HELPPPPPPPP! please!
Select all the statements that are true for any value of x.
A. 7x + (2x + 7) = 9x + 7
B. 7x + (2x - 1) = 9x + 1
C. 1/2x + (3 - 1/2x) = 3
D. 5x – (8 - 6x) = -x - 8
E. 0.4x - (0.2x + 8) = 0.2x - 8
F. 6x - (2x - 4) = 4x + 4

Answers

Answer 1

The statements that are true for any value of x are

A. 7x + (2x + 7) = 9x + 7C. 1/2x + (3 - 1/2x) = 3E. 0.4x - (0.2x + 8) = 0.2x - 8F. 6x - (2x - 4) = 4x + 4

How to determine the true statements?

The equations are given as

A. 7x + (2x + 7) = 9x + 7

B. 7x + (2x - 1) = 9x + 1

C. 1/2x + (3 - 1/2x) = 3

D. 5x – (8 - 6x) = -x - 8

E. 0.4x - (0.2x + 8) = 0.2x - 8

F. 6x - (2x - 4) = 4x + 4

Next, we solve one side of the equations and then compare them with the other side

So, we have the following representations

A. 7x + (2x + 7) = 9x + 7

Evaluate

9x + 7 = 9x + 7 --- true

B. 7x + (2x - 1) = 9x + 1

Evaluate

9x - 1 = 9x + 1 --- false

C. 1/2x + (3 - 1/2x) = 3

Evaluate

3 = 3 --- true

D. 5x – (8 - 6x) = -x - 8

Evaluate

11x - 8 = -x - 8 --- false

E. 0.4x - (0.2x + 8) = 0.2x - 8

Evaluate

0.2x - 8 = 0.2x - 8 --- true

F. 6x - (2x - 4) = 4x + 4

Evaluate

4x + 4 = 4x + 4 -- true

Hence, the true statements are (a), (c), (e) and (f)

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Related Questions

The variables a, b, c, and d are graphed on the number line shown.
Use the number you answer the questions in the chart

Answers

The correct values are;

⇒ a - d = - 2

⇒ c - a = 7

⇒ b - c = - 8

⇒ d - c = - 5

What is Number line?

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

Given that;

The number line is shown in figure.

The values are,

a = - 3

b = - 4

c = 4

d = - 1

Now,

All the values are find as;

⇒ a - d = - 3 - (- 1)

           = - 3 + 1

           = - 2

⇒ c - a = 4 - (-3)

           = 4 + 3

           = 7

⇒ b - c = - 4 - 4

           = - 8

⇒ d - c = - 1 - 4

           = - 5

Thus, The correct values are;

⇒ a - d = - 2

⇒ c - a = 7

⇒ b - c = - 8

⇒ d - c = - 5

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A scientist polls 40 people, asking if they would participate in a study. 55% say yes. How many people said yes

Answers

Answer:

22 people

Step-by-step explanation:

First, let's convert the percentage into a decimal so we can multiply the two.

55% = 0.55

Next, we'll multiply 40 times 0.55. This is so we can find the amount of people who said yes. (55% of people said yes.)

0.55*40 = 22

22 people said yes.

help meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeeehelp meeeeeeeeeeeeeeee pleaseeeeeee

Answers

Answer:

t = 11.7

Step-by-step explanation:

                  r

A = P (1 + -------)^(nt)

                  n

A = 5000 = (2500 × 2)

P = 2500

n = 2

t = ?

                               0.06

5000 = 2500 (1 + ----------)^(2)(t)

                                 2

                               0.06

5000 = 2500 (1 + ----------)^(2)(t)

÷2500  ÷2500         2

             0.06

2 = (1 + ----------)^(2)(t)

               2

                               0.06

log₁₀ 2 = log₁₀ (1 + ----------)^(2)(t)

                                 2

                                                              0.06

log₁₀ 2                          = 2t × log₁₀ (1 + ----------)

                                                                 2

                 0.06                                  0.06

÷ log₁₀ (1 + ----------)        ÷ log₁₀ (1 + ----------)  

                    2                                     2

            log₁₀ 2

-----------------------------   =   2t

                0.06

log₁₀ (1 + -------- )

                 2

                  log₁₀ 2

(1/2)  -----------------------------   =   2t (1/2)

                  0.06

   log₁₀ (1 + -------- )

                     2

           

(1/2) 23.44977225  =   2t (1/2)

       11.72488613 = t

        11.7 ≈ t

I hope this helps!

