10 - 2(4 + 12x)

pls give me an equation answer, not the solution!!!

Answers

Answer 1

Answer:

-2 ( 12x - 1 )

Step-by-step explanation:

1) Simplify the equation

To simplify the equation, we have to get rid of any brackets. To do this multiply the term to left of it with everything inside the bracket

-2 x 4 = -8-2 x 12x = -24x

Now we can plug these numbers into our equation

2) Collect like terms

The equation we are left with from the previous step would be 10-8-24x

The terms that are similar are 10 and -8.

To collect like terms simplify the terms down to one term

10 - 8 = 2

3) Find common factor and simplify

What we are left with from the previous step is -24x+2

To find the common factor you have to find a number that goes it both numbers which for 2 and 24 would be 12.

-24x ÷ 2 = -12x2 ÷ 2 = 1We are left with -2 ( 12x - 1 )

Hope this helps, have a great day!


Related Questions

Which expression is equal to 14y−17+512y+6 , expressed in simplest form?

Answers

Answer:

526y-11

Step-by-step explanation:

14y-17+512y+6=526y-11

Answer:

Option (C)

Step-by-step explanation:

To simplify an expression, we can combine like terms. For this expression, there are two pairs of like terms, one-fourth y and five-twelfths y, and the constants negative seventeen and six.

To combine the fractions, we can find the least common denominator, twelve, so we can rewrite the fraction as three-twelfths.

Now combine the like terms to get eight-twelfths y minus eleven, which simplifies to two-thirds y minus eleven.

Write each as an algebraic expression.

10) the product of 10 and a number n

12) the difference of 19 and a number n

14) The product of 7 and the sum of × and 2

15) The difference of 11 and the quotient of x and 3

11) the sum of a number n and 5

13) a number n squared

Answers

Answer:

10) 10n

12) 19-n

14) 7(x+2)

15) x/3 -11

11) n+5

13) n^2

Step-by-step explanation:

product = multiply

difference= subtract

sum = add

quotient = divide

Answer:

lo siento soy nuevo en este aplicación ay mis sierras disculpas

Given RWS~TUV find the values of x and y

Answers

For the given measurement of the congruent triangles RWS and TUV, the value of x = 4° and y = 10 units.

As given in the question,

For the given congruent triangles,

ΔRWS ≅ ΔTUV

⇒ RWS ↔ TUV

⇒RW ≅TU , RS ≅TV , WS ≅ UV

And ∠W ≅ ∠U , ∠R ≅ ∠T , ∠S ≅ ∠V

Given measurements are :

m ∠W = 90°

m ∠R = ( 8x + 26)°

m ∠V = 32°

∠S ≅ ∠V

⇒ m ∠S = 32°

m ( ∠R + ∠W + ∠S ) = 180°

⇒ 8x° + 26° + 90° + 32° = 180°

⇒8x° = 180° -148°

⇒ x° = 32°/8

⇒ x= 4°

RS ≅TV

⇒30 = 2y + 10

⇒2y = 20

⇒y= 10 units

Therefore, for the given measurement of the congruent triangles RWS and TUV, the value of x = 4° and y = 10 units.

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A car travels at 80km/h. How many km does the car travel in 27 minutes

Answers

The car travels 36 km. Please see the following solution attached.

Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health hazard. Ten pairs ...

Answers

a) The hypothesis are given as follows:

Null: [tex]H_0: \mu_d \leq 0[/tex]Alternative: [tex]H_1: \mu_d > 0[/tex]

b) The significance level is of α = 0.1.

c) The test statistic is of: t = 4.86.

d) The p-value is of: 0.

What are the hypothesis tested?

At the null hypothesis, it is tested if there is not enough evidence that the mean level is greater at the bottom of the surface, that is, if the mean is not positive, hence:

[tex]H_0: \mu_d \leq 0[/tex]

At the alternative hypothesis, it is tested if there is enough evidence that the mean level is greater at the bottom of the surface, that is, if the mean is positive, hence:

[tex]H_1: \mu_d > 0[/tex]

As stated in the problem, the significance level is of:

α = 0.1.

How to calculate the test statistic?


The test statistic is calculated by the formula presented as follows:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The variables of this formula are listed as follows:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null and at the alternative hypothesis.s is the standard deviation of the sample.n is the sample size.

