(Multi-Step Linear Equations MC)

Determine the value of x in the equation.

three fourths times the quantity x plus 6 end quantity minus one fourth times x equals two fourths times the quantity x plus 9 end quantity
A: x = 1
B: x = 2
C: No solution
D: Infinite solutions

Answers

Answer 1

Answer: To solve this equation, we need to get x on one side of the equation and all the other terms on the other side.

We can start by combining like terms:

three fourths times the quantity x plus 6 end quantity minus one fourth times x equals two fourths times the quantity x plus 9 end quantity

3/4 * x + 3/4 * 6 - 1/4 * x = 2/4 * x + 2/4 * 9

3/4 * x - 1/4 * x + 3/2 = 2/4 * x + 9/2

1/2 * x + 3/2 = x + 9/4

then we can move x to the left side of the equation:

x = x + 9/4 - 3/2

x = 9/4

So the value of x is 9/4.

The answer is A: x = 1.

This is a unique solution, it means that there is only one value of x that satisfies the equation.

Step-by-step explanation:


Related Questions

Which of the following statements is true for ∠a and ∠b in the diagram?

A) m∠a = m∠b

B) m∠a + m∠b = 90°

C) m∠a + m∠b = 180°

D) m∠a – m∠b = 90°

Answers

Answer:

A

Step-by-step explanation:

If you look at the angles or use something to measure it you can tell that a and b are opposite sides that are parallel to each other. So they are equal.

The surface area of this cylinder is 20,761.68 square yards. What is the height?
Use ≈ 3.14 and round your answer to the nearest hundredth.
29 yd
h=
Submit
h
yards

Answers

The height of the cylinder whose surface area is given would be = 85 yards.

How to calculate the height of a cylinder?

The cylinder is a type of shape that has three sides which consists of two opposite circles that are joined by a curved surface.

To calculate the height of a cylinder, the formula that should be used is given as follows:

Surface area of cylinder = 2πrh + 2πr²

radius = 29 yards

surface area = 20,761.68 square yards

height = ?

That is ;

20,761.68 = 2×3.14× 29×h + 2×3.14× 29×29

20,761.68 =182.12h + 5281.48

182.12h = 20,761.68-5281.48

182.12h = 15480.2

h = 15480.2/182.12

= 85 yards

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Can someone help me? Thank you

Answers

The solution is, the values are, -3, -2, [tex]\left[\begin{array}{ccc}-2&0\\0&-3\\\end{array}\right][/tex], 6.

Here, we have

given that,

the matrices are:

A = [tex]\left[\begin{array}{ccc}-1&0\\0&3\end{array}\right][/tex]

B = [tex]\left[\begin{array}{ccc}2&0\\0&-1\\\end{array}\right][/tex]

now, we have to find the determinant of them

|A| = -1*3 - 0

    = -3

|B| = -1*2 - 0

    = -2

Now, we have to find AB ,

we get,  A×B = [tex]\left[\begin{array}{ccc}-2&0\\0&-3\\\end{array}\right][/tex]

So, we have, the determinant value is :

|AB| = -2 * -3 - 0

      = 6

Hence, The solution is, the values are, -3, -2, [tex]\left[\begin{array}{ccc}-2&0\\0&-3\\\end{array}\right][/tex], 6.

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What is the difference of the polynomials?

Answers

The difference of the two polynomials is [tex]2x^3 + 2x[/tex]. Therefore option no 2 is correct from the image given.

A polynomial is a mathematical expression along with variables and coefficients, combined using only addition, subtraction, multiplication, & non-negative integer exponents.

To discover the distinction of those two polynomials, we want to carry out polynomial subtraction.

