Some sand art contains sand and water sealed in a glass case similar to the one shown. when the art is turned upside down. the sand and water fall to create a new picture. the glass case has a depth of 1 centimeter and a volume of 768 cubic centimeters.) A. write an equation that represents the volume of the glass case.) b. Find the dimensions of the glass by completing the square. ) please help me

Some Sand Art Contains Sand And Water Sealed In A Glass Case Similar To The One Shown. When The Art Is

Answers

Answer 1

x²-8x=768

x²-8x-768=0

(x-32)(x+24)=0

x=32 x=-24

you use 32 because it can be negative

plug in for x

(32)(32-8)(1)=768

32×24=768

this isn't the completing the square method though this is zero product law

Answer 2

a. Equation that represents the volume of the rectangular prism glass is:  (x)(x - 8)(1) = 768

b. The dimensions are, length = 32 cm, width = 24 cm.

What is the Volume of a Rectangular prism?

Volume = (l)(w)(h)

Given the following dimensions of the glass case:

l = x cmw = (x - 8) cmh = 1 cmVolume = 768 cm³

a. Plug in the values into the volume formula to find the equation

(x)(x - 8)(1) = 768

x² - 8x - 768 = 0

b. Factorize x² - 8x - 768 = 0 to find the x, and find the dimensions of the rectangular prism glass

x² - 8x - 768 = 0

(x + 24)(x - 32) = 0

x= −24 or x = 32

The length cannot be a negative number, so:

Length of the glass = x = 32 cm

Width = x - 8 = 32 - 8 = 24 cm

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Related Questions

An article reports "attendance dropped 8 precent this year, to 3800." What was the attendance before the drop?​

Answers

Answer:

approx 4130

Step-by-step explanation:

x * .92 = 3800

3800/.92 = 4130.43478261

4130 approx. attendance before drop

Answer: 4,130

Step-by-step explanation:

Hi, to answer this we have to multiply the attendance before the drop (x) by the percentage that assisted after the drop ( 1-0.08) . That expression must be equal to the attendance after the drop (3800)

Mathematically speaking:

8% = 8/100 = 0.08 (decimal form)

x (1-0.08)= 3800

x (0.92) =3800

Solving for x

x = 3800/0.92

x= 4,130

The perimeter of a triangle below is 4x+3y. Find the measure of the missing side. (One side is x-y, the other is x+y)

Answers

Answer:

P = 2X + 3Y

Step-by-step explanation:

Perimeter of a triangle is the sum of its three sides, so:

P is the side to find

4x + 3y = (X-Y) + (X+Y) + P

We can to eliminate  -y and y, so:

4x +3y = 2X + P

Reducing terms:

4x - 2x + 3y = P

P = 2X + 3Y

Best regards

Final answer:

The missing side of the triangle can be found by subtracting the known sides from the total perimeter. So, in this case, the measure of the missing side is 2x+3y.

Explanation:

The subject of this question is Mathematics and it's applicable for a High School level. The question is asking to find the measure of the missing side of a triangle with a given perimeter and two sides. In this scenario, the perimeter of a triangle is given as 4x+3y, and two sides of the triangle are mentioned as x-y and x+y.

The perimeter of a triangle is the sum of the lengths of all its sides. If two sides are given as x-y and x+y, and the perimeter is 4x+3y, then the missing third side can be determined by subtracting the lengths of the known sides from the total perimeter, i.e., the missing side = perimeter - (sum of known sides) = 4x+3y - [(x-y) + (x+y)].

Simplifying this, we get: missing side = 4x+3y - 2x = 2x+3y. So, the missing side of the triangle has the measure of 2x+3y.