The selling price for a classic speedboat is $12,000, which is $2500 less than two times its original price. What was the original price of the speedboat?

Answers

Answer: 29000

Step-by-step explanation:

12000 + 2500 = 14500

14500 * 2 = 29000

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below? On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (3.5, 3), and goes through (6, 0). Group of answer choices x – 3 x + 1 x – 1 x + 3

Answers

The answer choice which must be a factor of the polynomial in discuss is; (x - 1).

What must be a factor of the polynomial as described?

It follows from the vertex form equation of a parabola; f(x) = a ( x - h )² + k where the vertex of the parabola is; (h, k).

Therefore, the equation of the parabola in discuss is;

f(x) = a (x - 3.5)² + 3.

Recall that the x coordinates of the vertex, h is given by; h = (p + q) / 2

where p and q are the zeroes of the quadratic function.

Therefore, since one of the zeroes is given as; 6 ( from (6, 0) ); it follows that the second zero can be determined as follows;

3.5 = ( 6 + q ) / 2

7 = 6 + q

q = 1

Therefore, since the second zero is; 1. It follows that the associated factor as required is; ( x - 1 ).

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If a certain electromagnetic wave has a wavelength of 100m, what type of electromagnetic wave is it?

Answers

Answer: Radio

Step-by-step explanation:

An electromagnet wave with a wavelength of 100m is a Radio. These signals are invisible to the human eye, humans are only able to detect visible light.

Evaluate

15 ÷ (3+1/3) ²

Answers

Answer:

[tex]\dfrac{27}{20}[/tex]

Step-by-step explanation:

First, convert both numbers into fractions:

[tex]\dfrac{15}{1} \div \left(\dfrac{10}{3}\right)^2[/tex]

Then, apply the exponent of the second fraction in parentheses to its numerator and denominator.

[tex]\dfrac{15}{1} \div \left(\dfrac{10^2}{3^2}\right)[/tex]

[tex]\dfrac{15}{1} \div \dfrac{100}{9}[/tex]

Finally, multiply the first fraction by the reciprocal of the second fraction.

(Skip, Flip, Multiply)

[tex]\dfrac{15}{1} \times \dfrac{9}{100}[/tex]

[tex]\dfrac{135}{100}[/tex]

And simplify.

[tex]\dfrac{135 \div 5}{100 \div 5}[/tex]

[tex]\dfrac{27}{20}[/tex]

how much does a basket of apples weigh

Answers

Answer:

42-48 pound" number.

Step-by-step explanation:

I need help please help me

Answers

Answer:

GM = 18

Step-by-step explanation:

JK = KL = 2

GJ = LM =7

GM = 7+2+2+7 = 18!

So the answer it is 18.

Math Please help!!!!! Linear vs Exponential

Answers

Answer:

linearadditivelycommon differenceabout 240.12

Step-by-step explanation:

Given the values in the table, you want to know if they represent a linear or exponential relation, along with the common difference or ratio, as applicable.

Changes

The first attachment shows the differences and ratios between successive table values. Neither the differences nor the ratios are constant. The wide variation in ratios and the relatively smaller variation in differences suggests the table is best modeled by a linear function.

Changes when the function is linear are additive. That is, the function values have a common difference.

Common difference

The average difference between table values is (949.92 -229.44)/3 = 240.16. A linear regression analysis gives a slope of 240.12 as the "best fit" to the table values.

You can see from the first attachment that the differences are not constant, so there isn't really a common difference. The difference is approximately 240.12.

__

Additional comment

The second attachment shows linear and an exponential regression applied to this data. The residuals are much smaller for the linear approximation.

The slope of the line (common difference) is estimated at 240.12 using the regression formula. This makes the mean square residuals a minimum. As we show above, this slope is different (slightly lower) than the slope of the line through the first and last data points.