[tex]{x^4+x^3+x^2+x} - {x^4-x^3-x^2-x}[/tex]

[tex]= x^4 + x^three + x^2 + x - x^4 + x^3 + x^2 + x ([/tex] distribute the negative sign to every term inside the 2nd set of brackets)

[tex]= 2x^3 + 2x[/tex] (integrate like terms)

Therefore, the difference of the two polynomials is [tex]2x^3 + 2x.[/tex]

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Answer: A  7x2+3y2-4x

Step-by-step explanation:

mara works for an electronics store and receives a 6.5% commission on her sales. She also recevies a weekly salary 460. mara's boss asks her to specialize in the sale of flat screen televisions that cost $414 each, which means those are the only items she will sell. write and sole an equation to find the number of televisions, t, she sells in one week if she earns 890.56 for the week

Answers

Answer:

16 tvs

Step-by-step explanation:

Maura's earnings for the week equal her weekly salary (460) plus she earns 6.5% commission x number of flat screens sold x $414.

So: Total Earnings = 460+ 0.065*414*t where t is the number of tvs she has sold.

If total earnings = 890.56, just substitute that above and solve for t.

890.56= 460+ 0.065*414*t

430.56=0.065*414*t

430.56=26.91*t

430.56/26.91 = t

16 = t

She sold 16 tvs to earn 890.56.

What is the meaning of "the atomic formulas"?

Answers

These atomic formulas represent basic assertions or relationships between elements or sets.

In logic and mathematical logic, "atomic formulas" refer to the simplest, indivisible formulas that do not contain any logical connectives or quantifiers.

They are the building blocks from which more complex formulas are constructed.

In set theory, the atomic formulas are typically statements about membership or equality.

For example, "x belongs to y" (x ∈ y) and "x equals y" (x = y) are atomic formulas in set theory.

Using logical connectives (such as conjunction, disjunction, negation, implication, and equivalence) and quantifiers (such as "for all" (∀) and "there exists" (∃)), we can combine atomic formulas to form more complex formulas, enabling us to express a wide range of logical statements and mathematical properties.

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The radius of a circle is 17 centimeters. What is the circle's circumference?

Answers

Answer:

The circle's circumference is approximately 106.81 centimeters.

Explanation:

The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the circle.

So, for a circle with a radius of 17 centimeters, its circumference can be found by:

C = 2πr

C = 2 x 3.14 x 17

C ≈ 106.81 cm

Therefore, the circumference of the circle is approximately 106.81 centimeters.

how to write expression for: three times square of apples on a tree minus 22 times the numbers of apples plus 35

Answers

Answer:

Step-by-step explanation:

let the number of apples represent x

3x^2 - 22x + 35

find the gradient of the curve y = 3x^4 - 2x^2 + 5x - 2 at the points (0, - 2) and (1,4)

Answers

Answer: To find the gradient of a curve at a given point, we need to find the derivative of the function with respect to x and then evaluate it at the desired x-coordinate.

Given the function y = 3x^4 - 2x^2 + 5x - 2, we can find its derivative dy/dx as follows:

dy/dx = d/dx(3x^4) - d/dx(2x^2) + d/dx(5x) - d/dx(2)

Taking the derivative of each term:

dy/dx = 12x^3 - 4x + 5

Now, let's evaluate the derivative at the given points:

Point (0, -2):

Substituting x = 0 into the derivative:

dy/dx = 12(0)^3 - 4(0) + 5

dy/dx = 0 - 0 + 5

dy/dx = 5

Therefore, the gradient at (0, -2) is 5.

Point (1, 4):

Substituting x = 1 into the derivative:

dy/dx = 12(1)^3 - 4(1) + 5

dy/dx = 12 - 4 + 5

dy/dx = 13

Therefore, the gradient at (1, 4) is 13.

John enclosed his 9 foot square garden. How much fence will he need

Answers

John will need 36 feet of fence to enclose his 9-foot square garden.

How much fence does John needs to enclose the garden?

A sqaure is simply a polygon made up of four equal sides, with all the interior angles measuring 90 degrees.

The perimeter of a square is expressed as:

Perimeter = 4 × side length

Given that, the side length of the square garden is 9 ft.

To calculate the amount of fence John will need to enclose his 9-foot square garden, we need to determine the perimeter of the square.

Perimeter = 4 × side length

Plug in the side length

Perimeter = 4 × 9 ft

Perimeter = 36 feet

Therefore, the perimeter of the garden is 6 feet.