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solve this equation for x. round your answer to the nearest 0 = ln (x+6)

Answers

Answer: [tex]x=-5[/tex]

Step-by-step explanation:

To solve this exercise you need to remember the following:

[tex]e^{lnx}=e^{lny}[/tex] → [tex]x=y[/tex]

Therefore, keeping the above on mind, you can solve for x as following:

[tex]e^0=e^{ln(x+6)}[/tex]

[tex]e^0=x+6[/tex]

Remember that, by definition: [tex]a^0=1[/tex], then you have:

[tex]1=x+6[/tex]

Subtract 6 from both sides of the equation.

Then the value of x is:

[tex]1-6=x+6-6\\x=-5[/tex]

What are the x and y intercepts of y=x^2+3x-10 (show all steps please)

Answers

Answer:

X-int: (2,0) , (-5,0)

Y-int: (0,-10)

Step-by-step explanation:

To solve for the x-int, set y to 0.

0= x^2 + 3x - 10

0= (x-2)(x+5)

x= 2, and -5

To solve for the y-int, set x to 0.

y= (0)^2 + 3(0) - 10

y= -10

4x-11=3.2x+13. Write the lesser solution first. Round to the nearest tenth if needed

Answers

Final answer:

To solve the equation 4x - 11 = 3.2x + 13 and find the lesser solution, subtract 3.2x from both sides, simplify the equation, and solve for x. The lesser solution is x = 30.

Explanation:

To solve the equation 4x - 11 = 3.2x + 13 and find the lesser solution, we need to isolate the variable x. Here are the steps:

Start by subtracting 3.2x from both sides: 4x - 3.2x - 11 = 3.2x - 3.2x + 13.This simplifies to 0.8x - 11 = 13.Add 11 to both sides: 0.8x -11 + 11 = 13 + 11.Now we have 0.8x = 24.Divide both sides by 0.8: (0.8x) / 0.8 = 24 / 0.8.This gives us x = 30.

So, the lesser solution is x = 30.

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3(14-5x) = 72


what is x

Answers

Answer: x = -2

Step-by-step explanation:

The original problem is 3(14-5x) = 72. First, multiply 3 by the contents of the parentheses:

42 - 15 x = 72

Next, subtract 42 from each side:

-15x = 30

Now divide both sides by -15:

X = -2

Answer: -2

Step-by-step explanation:

First you begin by taking 3 and multiplying is by 14 and -5x:

(3 X 14) - (3 X -5x) = 72

42 - 15x = 72

Next, you subtract 42 from each side to isolate the variable.

-15x = 30

Next you divide each side by -15 to get the value of x.

X = -2

I hope this helps!

sidaanth kept a chart of his savings .which point represents this relationship?​

Answers

Point B in the graph represents the relationship to Sidhaanth's savings.

How do we read a graph in the Coordinate (x-y) plane?

A point on the graph can be read as a point (x, y) where y is the perpendicular distance of the point from the x-axis and x is the perpendicular distance of the point from the y-axis.

How do we solve the given question?

We are asked to tell the point that represents Sidhaanth's savings among the points A and B.

We analyze each point like this:

Point A:

The perpendicular distance from the y-axis (x) = 1 unit.

The perpendicular distance from the x-axis (y) = 28 units.

∴ The point is (1, 28) which says that Sidhaanth's weekly savings are $28.00. This is not true, as his weekly saving, as seen from the table is $7.00.

So, point A doesn't represent the relationship to Sidhaanth's savings.

Point B:

The perpendicular distance from the y-axis (x) = 2 units.

The perpendicular distance from the x-axis (y) = 14 units.

∴ The point is (2, 14) which says that Sidhaanth saves $14.00 every 2 weeks. This is true, as we can see from the table that his savings in the 2nd week are $14.00.

So, point B represents the relationship to Sidhaanth's savings.

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Answer:B

Step-by-step explanation:

Because the graph shows times 7 point be shows 2(weeks) and 14(dollars) and also that’s what the table shows

last week in your job at a darkroom you printed the following numbers of photographs Monday 17 Tuesday 21 Wednesday 19 Thursday 21 and Friday 19. on average about how many prints did you make per day?

Answers

Answer:

You printed about 19 prints a day.

