the
students average in the class?

Answers

Answer:

76.25

Step-by-step explanation:

what is the volume of the prism

Answers

Answer:

8/15 cm

Step-by-step explanation:

Volume = length x width x height

Volume = 4/5 cm x 1/5 cm x 10/3 cm

Volume = 4/25 cm x 10/3 cm

Volume = 40/75 cm = 8/15 cm

Brainliest, please :)

Answer:

[tex]\frac{8}{15}[/tex]

Step-by-step explanation:

Volume of prism = [tex]l[/tex] · [tex]w[/tex] · [tex]h[/tex]

which means

[tex]\frac{10}{3} *\frac{4}{5} *\frac{1}{5}[/tex]

which is [tex]\frac{8}{15}[/tex] by using cross simplify  

Hope this helps ;D

Find and compare the growth rates in the weekly number of specialty items produced at each factory.

Show your work.

Answers

0.129 is the change in the growth rate of company.

According to statement

we have to find and compare the growth rate of the company weekly.

we use the growth rate formula is

GROWTH RATE = present - past / present

Substitute the values in this formula

1st week = 220-190 / 220

1st week = 0.136

2nd week = 252-220 / 252

2nd week = 32 / 252

2nd week = 0.126

3rd week = 290-252 / 290

3rd week = 0.131

4th week = 337 - 290 / 337

4th week = 0.139

5th week = 380 - 337 / 380

5th week = 0.113

6th week = 440 - 380 / 440

6th week = 0.136

7th week = 505 - 440 / 505

7th week = 0.128

Now we find the average value of growth rate

Average = 0.136 + 0.126+0.131+0.139+0.113+0.136+0.128 /7

Average = 0.909/7

Average = 0.129

So, 0.129 is the change in the growth rate of company.

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volume of cylinder 8cm and 12 cm
[tex]v=\pi(8)(12)[/tex]

Answers

The volume of the cylinder is 301.593 cubic centimeter.

What is the volume of the given cylinder ?

Volume exists as a scalar quantity representing the amount of three-dimensional space enclosed by a sealed surface. For example, the space that a substance or 3D shape inhabits or contains. The volume stands often quantified numerically utilizing the SI-derived unit, the cubic meter.

A cylinder contains traditionally been a three-dimensional solid, one of the most essential curvilinear geometric shapes. Geometrically, it has been regarded as a prism with a circle as its base.

The dimensions of the cylinder is given as - 8 cm and 12 cm .

The formula of the volume of the cylinder is given as -

V = π * (8) * (12)

Thus the volume is = 96π ≈ 301.593 cubic centimeter.

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The table represents a function.
X f(x)
-4 -2
-1 5
3 4
5 -8

What is f(5)?
-8
-1
1
8

Answers

Answer: -8

Step-by-step explanation:

When x = 5, f(x) = -8.

The value of the function f(5) = -8.

We have,

The concept used to find the value of f(5) is function evaluation.

In this case, we are given a function represented by a table with x and f(x) values.

To evaluate the function at a specific value, such as f(5), we look for the corresponding x-value in the table and determine the corresponding f(x) value.

In this example, we found that when x = 5, f(x) is -8 by looking at the table provided.

To find the value of f(5), we need to look at the table and find the corresponding value of the function when x = 5.

From the given table, when x = 5, f(x) is -8.

Therefore,

The value of the function f(5) = -8.

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A track-and-field coach recorded the length of each student's standing long jump. The data is summarized in the box plot.
Standing Long Jumps
0
+
2
4
+
Feet
6
8
10
Choose all of the statements that can be concluded from this data.
A. The median jump length is 5 feet, which is the average length of a standing long jump for the students represented in the box plot.
B. The median jump length is 5 feet, which is the length of the middle student's long jump if the students were ordered by the length of
their long jump.
C. The interquartile range of the long jumps is 4 feet, which means that about half of the students' long jumps are within 4 feet of the
median.
D. The interquartile range of the long jumps is 4 feet, which means that about half of the students' long jumps are within 2 feet of the
median.
A

Answers

Answer:

A because of the average length showed

Find two consecutive numbers such that sum of four times the first and triple the second is 157. (Linear Function)

Answers

Step-by-step explanation:

Set up a system of equations,

Consective numbers appear before and after so we need two number such that

[tex]x + 1 = y[/tex]

or

[tex]x - y = - 1[/tex]

Likewise, we also know that

[tex]4x + 3y = 157[/tex]

Let multiply the top equation by 3.

We get

[tex]3x - 3y = - 3[/tex]

Then we add the bottom equation to that

[tex]4x + 3y = 157[/tex]

[tex]7x = 154[/tex]

[tex]x = 22[/tex]

Then we plug in x for the original equation,

[tex]22 + 1 = 23[/tex]

So the two numbers are 22,23.

Which expression is equivalent to -7(y - 2)

Answers

The expression equivalent to -7(y - 2) is -7y + 14

Which expression is equivalent to -7(y - 2)?

Given the expression; -7(y - 2)

We expand the expression by multiplying each element inside the parentheses the element out i.e -7

-7(y - 2)

[ -7 × y and -7 × -2 ]

-7y + 14

Therefore, the expression equivalent to -7(y - 2) is -7y + 14.

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