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Franklin Lyons is married and claims 3 withholding allowances. He gets paid overtime if he works over 40 hours in a week. His gross pay is $958.38. Find the Federal Withholding Tax.

Answers

Based on the assumptions, the estimated Federal Withholding Tax for Franklin Lyons would be approximately $191.68.

Determine Franklin's taxable income:

To calculate the taxable income, we need to subtract any deductions or exemptions from his gross pay. We'll consider his gross pay as the taxable income.

Taxable Income = Gross Pay = $958.38

Estimate the Federal Withholding Tax rate:

The Federal Withholding Tax rate depends on the taxable income and the individual's filing status. Let's assume a general tax rate of 20% for this estimation.

Federal Withholding Tax rate = 20%

Calculate the Federal Withholding Tax:

To find the withholding tax, multiply the taxable income by the tax rate:

Federal Withholding Tax = Taxable Income * Federal Withholding Tax rate

= $958.38 * 0.20

= $191.68

Thus, the answer is $191.68.

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Question
Which equation describes the pattern shown in the table?

Answers

The equation of the quadratic function is y=x2−4x, the correct option is E

We are given that;

x=-4,-2,1

y=5,-5,0

Now,

The first three rows of the table, we get:

​y=−4 when x=−5y=5 when x=−2y=−3 when x=1​

Substituting into the general form, we get:

​−4=25a−5b+c5=4a−2b+c−3=a+b+c​

Solving this system of equations, we get:

​a=1b=−4c=0​

Therefore, the equation of the quadratic function is y=x2−4x.

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Question 4Mple Choice Worth 2 points)
Ares of Polygons and Composite Figures MC)
A composte figure is shown
024413
028.445²
1.15 in
Which of the following represents the total area of the figure?
010 663 ²
034.335 ²
4.6 in.
3h 563
P

Answers

The total area of the composite figure which has triangle and rectangle is  24.41 square inches

The given composite figure has two triangles and one rectangle

Area of rectangle =length × width

=4.6×3.15

=14.49 square inches

Area of left side triangle, it has base of 3.3 in and height 3.15 inches

Area of triangle = 1/2×3.3×3.15

=5.1975 square inches

Area of triangle on right side

Base = 3 in

Height = 6.3-3.15=3.15 in

Area of triangle = 1/2×3×3.15

=4.725 square inches

Total area = 14.49 + 5.1975  + 4.725

=24.41 square inches

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What is the value of x?

Answers

Answer:

x = 9

Step-by-step explanation:

6/(x - 1) = 21/(3x + 1)

21(x - 1) = 6(3x + 1)

21x - 21 = 18x + 6

3x = 27

x = 9

Answer:

Step-by-step explanation:

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

This helped me when i was learning to solve for x

a function that has a degree of 5 must have which one of the following?

a. 5 real zeros
b. 4 turning points
c. a maximum
d. at least one real 0

Answers

A function that has a degree of 5 must have the following: d. at least one real 0.

What is a polynomial function?

In Mathematics and Geometry, a polynomial function is a mathematical expression which comprises intermediates (variables), constants, and whole number exponents with different numerical value, that are typically combined by using specific mathematical operations.

Generally speaking, the degree of a polynomial function is sometimes referred to as an absolute degree and it is the greatest exponent (leading coefficient) of each of its term.

In conclusion, a function that has a degree of 5 is referred to as a quintic function and it is characterized by an odd degree, can't have more than 4 turning points, and must have at least one real zero.

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Need the answer for first picture!

Answers

The measure of <MNL is (71 - 3x²)/2.

We have,

Far Arc = 59 - 2x²

Near Arc = 12 - x²

Angle = 180- 2x²

Using the Formula

Angle= Average of vertical chords

180 - 2x² = (59 - 2x² + 12 - x²)/2

360 - 4x² = 71 - 3x²

289 = x²

x= 17

So, the measure of <MNL

= (71 - 3x²)/2

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If an engine has a 16:7 propeller gear ratio, what is the RPM of the propeller when the engine is turning at 2,400 RPM?