Step-by-step explanation:

We need to find the mean of the data set. To do that we add all the numbers and divided by the number of #s.

17 + 21 + 19 + 21 +19 = 97

97 divided by 5 = 19.4

so you did about 19 prints.

Hope this helped! Please mark as brainliest! THanks!

I have no idea what the answer is too this. It is geometry if you didn't know already. I'm really struggling here. If anybody could help me out with the answer that would be great

Answers

Answer:

33.68

Step-by-step explanation:

The two y values coming from I are equal.

The two x values coming from K are equal.

That's because tangents to a circle from the same external point are equal.

5x + 1 = 6x - 3              Add  3 to both sides

5x + 1 + 3 = 6x -3+3     Combine

5x + 4 = 6x                   Subtract 5x from both sides.

5x-5x+4=6x- 5x            Combine

4 = x

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

y + 10 = 4y + 2               Subtract y from both sides

y-y+10=4y-y+2               Combine

10 = 3y + 2                      Subtract 2 from both sides

10-2=3y+2-2                   combine

8 = 3y                              Divide by 3

8/3 = y

y = 2.67

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

Now you just put x and y into the parts that make up IK.

IK should come out to 33.68

what are the zeros of the function? f(x)=x(x-2)(x+1)
-2
-1
0
1
2
select EACH correct answer

Answers

Answer:

x = -1, 0 , 2

Step-by-step explanation:

The zeros of the function are the solutions to its factors. When you set each factor equal to 0 using the zero product property, the solutions for x are the zeros. The function has factors x, x-2, and x+1. Set each equal to 0 and solve for x.

x = 0

x - 2 = 0 has solution x = 2

x + 1 = 0 has solution x = -1

What is the slope of the line 6x+3y=12

Answers

Answer:

-2 is the slope

Step-by-step explanation:

To find the slope of the line, we need to solve for y

6x +3y = 12

Subtract 6x from each side

6x-6x +3y = -6x+12

3y = -6x+12

Divide each side by 3

3y/3 = -6x/3 +12/3

y = -2x+4

This is in slope intercept form

y = mx+b   where m is the slope and b is the y intercept

-2 is the slope and 4 is the y intercept

Find area of shaded region. Round to the nearest tenth need help ASAP

Answers

Answer:

The area of shaded region is 226.4 meter squared.

Step-by-step explanation:

Radius of the circle = r =18.6 m

Angle subtended by chord[tex]\theta = 123^o[/tex]

Area of  sector = [tex]\frac{\theta }{360^o}\pi r^2[/tex]

In ΔOAB

∠A+∠B+∠O= 180°

2∠A+123°= 180°(∠A=∠B, isosceles triangle)

∠A=∠B=28.5°

AC=BC (Radius of the circle  bisects the chord at right angle.)...(1)

In ΔOAC

[tex]\sin 123^0=\frac{OC}{OA}[/tex]

OC = 8.87 m

[tex]\cos 123^0=\frac{AC}{OA}[/tex]

AC = 16.34 m

AB = AC+AB=16.34 m+16.34 m=32.68 m (from (1))

Area of the ΔOAB = [tex]\frac{1}{2}\times OC\times AB[/tex]

=[tex]\frac{1}{2}\times 8.87 m\times 32.68 m=144.93 m^2[/tex]

Area of segment = Area of sector - Area of triangle:

[tex]371.34 m^2-144.93 m^2=226.41 m^2\approx 226.4 m^2[/tex]

The area of shaded region is 226.4 meter squared.

remmi wrote the equation of the line y=1/3(x+2). He solved for x and got x=3y-2. which following is an equivalent equation for x?

Answers

Answer:

Answer you chosen in the option is correct!

Step-by-step explanation:

Here we can see that Remmi got x =3y -2

if we need to match it from given options we can take 3 as common factor from the right side ,Since we dont have 3 common in second term but using common number of property of numbers we can pull 3 from both terms because of which 3 is now in denominator of second term which is 2/3

therefore equation becomes  as third option so answer chosen by you is correct

Answer:

C.