Rewrite in simplest terms:

6
(
6
p

9
)

10
p
−6(6p−9)−10p

Answers

Answer:

Step-by-step explanation:

6(6p-9)-10p-6(6p-9)-10p

36p-54-10p-36p+54-10p

36p-36p-54+54-10p= -10p

A bakery can make 640 bagels in 4 hours how many can it make in 8 hours and 6 hours.PLEASE HURRY UP THIS IS DUE IN 10 MINUTES <3333

Answers

Hello!

What does this problem want:

how many bagels in 8 hourshow many bagels in 6 hours

What we need to find: rate of bagels made per hour

    [tex]\text{Rate}=\frac{\text{Total number of bagels}}{\text{Number of hours}} =\frac{640}{4} =160 \text{ bagels per hour}[/tex]

Thus

how many bagels in 8 hours

                 8 * 160 = 1280 bagels

how many bagels in 6 hours

                6 * 160 = 960 bagels

Hope that helps!

What number represents 3,675,100,608 rounded to the nearest million?

Answers

The number 3,675,000,000 represents 3,675,100,608 rounded off to the nearest million.

Rounding off large numbers.

When we round off large numbers, we consider the digit to the right of the number occupying the place value for which we are rounding off to. If the digit to the right is 4 or less, we round down (we leave the number we are rounding to), but if the digit is 5 or higher, we round up (we increase the digit we are rounding by 1). and thus round to the indicated place value.

From the question, we have the large number;

3,675,100,608

the digit 5 indicates the place value (million)

and the digit 1 is to the right and will be rounded down.

Therefore, the number 3,675,000,000 represents 3,675,100,608, rounded to the nearest million.

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Is (x + 7) a factor of f(x) = x3 − 3x2 + 2x − 8? Explain your reasoning.

Answers

X + 7 is not a factor of [tex]x^{3}[/tex] -3[tex]x^{2}[/tex] +2x -8 because it gives a remainder when x + 7 divides it.

What is a remainder?

The remainder is the portion of the dividend that cannot be fairly divided by the divisor. After dividing whole numbers to find the quotient, the part that is left is called the remainder.

to know if x + 7 is a factor, x = -7 when substituted should give 0 as a remainder otherwise it is not a factor.

By substituting x = -7 we have

[tex](-7)^{3}[/tex] [tex]-3(-7)^{2}[/tex] +2(-7) - 8 = -343 -147 -14 - 8  which is -512

Therefore x + 7 is not a factor of the function.

In conclusion x + 7 is not a factor of [tex]x^{3}[/tex] -3[tex]x^{2}[/tex] +2x -8

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Answer:

What he said!

Step-by-step explanation:

The equation of line u is y–3=7(x–5). Parallel to line u is line v, which passes through the point (1,9). What is the equation of line v?

Answers

Answer:

y - 9 = 7(x - 1)

Step-by-step explanation:

The given equation is in Point Slope Form:  y - y₁ = m(x - x₁)

m is the slope, and parallel lines have the same slope (7)

x₁ and y₁ are the coordinates of a point on the line

Jackson’s motorcycle gets 28 kilometers per liter. He drives 336 kilometers and gas is $1.43 per liter. Complete parts (a) and (b) below.

(A) how much does the gas used for the trip cost?
-round to the nearest cent as needed-

(B) how many miles per gallon does Jackson’s motorcycle get?
-round to the nearest cent as needed-

Answers

The gas for the Trip cost is $8.39

The amount of gas motorcycle needed is 12 Liter of gas.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Jackson’s motorcycle gets 28 kilometers per liter.

He drives 336 kilometers and gas is $1.43 per liter.

The amount of gas motorcycle needed

= 336/28

= 12 Liter of gas

and, The gas for the Trip cost = 12/1.43

                                                  = $8.39

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Realice los siguientes ejercicios de lenguaje algebraico
Considerando que Soraya tiene x naranjas
Considerando que y es la edad de José.

Answers

Las expresiones algebraicas que completan la tabla son 200+x, 2(200+x), 650+ 2(200+x),  y -5, y+ 10, y+8, 75- y

¿Qué es el lenguage algebraico?

El lenguaje algebraico es simbólico es decir se expresa mediante consonantes o vocales, el lenguaje algebraico nos permite expresar de manera sencilla y practica el valor desconocido de una determinada cantidad.