Answers

Answer:

Step-by-step explanation:

76 RPMs

{NEEDED A.S.A.P.} What is the surface area of the square pyramid represented by the net?




Enter your answer in the box.


[25 Point Reward.]

Answers

Answer:

4(1/2)(3)(5) + (3^2) = 30 + 9 = 39 ft^2

NO LINKS!!! URGENT HELP PLEASE!!!!

Solve ΔABC using the Law of Cosines part 1

3. a = 12, b = 13, c = 20

4. A = 78°, b = 18, c = 10

Answers

Answer:

3)  A = 35.2°, B = 38.6°, C = 106.2°

4)  B = 70.4°, C = 31.6°, a = 18.7

Step-by-step explanation:

Question 3

To solve for the remaining angles of the triangle ABC given its side lengths, use the Law of Cosines for finding angles.

[tex]\boxed{\begin{minipage}{7.6 cm}\underline{Law of Cosines (for finding angles)} \\\\$\cos(C)=\dfrac{a^2+b^2-c^2}{2ab}$\\\\\\where:\\ \phantom{ww}$\bullet$ $C$ is the angle. \\ \phantom{ww}$\bullet$ $a$ and $b$ are the sides adjacent the angle. \\ \phantom{ww}$\bullet$ $c$ is the side opposite the angle.\\\end{minipage}}[/tex]

Given sides of triangle ABC:

a = 12b = 13c = 20

Substitute the values of a, b and c into the Law of Cosines formula and solve for angle C:

[tex]\implies \cos(C)=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

[tex]\implies \cos(C)=\dfrac{12^2+13^2-20^2}{2(12)(13)}[/tex]

[tex]\implies \cos(C)=\dfrac{-87}{312}[/tex]

[tex]\implies \cos(C)=-\dfrac{29}{104}[/tex]

[tex]\implies C=\cos^{-1}\left(-\dfrac{29}{104}\right)[/tex]

[tex]\implies C=106.191351...^{\circ}[/tex]

To find the measure of angle B, swap b and c in the formula, and change C for B:

[tex]\implies \cos(B)=\dfrac{a^2+c^2-b^2}{2ac}[/tex]

[tex]\implies \cos(B)=\dfrac{12^2+20^2-13^2}{2(12)(20)}[/tex]

[tex]\implies \cos(B)=\dfrac{375}{480}[/tex]

[tex]\implies B=\cos^{-1}\left(\dfrac{375}{480}\right)[/tex]

[tex]\implies B=38.6248438...^{\circ}[/tex]

To find the measure of angle A, swap a and c in the formula, and change C for A:

[tex]\implies \cos(A)=\dfrac{c^2+b^2-a^2}{2cb}[/tex]

[tex]\implies \cos(A)=\dfrac{20^2+13^2-12^2}{2(20)(13)}[/tex]

[tex]\implies \cos(A)=\dfrac{425}{520}[/tex]

[tex]\implies A=\cos^{-1}\left(\dfrac{425}{520}\right)[/tex]

[tex]\implies A=35.1838154...^{\circ}[/tex]

Therefore, the measures of the angles of triangle ABC with sides a = 12, b = 13 and c = 20 are:

A = 35.2°B = 38.6°C = 106.2°

[tex]\hrulefill[/tex]

Question 4

Given values of triangle ABC:

A = 78°b = 18c = 10

First, find the measure of side a using the Law of Cosines for finding sides.

[tex]\boxed{\begin{minipage}{6 cm}\underline{Law of Cosines (for finding sides)} \\\\$c^2=a^2+b^2-2ab \cos (C)$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}[/tex]

As the given angle is A, change C for A in the formula and swap a and c:

[tex]\implies a^2=c^2+b^2-2cb \cos (A)[/tex]

Substitute the given values and solve for a:

[tex]\implies a^2=10^2+18^2-2(10)(18) \cos (78^{\circ})[/tex]

[tex]\implies a^2=424-360\cos (78^{\circ})[/tex]

[tex]\implies a=\sqrt{424-360\cos (78^{\circ})}[/tex]

[tex]\implies a=18.6856038...[/tex]

Now we have the measures of all three sides of the triangle, we can use the Law of Cosines for finding angles to find the measures of angles B and C.