Step-by-step explanation:

what is -4,5 reflected across the x axis

Answers

The answer to what is -4,5 reflected across the x axis is 4,5 bwcause its like a opposite

The coordinate obtained when -4,5 reflected across the x axis is (-4,-5).

What is Transformation?

The process of reflecting, dilating, rotating or translating is called Transformation.

The coordinate is (-4,5)

When a coordinate is reflected over x axis, the coordinate changes in following form:

(x,y) -------> (x,-y)

The new coordinate will be (-4,-5).

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what is 0.1675 rounded to the nearest hundreth​

Answers

0.1675 rounded to the nearest hundredth is 0.17.

When 0.1675 is rounded to nearest hundredth decimal place answer would definetely be

0.17

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what is the composition of Transformations mapping ∆ABC to ∆A'B"C"?

the first transformation is ______________
a. a reflection across m
b. a rotation about b
c. translation down

the second transformation is ________________
a. a reflection across m
b. a rotation about a
c. a translation right

∆ABC is ______________ ∆A'B"C".
a. greater than
b. less than
c. congruent to​

Answers

Answer:

I would say the answer is

1. reflection across m

2. rotation about a

3. congruent to

all transformations are congruent to each other unless it is a dilation.

Step-by-step explanation:

Answer:   The first transformation is a. a reflection across m.

The second transformation is b. a rotation about a.

∆ABC is c. congruent to​ ∆A'B"C".

Step-by-step explanation:

In the given picture, we can see that ΔABC is reflected across line m to create ΔA'B'C' such that all the corresponding points in both the triangles are equidistant from the line of reflection m.

∴ First transformation: Reflection across m.

After that, there is rotation of  ΔA'B'C' about point A' about some degrees such that, every corresponding points in both the triangles are equidistant from the point of rotation A'.

∴ Second transformation : Rotation about A'.

Since reflection and rotation are rigid transformations, therefore they produce only congruent figures.

Therefore, ∆ABC ≅ ∆A'B'C'

∆A'B'C' ≅  ∆A'B"C"

By law of transitivity of congruence,

∆ABC  ≅ ∆A'B"C"

The combined volume of three pools at a water park is 1.35 · 10^4 gallons. The water park plans to install a new pool with a volume of 3,500 gallons. What will be the total volume of all the pools at the water park after the new pool is installed?

Answers

Answer:

16500 gallons

Step-by-step explanation:

Due to:

(1.35)*(10^4) = 13500

then, with the new pool with 3500 gallons, the total volumen will be:

Vt = 13500 + 3500

Vt = 16500 gallons

Best regards

Final answer:

The total volume of all pools at the water park after the new pool is installed is calculated by adding the volume of the new pool to the existing total pool volume. The calculation results in a total volume of 1.385 · 10^4 gallons.

Explanation:

To find the total volume of all the pools after the new pool is installed, we have to add the volume of the new pool to the combined volume of the existing pools. The combined volume of the three existing pools at the park is 1.35 · 10^4 gallons, and the volume of the new pool is 3,500 gallons.

So, the calculation would be: 1.35 · 10^4 gallons + 3,500 gallons.

When you calculate that, you get 1.385 · 10^4 gallons. Thus, the total volume of all the pools at the water park after the new pool is installed will be 1.385 · 10^4 gallons.

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what series of transformation from ∆ ABC to ∆ DEF shows that ∆ ABC =~∆ DEF​

Answers

Reflection? I'm not sure

It is reflection, I took a mini quiz on this

What is the distance between each data point and the regression line called?

Answers

Using the regression formula with a slope = 2000 and intercept = 15000, what would the predicted income be for someone who has 16 years of education.

A residual is the space between each data point and the regression line.

Describe the linear regression line.

Regression lines can graphically show the relationship between the independent (x) and dependent (y) variables in the graph.