From the table, the sample is composed by the differences and given as follows:

0.015, 0.028, 0.177, 0.121, 0.102, 0.107, 0.019, 0.066, 0.058, 0.121.

The above sample is inserted into a calculator, to obtain the parameter values given as follows:

[tex]\overline{x} = 0.0814, \mu = 0, s = 0.053, n = 10[/tex]

Hence the numeric value of the test statistic is given as follows:

t = (0.0814 - 0)/(0.053/sqrt(10))

t = 4.86.

What is the p-value?

Using a t-distribution calculator, considering a right-tailed test, as we are testing if the mean is greater than a value, with 10 - 1 = 9 df and t = 4.86, the p-value is of 0.

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Identify the vertical asymptotes and horizontal asymptote of each.

Answers

Vertical asymptotes is x = -4 and horizontal asymptote is y = 1

What is an Asymptote?

An asymptote is a line that a curve approaches but never touches. A line where the graph of a function converges is known as an asymptote.

There are 3 types of asymptotes.

Horizontal asymptote (HA) - It is a horizontal line and hence its equation is of the form y = k.Vertical asymptote (VA) - It is a vertical line and hence its equation is of the form x = k.Slanting asymptote (Oblique asymptote) - It is a slanting line and hence its equation is of the form y = mx + b.

The given expression,

f(x) = (x² - 3x) / (x² + x - 12)

First, find Horizontal asymptote

so,

Horizontal asymptote (y) = (leading coefficient of numerator) / (leading coefficient of denominator)

leading coefficient of numerator = 1

leading coefficient of denominator = 1

y = 1/1

y =1 (Horizontal asymptote)

Now, find Vertical asymptote

so, let's simplify the expression f(x) = (x² - 3x) / (x + x - 12)

f(x) = (x(x - 3) ) / (x² + 4x - 3x - 12)

f(x) = (x(x - 3) ) / (x(x + 4) - 3 (x + 4) )

f(x) = (x(x - 3) ) / ( (x -3) (x + 4) )

f(x) = x / (x + 4)

Now, put the denominator = 0

x + 4 = 0

x = -4 ( Vertical asymptote )

Hence, Vertical asymptotes is x = -4 and horizontal asymptote is y = 1

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Possible values for the area A of the rectangle shown are 12 ≤ A ≤ 36.
The rectangle sides are 2x+1 and 3
A compound inequality for this situation is 12 ≤
Choose...
≤ 36.
The solution to the compound inequality in Part A is
≤ x ≤
.

Answers

The compound inequality is 12 ≤ 6x + 3 ≤ 36. and the solution is 1.5  ≤ x ≤ 5.5

How to determine the compound inequality?

The compound inequality is represented as

12 ≤ A ≤ 36.

Such that

A represents the area of the rectangleThe sides of the rectangle are 2x+1 and 3

The area of the rectangle is calculated as

A = Product of the sides

So, we have the following representation

A = (2x + 1) * 3

Evaluate

A = 6x + 3

Substitute A = 6x + 3 in 12 ≤ A ≤ 36.

So, we have

12 ≤ 6x + 3 ≤ 36.

The solution to the inequality

In (a), we have

12 ≤ 6x + 3 ≤ 36

This gives

9 ≤ 6x ≤ 33

Divide by 6

1.5  ≤ x ≤ 5.5

So, the result is 1.5  ≤ x ≤ 5.5

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A group consisting of 42 aggressive zombies triples in size every hour. Which equation matches the number of zombies after 2 hours?

Answers

The equation that matches the number of zombies after 2 hours is z = 42 × 3².

What is an equation?

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, a group consisting of 42 aggressive zombies triples in size every hour.

Let the number of zombies be z.

Therefore, the equation that matches the number of zombies after 2 hours will be:

= 42 × 3^n

= 42 × 3²

= 42 × 9

= 378 zombies

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Help please thank you.

Answers

The equation of straight line plotted on the graph are all attached below

Graph of Straight Line

The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept. It is the most common form of the equation of a straight line that is used in geometry. The equation of a straight line can be written in different forms such as point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a two-dimensional geometrical entity that extends on both its ends till infinity.