To find the measure of angle C, substitute the values of a, b and c into the formula:

[tex]\implies \cos(C)=\dfrac{a^2+b^2-c^2}{2ab}[/tex]

[tex]\implies \cos(C)=\dfrac{(18.6856038...)^2+18^2-10^2}{2(18.6856038...)(18)}[/tex]

[tex]\implies \cos(C)=0.852040063...[/tex]

[tex]\implies C=31.565743...^{\circ}[/tex]

To find the measure of angle B, swap b and c in the formula, and change C for B:

[tex]\implies \cos(B)=\dfrac{a^2+c^2-b^2}{2ac}[/tex]

[tex]\implies \cos(B)=\dfrac{(18.6856038...)^2+10^2-18^2}{2(18.6856038...)(10)}[/tex]

[tex]\implies \cos{B}=0.334888270...[/tex]

[tex]\implies B=\cos^{-1}(0.334888270...)[/tex]

[tex]\implies B=70.434256...^{\circ}[/tex]

Therefore, the remaining side and angles for triangle ABC are:

B = 70.4°C = 31.6°a = 18.7

What are the coordinates of the midpoint of a segment with endpoints at (8, 25) and (16, 7)?


CLEAR CHECK

(0, 43)


(8, -18)


(12, 16)


(24, 32)

Answers

Answer:

C) (12, 16)

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

Use midpoint equation to find each coordinate:

x = (8 + 16)/2x = 12

and

y = (25 + 7)/2y = 16

So the midpoint is (12, 16).

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

Answer:

6/MN = 8/9

8MN = 54

MN = 6 3/4

The correct answer is B.

what’s is the surface area of this rectangular prism?

Answers

Answer:

220 in²

Step-by-step explanation:

surface area = [area of the 4 vertical faces] + area of the base + area of top.

surface area = [2(4 X 10) + 2(5 X 10)] + (4 X 5) + (4 X 5)

= (80 + 100) + 20 +  20

= 220 in²

100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

Answers

A graph of the image of polygon DGF after a dilation centered at the origin with a scale factor of 1.5 is shown below.

What is a dilation?

In Geometry, a dilation is a type of transformation which typically changes the dimension (size) or side lengths of a geometric figure, but not its shape.

This ultimately implies that, the side lengths of the dilated geometric figure would be enlarged or reduced based on the scale factor applied.

In this scenario an exercise, we would dilate the coordinates of the polygon by applying a scale factor of 1.5 that is centered at the origin as follows:

D (-2, 0) → (-2 × 1.5, 0 × 1.5) = D' (-3, 0).

G (0, 2) → (0 × 1.5, 2 × 1.5) = G' (0, 3).

F (2, -2) → (2 × 1.5, -2 × 1.5) = F' (3, -3).

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Find the area under the standard normal distribution curve between z=0 and z=0.31

Answers

Using the z-score values given, the area under the standard normal distribution curve is 0.123 squared units

What is the area under standard normal distribution curve

The total area under the standard normal distribution curve is 1. Therefore, if we have a z-score, i.e., how far a value is above or below the mean, we can determine the probability of a value less than or greater than that.

The points are

z₁ = 0z₂ = 0.31

A = z₂ - z₁

z₂ = 0.6230

z₁ = 0.5000

A = 0.6230 - 0.5000

A = 0.123 squared units

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Describe the translation shown using a table of values and an algebraic rule.
Help please

Answers

The algebraic rule for the translation in this problem is given as follows:

(x,y) -> (x + 9, y - 1).

What are the translation rules?

The four translation rules are defined as follows:

Left a units: x -> x - a.Right a units: x -> x + a.Up a units: y -> y + a.Down a units: y -> y - a.

Comparing the equivalent vertices, the translations for this problem are given as follows:

9 units right.1 unit down.

Hence the algebraic rule for the translation in this problem is given as follows:

(x,y) -> (x + 9, y - 1).