Instead of being multiplied, divided, or given as a non-algebraic function, as has been the case up to this point in this section, the terms in a linear model are added. The use of linear modelling enables the analysis of experimental, financial, and biological data as well as the prediction of complex systems.

Linear regression is a statistical method for creating linear models. A dependent variable y (also known as the response) and one or more independent variables Xi are related in the model (called the predictors). A residual is the separation of each data point from the regression line.

The information is ,

Regression lines can be used to visually express the independent (x) and dependent (y) variables in a graph given data.

The regression line is sometimes sometimes referred to as the "line of best fit" since, when drawn across the points, it is the line that fits them the best. The disparity between the anticipated and actual scores is minimized by this line.

And , A residual is the separation of each data point from the regression line.

The gap between data points on a regression line is hence known as the residual.

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Given AB= BC= CD. What is the measure of angle AFB? ​

Answers

Answer:40

Step-by-step explanation:

NEED HELP PLZ
Paul pays property tax in Dallas. On which of the
following might Paul pay property tax?
A clothing
B office space
C groceries
D salary

Answers

Answer:

B office space.

Step-by-step explanation:

What it says is Paul pays property tax. Property will be a building of some sort so office space is your answer.

2 3/4 divided by 3. What is the quotient and what is it in lowest terms?

Answers

Answer:

  11/12

Step-by-step explanation:

2 3/4 = 2·(4/4) + 3/4 = (8/4) +(3/4) = (8+3)/4 = 11/4

Then your problem becomes ...

  (11/4) / 3 = (11/4) · (1/3) = (11·1)/(4·3) = 11/12

___

The numerator and denominator have no common factors, so this is lowest terms.

Final answer:

The quotient of 2 ³/₄ divided by 3 is 11/12, and it is already in the lowest terms.

Explanation:

To calculate the quotient of 2  ³/₄ divided by 3, we first convert the mixed number to an improper fraction. So, 2  ³/₄ is the same as 11/4 (because 2 x 4 + 3 = 11). Next, we divide this improper fraction by 3, which is the same as multiplying by the reciprocal of 3, which is 1/3.

11/4 × 1/3 = 11/12. This gives us the final quotient, which is already in lowest terms, as 11 and 12 have no common factors besides 1.

What is the value of x?

Enter your answer in the box.
x =

Answers

Answer:

x = 5

Step-by-step explanation:

Applying Pythagoras' identity to the right triangle

x² + 12² = 13²

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25 ( take the square root of both sides )

x = [tex]\sqrt{25}[/tex] = 5

Which of the following statements is false?

Answers

Answer:

A

Step-by-step explanation:

Volume and capacity measure the same idea. They each describe how much something can hold. Volume measures it in cubic units while capacity measures it in ounces, liters, etc. It can be almost any measurement. They will not have the same measurement type or number since each measurement will give different numbers.

the map shows the location of four places on a school Peterson English class is located in the same quadrant as the auditorium. which of the following could be the coordinates of the English classroom? (there is a pic with the answer choices and the map) PLLZZ HELLLPPP​

Answers

Answer:

Hey its (-3,2

Step-by-step explanation:

Answer:

i think -3-2 i hope that helps

Step-by-step explanation:

it;'s -3-2 because its in the same quadrant as the auditorium so it is both nehgative numbers

find the diameter of a circle with an area of 12.6 square inches ​

Answers

Answer:

Step-by-step explanation

the answer is 10

The diameter of a circle is 4.005 inches

What is diameter of a circle?

"The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circumference of the circle."

What is circle?

"A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape."

We have,

Area of Circle is 12.6 square inches

Formula to find the diameter of a circle

D = [tex]2[/tex]×[tex]\sqrt{\frac{Area of Circle}{\pi } }[/tex]

D = [tex]2[/tex]×[tex]\sqrt{\frac{12.6}{\pi } }[/tex]

D = [tex]2[/tex]×[tex]\sqrt{4.0107}[/tex]

D = [tex]2[/tex]×[tex]2.002[/tex]

D = [tex]4.005[/tex] inches

Hence, the diameter of a circle is 4.005 inches

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Which of the following points is a solution of y ≤ -|x| - 1?