¿Cómo se expresan los enunciados dados?

A partir de la información dada es decir  "x" naranjas y "Y" que es la edad de José vamos a expresar las respuestas en lenguaje algebraico.  Para esto se debe relacionar la x o y con el valor dado y el signo matemático correspondiente:                                                

Luis tiene 200 naranjas mas que Soraya  =  200+x

Susana tiene el doble de Luis  = 2(200+x)

Juan tiene 650 naranjas mas que susana   = 650+ 2(200+x)

Considerando que Y es la edad de José

Los años que tenia hace 5 años = y -5

Los años que tendrá en 10 años  = y+ 10

Los años que tendrá dentro de 8 años = y+8

Los años que faltan para que cumpla 75 años = 75- y

Podemos concluir que el lenguaje algebraico nos permite representar de manera practica un valor desconocido y de igual manera obtener respuestas practicas y sencillas a partir de variables.

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I need help in this 8th grade only part B and D

Answers

a) The first term of the sequence is; ³¹/₆

b) The term to term rule is; aₙ = ³¹/₆ + (n - 1)²/₆

c) The next three terms are; ³⁷/₆, ³⁹/₆, ⁴¹/₆

d) The 10th term in the sequence is; a₁₀ = ⁴⁹/₆

How to find the nth term of a sequence?

The first term of the sequence is given by the expression;

2 ÷ ¹²/₃₁ = ³¹/₆

The second term of the sequence is given by the expression;

3 ÷ ⁶/₁₁ = ³³/₆

The third term of the sequence is given by the expression;

5 ÷ ⁶/₇ = ³⁵/₆

These are the first three terms of a sequence and so the sequence is;

³¹/₆, ³³/₆, ³⁵/₆,....

d = ³³/₆ - ³¹/₆ = ²/₆

Thus, term to term rule is given by the nth term of an arithmetic progression;

aₙ = ³¹/₆ + (n - 1)²/₆

The next three terms are; ³⁷/₆, ³⁹/₆, ⁴¹/₆

The 10th term in the sequence is;

a₁₀ = ³¹/₆ + (10 - 1)²/₆

a₁₀ = ³¹/₆ + ¹⁸/₆

a₁₀ = ⁴⁹/₆

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What are the steps to answer this question 5x60=5xtens

Answers

Answer: 12

Step-by-step explanation:

       1 2  

   5 ⟌ 6 0  

     - 5    

       1 0  

     - 1 0  

         0  

The radius of a cone is 2.5 units. The volume of the cone is 19 cubic units

Answers

The formula for the volume of a cone is given by the following equation:

V = 1/3 * π * r2 * h

where V is the volume of the cone, r is the radius of the cone, and h is the height of the cone.

In this case, we are given that the radius of the cone is 2.5 units and the volume of the cone is 19 cubic units. We can use this information to complete the expression that represents the height of the cone as follows:

V = 1/3 * π * r2 * h

19 cubic units = 1/3 * π * 2.5 units2 * h

19 cubic units = 1/3 * π * 6.25 units2 * h

19 cubic units = 1/3 * 19.63 units2 * h

19 cubic units = 6.54 units2 * h

h = 19 cubic units / 6.54 units2

h = 2.9 cubic units / 6.54 units

Therefore, the expression that represents the height of the cone is 2.9 cubic units / 6.54 units.

If 3(x + 5) + 2 = 5, what is the value of x?

Answers

Answer:

-4

Step-by-step explanation:

3x+15+2=5

3x=-15-2+5

3x=-12

x=-12/3

x=-4

Answer:

x=-4

Step-by-step explanation:

Given:

[tex]3(x+5)+2=5[/tex]

To find:

The value of x.

Explanation:

It is given that,

[tex]3(x+5)+2=5[/tex]

That implies,

[tex]3(x+5)+2=5\\3x+15+2=5\\3x+17=5\\3x=5-17\\3x=-12\\x=-\frac{12}{3} \\x=-4[/tex]

Hence, the value of x is -4.

11. Ms. Still is ordering pizza and breadsticks for a school pizza party and has a budget of no more than
$91. An order of breadsticks, x, costs $7 and a pepperoni pizza, y, costs $13.
a. Write a linear inequality that describes the situation.
b. Graph the situation. Label the axes.
c. Is (5, 5, 4) a solution to the inequality? Does this oved pair make sense for this situation? Explain.