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The mean of a, 31, 42, 65, and b is 51.  The greatest number is 67 more than the least number.  What are the missing numbers? Please explain.

Answers

Answer:

a=25

b=92

Step-by-step explanation:

Because the average of the five numbers is 51, the sum of the five numbers is 255.

a+b+73+65=255

138+a+b=255

a+b=117

a+67=b

Therefore,

a=25

b=92

Feel free to tell me if I made a mistake! :)

Graph this line using the slope and y-intercept:
y = 4x - 10

Answers

Answer:

-10

Step-by-step explanation:

The required y-intercept of the line y = 4x - 10 is -10.

What is the intercept in the equation?

In the equation, the intercept is the value of the linear function where either of the variables is zero.

Here,

The equation y = 4x - 10 is in slope-intercept form, where the coefficient of x is the slope of the line, and the constant term is the y-intercept.

So, the y-intercept of the line y = 4x - 10 is -10. This means that the line intersects the y-axis at the point (0,-10). When x is 0, the value of y is -10, which is the y-intercept.

Thus, the required y-intercept of the line y = 4x - 10 is -10.

Can you solve the hcf of 20and 10

Answers

The HCF (highest common factor) of 20 and 10 is 10.

To determine the 20 and 10's highest common factor (HCF).

We must identify the highest number that can divide both 20 and 10 without producing a remainder in order to determine the HCF.

1, 2, 4, 5, 10, and 20 are the variables that make up 20.

1, 2, 5, and 10 make up the number 10.

The biggest element that both 20 and 10 have as a shared component is 10.

The HCF of 20 and 10 is hence 10.

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please help i don’t feel like typing

Answers

Answer: q=13

Step-by-step explanation:

add the separate the q, add 4 to the 9= 13

13=q

A restaurant makes smoothies in batches of 12.5 litres.
The smoothies are made from ice cream and a mixed fruit
juice in the ratio 3 : 2.
34% of the juice is apple juice.
Work out the maximum number of batches of smoothie that
can be made from 51 litres of apple juice.

Answers

Answer: If 34% of the mixed fruit juice is apple juice, then 66% of it is a combination of other fruit juices. We can assume that the ratio of apple juice to other fruit juices remains the same in the ice cream and mixed fruit juice mixture.

Let the volume of ice cream in each batch be 3x litres and the volume of mixed fruit juice be 2x litres. Then the total volume of mixture in each batch is 5x litres.

If 34% of the mixed fruit juice is apple juice, then the volume of apple juice in each batch is 0.34 × 2x = 0.68x litres. The volume of other fruit juices in each batch is 2x − 0.68x = 1.32x litres.

The ratio of ice cream to mixed fruit juice is 3 : 2, so we have:

3x : 2x = ice cream : mixed fruit juice

Simplifying, we get:

ice cream = 1.5 × mixed fruit juice

Substituting the values we obtained earlier, we have:

3x = 1.5 × 2x

x = 0.75

Therefore, the volume of ice cream in each batch is 3x = 2.25 litres, and the volume of mixed fruit juice is 2x = 1.5 litres.

To make 1.5 litres of mixed fruit juice, we need 0.68 litres of apple juice and 0.82 litres of other fruit juices.

To make 12.5 litres of smoothies, we need 2.25 litres of ice cream and 10.25 litres of mixed fruit juice. Of this, 0.68 litres is apple juice and 9.57 litres is other fruit juices.

Therefore, to make 12.5 litres of smoothies, we need 0.68/1.5 × 12.5 = 5.67 litres of apple juice.

To make 51 litres of apple juice, we can make a maximum of 51/5.67 ≈ 9 batches of smoothies.