For straight line graphs there is a linear relationship between the x and y values and so the line is straight and must be drawn with a ruler. The gradient determines how steep the line is and the y-intercept tells us the location where the straight line intersects the y-axis.

Linear means straight and a graph is a diagram which shows a connection or relation between two or more quantity. So, the linear graph is nothing but a straight line or straight graph which is drawn on a plane connecting the points on x and y coordinates.

Question 1;

The point is (-2, 5) and it has a slope of 2/3

We can find the y-intercept of the graph and then plot it's coordinate.

y = mx + c

5 = 2/3(-2) + c

c =19/3

The equation of the line is y = 2/3x + 19/3 or 3y = 2x + 19

We can proceed to use a graphing calculator to plot this.

Question 2;

The two given which the line pass across are (-2, -1) and (-3, 3)

Using a graphing calculator, the graph is attached below.

Question 3;

The equation 4x - 5y = 20 can be plotted as a straight line graph which is attached below.

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In a study of cell phone usage and brain hemispheric​ dominance, an internet survey was​ e-mailed to subjects randomly selected from an online group involved with ears. There were surveys returned. Use a 0. 01 significance level to test the claim that the return rate is less than​ 20%. Use the​ p-value method and use the normal distribution as an approximation to the binomial distribution.

Answers

The statistics z is -1.878 and the p value is 0.0302

Given,

Number of random sample selected, n = 6967

Number of surveys returned, x = 1331

Estimated proportion of return rate;

p = 1331/6967 = 0.192

Significance level, ∝ = 0.01

z would represent the statistic

We investigate the assertion that the return rate is less than 20%, and the following hypotheses are tested:

Null hypothesis, p₀ ≥ 0.2

Alternative hypothesis, p₀ < 0.2

The statistics, z = (p - p₀) / √(p₀(1 - p₀)/n)

That is,

z = (0.191 - 0.2) / √(0.2(1 - 0.2)/6967) = -1.878

Using the alternative hypothesis and the following probability, we can now get the p value:

p value  = p(z < - 1.878) = 0.0302

We fail to reject the null hypothesis when the p value exceeds the significance level of 0.01 and there is insufficient evidence to support the conclusion that the return rate is less than 20% at 1% of significance.

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please help i is super stuck!!!!!!!!!!!!!!!!!!!!!

Answers

There are a couple ways to solve this but I will show you the way I think is easiest:

You should make the fraction parts of the numbers have an equivalent denominator. Right now, the denominators are 10 and 5. It would be best to make both denominators equal 10.

In - 2 [tex]\frac{3}{5}[/tex],  3/5 x 2 = 6/10

So now the fractions are [tex]-10\frac{7}{10} - 2[/tex][tex]\frac{6}{10}[/tex]

Remember the sign rules!

The answer is - 13[tex]\frac{3}{10}[/tex]

I hope this helps!

Answer:

     [tex]-\frac{133}{10}[/tex]

Step-by-step explanation:

[tex]-10\frac{7}{10}[/tex] = [tex]-\frac{107}{10}[/tex]               (10x(-10)+7)

[tex]-2\frac{3}{5}[/tex] = [tex]-\frac{13}{5}[/tex]                   (5x(-2)+3)

lcm of 10 and 5 is 10:

[tex]-\frac{107}{10} -\frac{13}{5}[/tex]

[tex]\frac{-107-26}{10}[/tex]

[tex]-\frac{133}{10}[/tex]

Please mark as brainliest :)))))))))))))

What is the value of x?
Round to the nearest
tenths place.
13 ft
X
15 ft

Answers

Answer:

7.5 feet

Step-by-step explanation:

We can use the Pythagorean therom

x=square root of 15^2-13^2

x= square root of 225-169

x=square root of 56

x=7.5

Hopes this helps please mark brainliest

Select all triangles congruent to triangle 4.

Answers

Answer:

  1, 2, 4, 5

Step-by-step explanation:

You want triangles congruent to triangle 4.

Congruence

In this exercise, we can determine congruence using SSS congruence: the lengths of the sides in congruent triangles will match. (The order of appearance of the side lengths as you go around the triangle is irrelevant.)