Answers

The inequality that represents the situation given will be  

7x + 13y ≤ 91.

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

The inequality that represents the situation given will be  7x + 13y ≤ 91.

From the information given, Crawford is ordering pizzas and breadsticks for a school pizza party and has a budget of $91, but no more and an order of breadsticks costs $7 while a pepperoni pizza costs $13.

Therefore, the inequality that represents the situation given will be  

7x + 13y ≤ 91.

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solve 3x+1=-5 by graphing. then find the x- and y-intercepts

Answers

The graph of the equation is shown below

The x-intercept is -2

The y-intercept is undefined

Graph of linear equations and determining the intercepts

From the question, we are to solve the equation by graphing and determine the x- and y-intercepts

The given equation is

3x + 1 = -5

To determine the x-intercepts, we will solve the equation

3x + 1 =-5

3x = -5 - 1

3x = -6

Divide both sides by 3

x = -2

Since, y is not defined in the equation, the y-intercept is undefined

The graph of the equation is shown below.

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The area of the smaller regular pentagon is about 27.5 cm².
What is the best approximation for the area of the larger regular pentagon?
11cm²
172 cm²
70 cm²
275 cm²

Answers

Answer:172 cm²

Step-by-step explanation:

when we use the formula, and we can  solve out is like 172.05 and round to tenth and will have the answer

Formula is 1/2 × p × a  

what is [tex]\sqrt{49}[/tex]

Answers

The square root of 49 is 7

Answer:7

Step-by-step explanation:

What it is asking you is what multiplied by it self gets you to 49. the answer would be 7 because 7*7=49

f(x)=1/2x+8 reflect x axis

Answers

The function of reflect x-axis is g(x) =  -(1/2)*x - 8, according to the question.

What do you mean by function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

According to the given question,

First, let's define a reflection over the x-axis.

If we have a point (x, y) and we reflect it over the x-axis, our new point will be (x, -y).

Now, when we have a function

f(x) = y, the points can be written as:

(x, y = f(x) ) = (x, f(x))

Then, after the reflection over the x-axis, we have:

(x, y = g(x)) = (x, -f(x))

So now we have g(x) = -f(x)

and we know that f(x) = (1/2)*x + 8

then our new function is g(x) =  y = -f(x) = -( (1/2)*x + 8) = -(1/2)*x - 8.

g(x) =  -(1/2)*x - 8.

Therefore, the required answer is g(x) =  -(1/2)*x - 8.

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Solve 4x - 3 = 17
x = ?…

Answers

Answer: x=5

Step-by-step explanation:

4x-3=17 Add three to both sides

4x=20 Divide both side by 4 to isolate x

x=5

Follow the order of operations.

4x - 3 = 17

Add 3 to both sides.

4x = 20

Divide 4 from both sides.

X = 5.

30+ w =150 what does w equal?​

Answers

Subtract 30 from both sides to isolate w

30-30+w=150-30

w=120

We can substitute w=120 back into the equation to check it:

30+(120)=150



How many real solutions does the system have ? y = - 3x - 1; y = x ^ 2 - 3x + 4

Answers

The only solution the system of the equation has is x = -1/3.

The number of solutions is one.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

The system of equations:

y = -3x - 1

y = x² - 3x + 4

The solutions of the equation.

y = 0

So,

-3x - 1 = 0

-3x = 1

x = -1/3

x² - 3x + 4 = 0

It is in the form of ax² + bx + c = 0

a = 1, b = -3, and c = 4

Now,

x = -b ± √(b² - 4ac) / 4a

x = 3 ± √(9 - 16) / 4

x = 3 ±√-7 / 4

x = 3 ±i√7 / 4

This is a complex root.

So,

These are not real solutions.

Thus,

The only solution the system of the equation has is x = -1/3.

The number of solutions is one.

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Owen went to Best Buy to purchase a new laptop. He put a down payment of $200 and will pay $75 each month until he pays it off. Use the
formula p= 200 + 75c to identify which statement below is false.