Other Questions
You want to study the oxygen binding ability of hemoglobin at pH 7.21 and pH 7.60. You decide to use a phosphate buffer.a) How would you make up 500 ml of 50 mM phosphate buffer, pH 7.21, starting with 1.00 M H3PO4 and either 10.0 M HCl or 10.0 M NaOH?b) How would you make up 500 ml of 50 mM phosphate buffer, pH 7.60, starting from your 50mM phosphate buffer at pH 7.21? You are setting up a small home network. You want all devices to communicate with each other. You assign ipv4 addresses between 192. 168. 0. 1 and 192. 168. 0. 6 to the devices. What processes must still be configured so that these nodes can communicate with the internet? Prove or disprove: If the columns of a square (n x n) matrix A are linearly independent, so are the rows of A3AAA A circle with circumference 72 is divided into 10 congruent sectors. Find the area of two sectors. Round to the nearest tenth Using the theory of Supply and Demand, which of the following would we predict:A) We observe prices increasing after we observe some change that might create a shortage.B) We observe prices increasing after we observe some change that might create a surplus.C) We observe prices decreasing after we observe some change that might create a shortage.D) We observe a shortage after we observe some change that creates a price increase. utilitarians generally do not include non-human animals into their calculations on the greatest good for all concerned. group of answer choices true false previousnext T/F: information-processing theorists disagree with piaget about his description of their children's behavior during middle childhood but agree with his explanation of behavior. the process of converting food into energy is called Which of the following is false about cardiac troponin I (cTnI) as it relates to AMI?A. Increase above reference interval seen in 3 to 6 hoursB. Measure initially and serially in 3 to 6 hour intervalsC. Remains elevated 5 to 10 daysD. Expressed in regenerating and diseased skeletal muscle and cardiac muscle disorders find all zeros of the function and write the polynomial as a product of linear factors calculator 4.2 g of FeCl3 were obtained by evaporating of 100 mL of FeCl3 solution. What was the molar concentration of the solution? Mr(FeCl3) = 162.a) 2.6 mol/Lb) 0.26 mol/Lc) 4.2 mol/Ld) 0.026 mol/Le) no answer is correct Which of the following statements is most accurate regarding the future of the radical left in the United States?A. The modern mass fervor on the left, including civil rights and Black Power movements, will spawn continued social violenceB. Radical Marxism is, and will remain, a significant cause of political violence in the U.S.C. Radical environmentalists, anarchists, and other single-issue extremists are likely to engage in sporadic violent incidentsD. All of these Work in Research and Development includes all of the following activities except:A. Filing for various permissions with governmental agenciesB. Animal studiesC. AdvertisingD. Laboratory experimentationE. Research involving Human Subjects A 10 m wide river is flowing south at 3 m/s and you you swim at and angle of 30 degrees north of directly east at 1 m/s. How far do you drift up stream or down stream from your starting point once you reach the other side? lifespan development theory that states the difference between the immature and mature being is simply one of amount or complexity Birefringence is discussed in Section 33.5 and the refractive indexes for the two perpendicular polarization directions in calcite are given. A crystal of calcite serves as a quarter-wave plate; it converts linearly polarized light to circularly polarized light if the numbers of wavelengths within the crystal differ by one-fourth for the two polarization components. For light with wavelength 589nm in air, what is the minimum thickness of a quarter-wave plate made of calcite? When Okonkwo kills Ezeudus son, it is considered a feminine crime because _____.it occurred during a feastEzeudus son belonged to another villageit was inadvertentEzeudus son had no titles Letr(t)=sin t,cos t,4 sin t+3 cos 2t.Find the projection of r(t) onto the xzplane for1x1.(Enter your answer as an equation using the variables x,y, and z.) The Pie-chart given below shows the changing trends in the recreational activities of children of two different generations. You are disturbed at very little importance given to book reading, followed by sports and games which are mostly indoors resulting in poor health and stamina. You decide to write a letter to the Editor of 'The Herald Tribune', New Delhi on this issue, suggesting ways and means to improve the condition. Sign yourself as Malavika/Manas, a Health Specialist from New Delhi and write the letter in about 120 words. 1960-198040% Book- reading 10% gadgets 50% Sports and games (Outdoor) 1990-2010 Gadgets 60% 10% Book reading 30% Sports and games (Indoor) when should a manager most likely use negotiation as a technique for reducing resistance to organizational change?