Triangle 4

The lengths of the sides are ...

diagonal of 4×2 rectangle5 grid squaresdiagonal of 4×3 rectangle

Looking at the other triangles, we see side lengths of ...

Triangle 1

All side lengths match: congruent to 4.

Triangle 2

All side lengths match: congruent to 4.

Triangle 3

One side is 6 grid squares: not congruent.

Triangle 5

All side lengths match: congruent to 4.

Triangle 6

One side is 6 grid squares: not congruent.

Triangle 7

One side is the diagonal of a 3×2 rectangle: not congruent.

Triangle 8

One side is the diagonal of a 4×1 rectangle: not congruent.

__

Additional comment

Triangles 3 and 6 are congruent to each other, but not to triangle 4.

An arts and crafts store sells sheets of stickers. Use the table to write an equation you can use to find the total cost y in dollars for x sheets of stickers.​

Answers

The equation that can be use to find the total cost y in dollars for x sheets of sticker is y = 2.55x.

What is an equation?

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, it should be noted that a proportional relationship exist between the figures that are given.

Therefore, the constant will be:

= Cost / Number of sheet

= 12.75 / 5

= 2.55

Therefore, the equation is y = 2.55x

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What is the slope of the line

Answers

Answer:

The answer to this question is undefined or c

Step-by-step explanation:

A horizontal line has a slope of 0 because it does not go vertically and a vertical line has a slope of undefined because it does not go horizontally

y=mx+b is how to get slope, it’s infinite

wallpaper is sold on rolls that are 27 inches wide. Tazio needs to cover a wall that is 80 square feet. To figure out how many feet of wallpaper to buy, she will divide 80 by the width of the wallpaper roll in feet. how wide is the roll in feet?
please help asap tysm<3

Answers

The length of the wallpaper of 27 inches wide required is  35.56 feet

How to determine the length of the wallpaper required

The problem requires conversion of the dimensions to have similar unit

To convert 80 square feet to square inches. we multiply by 144

80 * 144 = 11520 square inches

area = length * wide

11520 = length * 27

length = 11520 / 27

length = 426.667 feet

to get the length in inches we divide the unit in feet by 12

length = 426.667 inches / 12

length = 35.56 feet

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HELP ASAP!! Josephine was building a community playground. The playground had to be fenced. The perimeter of the fence is 54 feet, and the width of the playground is 12 feet. Use the perimeter formula to find the length of his rectangular yard in inches: P = 2L + 2W. (1 foot = 12 inches)

15 in.
30 in.
42 in.
180 in.

Answers

Answer:

It is C

Step-by-step explanation:

HELP ME PLEASE, NEEDED ASAP

Answers

The anser to your question is X=-10

Answer:

a x=10

b x=7

Step-by-step explanation:

(a) 2(x+3) = x  -  4

    2x+6 = x - 4

    2x+6-6= x-4-6

    2x=x-10

     2x-x=x-10-x

    x=10

(b) 4(5x-2) = 2(9x+3)

     20x-8  =18x+6

     20x-8+8=18x+6+8

     20x=18x+14

     20x-18x =18x+14-18x
     2x=14

      /2  /2

     x = 7.

     

10 is the geometric mean between 23 and what other value? Round your answer to the tenths' place.

Answers

10 is the geometric mean between 23 and 4.35.

What is geometric mean?

The geometric mean is a type of average,  generally used for growth rates. Let c is the geometric mean of a and b, then c=[tex]\sqrt{ab}[/tex].

Given that,

The geometric mean of 23 and other value is 10.

Let the other value is x.

Use the geometric mean property,

G.M.=[tex]\sqrt{ab}[/tex]        (1)

Substitute the given values in equation (1)

10=[tex]\sqrt{23x}[/tex]

⇒x=100/23

⇒x=4.347

The geometric mean of 23 and 4.35 is 10.

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An Olympic sized swimming pool consists of 660,000 gallons of water. It is currently be drained at a rate of 2,000 gallons a second. Write an equation in slope-intercept form to model this relationship.

Answers

The equation in slope intercept form to model the relationship is:

y = 660,000x+2000

Given,

An Olympic sized swimming pool consists of 660,000 gallons of water.