The ‘p’ is represented as the dependent variable

The ‘c’ represents the number of months

The independent variable is 75

The ‘c’ is represented as the independent variable

Answers

Owen went to Best Buy to purchase a new laptop. He put a down payment of $200 and will pay $75 each month until he pays it off. Use the

formula p= 200 + 75c to identify which statement below is false.

The ‘p’ is represented as the dependent variable [true]

The ‘c’ represents the number of months [true]

The independent variable is 75 [FALSE]

The ‘c’ is represented as the independent variable [true]

“The independent variable is 75” would be false because 75 is not a variable. A variable is a letter with a hidden value.
Other Questions
what is temperature? (need a long explanation) the estimate of uncollectible accounts is based on all of the following except a.industry averages. b.forecasts of the future. c.past experience. d.monthly cash expenses. a client with leukemia undergoes a bone marrow biopsy. the client's laboratory values indicate the client has thrombocytopenia. based on this data, which nursing assessment is most important following the procedure? by what number do we multiply the initial enrollment to get the enrollment one decade later given a 30 % increase Preganglionic sympathetic fibers typically synapse with sympathetic chain ganglia unless they pass through, forming ________________ nerves that instead enter collateral ganglia. GTo visualize means to place information intoa. A poemb.A categoryOAOBPlease select the best answer from the choices providedODc. An imaged.Mark this and returnNone of theseSave and ExitNextSub a hand of 13 cards is dealt at random from a bridge deck of 52 cards. find the probability that the hand contains 4 queens. (round your answer to four decimal places.) one major difference between mainstream and ecological economics is that mainstream economics assumes that waste can be disposed of in a system. Across2. Por qu necesitan estudiar tanto ellos? Porque ________aprender, por supuesto!3. Qu comidas pueden cocinar Uds.? i________cocinar todas las comidas!5. Maira y Annie________entender ruso? S,claro! Ellas pueden entender y hablar ruso.7. Vas a pasar tiempo con tus amigos pronto? S,___________a almorzar con ellos hoy.8. Qu necesita hacer Lauren para la clase de ingls?__________ver una pelcula. in 2016, your enterprise issued an end-of-life notice for a product. in 2020, an end of service notice was issued for the same product. what does this mean which types of mechanoreceptors allow one to read braille (raised dots that enable a blind person to read text)? Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.Create a proportion using the form = to represent the following word problem.15 is 1% of what number? what is the most likely reason that the bones of a mesosaurus are found on the eastern coast of south america and on the western coast of africa? which of the following is true regarding interferons? they do not protect the cell that secrets them their role is in the synthesis of antiviral proteins they cause muscle aches, chills and fever all of the above are true. if property rights are enforced and contracts in trade are legally respected, it is usually assumed that: A liquid of density 1330 kg/m3 flows steadily through a pipe of varying diameter and height. at location 1 along the pipe, the flow speed is 9.85 m/s and the pipe diameter ????1 is 10.1 cm. at location 2, the pipe diameter ????2 is 17.5 cm. at location 1, the pipe is y=9.15 m higher than it is at location 2. ignoring viscosity, calculate the difference P between the fluid pressure at location 2 and the fluid pressure at location 1. a dna restriction enzyme cuts dna at a specific sequence. if a restriction enzyme that cuts at the dna sequence gaattc were used on the dna strand below, and the resulting fragments were put through electrophoresis, how many bands would appear on the electrophoresis gel? Since 2009 the number of smartphones shipped from manufacturers to stores around the world has increased exponentially. The growth from 2009 through 2015 can be modeled using the function G (t) = 174 . 1.67^t where t is the number of years singe 2009 and G (t) is measured in millions of smartphones.Use this information and your knowledge of exponential and logistic growth to explore the mathematical concepts in the questions below. How many moles of CuFeS2 areused to produce 16 moles Cu?2CuFeS2 + 502 2Cu + 2FeO + 4SO2?] mol CuFeS2 PLEASE HURRY! I WILL GIVE BRAINLIEST TO THE PERSON WHO GIVES THE RIGHT ANSWER! DO NOT SPAM OR I WILL REPORT! 2300 dollars is placed in an account with an annual interest rate of 5.5%. To the nearest tenth of a year, how long will it take for the account value to reach 4300 dollars?