It is currently be drained at a rate of 2,000 gallons a second.

we are asked to determine the equation in slope intercept form = ?

we know the slope intercept form is:

y = mx+c

based on the given conditions, we formulate:

y = 660,000x + 2000

Hence we get the required answer.

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The vertices of a figure are J(-4,1), K(-2,1), and L(-4,-3). Rotate the figure 90° clockwise about the origin. Find
the coordinates of the image.

ill add a graph if needed !! :)

Answers

The coordinates of figure and the coordinates of the image after rotation is as below

preimage        image

J(-4,1)               J' (1, 4)

K(-2,1)              K' (1, 2)

L(-4,-3)             L' (-3, 4)

What is rotation ?

Rotation is one the movements involve in transformation

In rotation, the objects moves about an axis in a circular direction

The transformation rule for 90 degrees clockwise rotation is

(x, y) → (y -x)

applying the rule gives the new coordinates of the image as

Image

J' (1, 4)

K' (1, 2)

L' (-3, 4)

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Please help me ASAP!!! Answer both questions for example: 1= C and 2= A

Answers

Answer:

x+4x=25

A: 0<x<=25 0<y<=75

Step-by-step explanation:

write a system of linear equations containing 2x+y=0 and that has the solution (2,-4)

Answers

The linear equation y = 5 · x - 14 is a possible equation that intercepts the line 2 · x + y = 0 at point (x, y) = (2, - 4),

What is the remaining equation of a system of linear equations?

To generate a system of linear equations, we need to derive an additional that intercepts the line 2 · x + y = 0 at point (x, y) = (2, - 4). We need to find an equation of the form:

y = m · x + b

Where:

m - Slopeb - Interceptx - Independent variable.y - Dependent variable.

Please notice that there are more than a single choice. First, choose the slope of the line:

m = 5

Second, substitute the slope and the independent and dependent variables:

b = y - m · x

b = - 4 - 5 · 2

b = - 14

Third, write the resulting linear equation:

y = 5 · x - 14

The linear equation y = 5 · x - 14 is a possible equation of the system of equations.

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Jada has 12 library books checked out and Han has 13less than that. How many books does Han have checked out?

Answers

Answer:

-1

Step-by-step explanation:

Jada = 12 books

Han = 13 less books than Jada

12-13= -1

Han would have negative 1 books but in this situation it would not be possible.

(ITS DUE TODAY)Find the slope of the line that passes through Point A (3,-7) and Point B (0,-3), using the formula m= y2-y1/x2-x1.

Answers

Answer:
The Slope is = -4/3

Sarah used 2. 5 cups of cheese in a dish that serves 10 people. Amyn used 1. 6 cups of cheese in a dish that serves 8 people. How much more cheese is in one serving of sarah’s dish?.

Answers

Answer: In one serving of Sarah's dish 0.05 more cheese than in one serving of Amyn's dish.

Given: Sarah used cups of cheese in a dish that serves people and  Amyn used cups of cheese in a dish that serves people.

Now, the amount of cheese served by Sarah for a people is.

And the amount of cheese served by Amyn for a people is

Therefore, the difference between the amount of cheese served by Sarah and Amyn is calculated as

Cheese served by Sarah's in one serving  cheese served by Amyn's in one serving              

Hence, 0.05 more cheese is in one serving of Sarah's dish.

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Step-by-step explanation:

if f(x)=-3x+9, find the value of 3f (2)-2f(0)
im gonna cry some1 pls help me

Answers

f(2)= -3(2)+9 = 3
f(0)= -3(0)+9 = 9

3f(2)-2f(0)
= 3(3)-2(9)
= -9

help please and thankyou 3

Answers

The trigonometric function use to solve the angle x in the right triangles are as follows:

sin x = 6 / 10cos x  = 5 / 10tan x = 4 / 6

How to find the angles of a right triangle?

A right angle triangle is a triangle that has one of its angles as 90 degrees.  The side and angles of a right angle triangle can be found using trigonometric ratios.

Therefore, the trigonometric function that can be use to find the angle x in the triangles are as follows:

Triangle PNM

sin x = opposite / hypotenuse

sin x = 6 / 10

sin x = 3 / 5

Triangle ABC

cos x = adjacent / hypotenuse

cos x = 5 / 10

cos x = 1 / 2

Triangle DEF

tan x = opposite / adjacent

tan x = 4 / 6

tan x = 2 / 3

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The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 7 to 4. If there were 8085 total votes, how many no
votes were there?

Answers

There are 2940 no votes.

From the question, we have

there were 8085 total votes

ratio= 7 :4

No votes = 4/11*8085

=2940

Divide:

Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.

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now there are ten nucleotides floating around: a,a,a,a,t,c,c,c,g,g . at random, one is picked to go in the first position, and then another is picked to go in the second position, and then another is picked to go into the third position. what are the chances that the resulting sequence is cat ?

Answers

There will be 0.84% chances that resulting sequence in cat to occur.

Total number of nucleotides floating around = 10

Let the event of picking cat be "A"

Number of cat in group = 3

Probability of picking cat is picked at first position = P(A1) = 3 / 10

= 0.3

Probability of picking cat is picked at second position = P(A2) =  2 / 9

= 0.223

Probability of picking cat is picked at third position = P(A3) = 1 / 8

= 0.125

so , probability of picking cat in first position and again in second position and again in third position will be = P(A1) . P(A2) . P(A3)

= 0.3 × 0.223 × 0.125

= 0.0084 required probability

There will be 0.84% chances that resulting sequence in cat

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What are three specific examples of how the documents are similar Write a function for the line with a slope of 5 that passes through the point (2, 1).HINT:Substitute the coordinates of the given point and the slope into y=mx+b to find the y-intercept.HINT:The slope is m in the equation y=mx+b. a file of style rules with a .css file extension holds a(n) cascading style sheet. Please I need help please What project scheduling term is used to describe the completion of significant portions of the project or a transition from one phase to another?. where would you find grade B eggs? Select all of the following pieces of evidence Dr. Corbett cites to demonstrate the development and value of the NIH/Moderna vaccine?neutralizing antibodies were observed even in older adult cohortsantibodies increase in response to dose in animals and humansindividuals who received the placebo vaccine did not have neutralizing antibodiesa proof of concept mRNA vaccine against a mouse coronavirus was very effective at protecting against a lethal exposure HELP ME PLSS THIS IS DUE NOW According to information found on the production analysis page of the Inquirer, Chester sold 1127 units of Cedar in the current year. Assuming that Cedar maintains a constant market share, all the units of Cedar are sold in the Nano market segment and the growth rate remains constant, how many years will it be before Cedar will not be able to meet future demand unless the company adds production capacity? Exclude any existing inventory. A lever has a 36 cm input arm and a 6 cm output arm. Find MA. Which way do particles move during active transport? Choose 1 answer: Choose 1 answer: (Choice A) A From one area of high concentration to another area of high concentration (Choice B) B From areas of high concentration to areas of low concentration (Choice C) C From one area of low concentration to another area of low concentration (Choice D) D From areas of low concentration to areas of high concentration you place a 7/50 kg television set on a spring scale. if the scale reads 78.4 n, what is the acceleration due to gravity at that location? unlike primary reinforcers, secondary reinforcers are how are photosynthesis and respiration related to each other? Simplify a9/a5 a^4 1/a^4 4 a^14 How does the author mainly create suspense throughout Chapter 1?A. by describing Moishe's experience with the German Army, which everyone in Sighet ignoresB. by describing Eliezer's relationship with Moishe and their discussions about prayer and GodC. by listing the ways Moishe's family prepared for the transport to the smaller ghettoOD. by describing Eliezer's mother's resilience and determination to positive despite the dire situationCCSS A suggestion of what will happen after the story is usually included in which part of the story? Group of answer choicesResolutionClimaxFalling actionRising action You have observed that the average size of a particular goldfish is 1.5 inches long. The standard deviation of the size of the goldfish is 0.25 inches. What is the size of a goldfish such that 95 percent of the goldfish are smaller? Assume a normal distribution for the size of goldfish. As a high school student, which of the common errors listed would you be most concerned about? why?. Suppose in 2020, you purchase a house built in 2014. Which of the following would be included in the gross domestic product for 2020 ? A. the value of the house in 2020 B. the value of the services of the real estate agent C. the value of the house in 2020 minus depreciation D. the value of the house in 2014