(-1, -3)
(0, 0)
(1, -1)

Answers

Answer:

[tex]\large\boxed{(-1,\ -3)}[/tex]

Step-by-step explanation:

[tex]|a|=a\ \text{for}\ a\geq0\\\\|a|=-a\ \text{for}\ a<0\\\\\text{Examples}\\\\|3|=3,\ |1.6|=1.6\\|-3|=-(-3)=3,\ |-1.6|=1.6\\===================[/tex]

[tex]y<-|x|-1\\\\\text{Put the values of x and y from the coordinates of the points and check inequality}\\\\(-1,\ -3)\to x=-1,\ y=-3\\-3<-|-1|-1=-1-1=-1\qquad\text{CORRECT :)}\\\\(0,\ 0)\to\ x=0,\ y=0\\0<-|0|-1=-1\qquad\text{FALSE\ :(}\\\\(1,\ -1)\to x=1,\ y=-1\\-1<-|1|-1=-1-1=-2\qquad\text{FALSE\ :(}[/tex]

What is the radius for a circle whose equation is x2 + y2 = 36?

Answers

Answer:

Radius : 6

Step-by-step explanation:

Rewrite in standard form to find the radius.

Hope this helps,

Davinia.

Radius of a circle whose equation is    [tex]x^{2} +y^{2} =36[/tex] is 6

What is an equation?

An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.  

What is a circle?A closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre" is called a circle.The standard equation of the circle is:  [tex]x^{2} +y^{2} = a ^{2}[/tex],   where a is the radius of the circle.How to find the radius of the given circle ?The given equation of the circle is :    [tex]x^{2} +y^{2} =36[/tex]

Comparing the given equation with the standard equation, we can say,

a² = 36

⇒ a = ± 6

Since a is the radius, the negative value gets rejected.

The radius of the given circle is 6.

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The difference between 48 and 13 algebra numeral expression.

Answers

Numerical expressions contain numbers, while algebraic expressions contain variables and numbers.

Numerical Expression

"Difference" indicates that we'll be subtracting 13 from 48.

48 - 13 = 35

Algebraic Expression

Variables represent the unknown number, in this case the difference between 48 and 13. Let d represent the difference between the two.

48 - 13 = d

35 = d

two-fifth of the fish in Gary's fish tank are guppies. One-fourth of the guppies are red. What fraction of the fish in Gary's tank are red guppies. Show your work

Answers

Answer:

1/10

Step-by-step explanation:

To find the number of red guppies, multiply the fractions.

Gary has 2/5 of his fish collection as guppies. Of the guppies, 1.4 are red.

So 2/5 * 1/4 = 2/20 = 1/10.

Other Questions
Which cell structure is semi-permeable and forms the boundary of the cell Which one of the correct verb conjugation of decir? 1 vosotros decs 2 ustedes decimos 3 vosotros deceis 4 t decis Read the poem.The Song of Wandering Aengusby William Butler YeatsI went out to the hazel wood,Because a fire was in my head,And cut and peeled a hazel wand,And hooked a berry to a thread;And when white moths were on the wing,And moth-like stars were flickering out,I dropped the berry in a streamAnd caught a little silver trout.When I had laid it on the floorI went to blow the fire a-flame,But something rustled on the floor,And someone called me by my name:It had become a glimmering girlWith apple blossom in her hairWho called me by my name and ranAnd faded through the brightening air.Though I am old with wanderingThrough hollow lands and hilly lands,I will find out where she has gone,And kiss her lips and take her hands;And walk among long dappled grass,And pluck till time and times are done,The silver apples of the moon,The golden apples of the sun.Which alliterative phrase from the poem creates a mood of hope?A.) "hollow lands and hilly lands"B.) "a glimmering girl"C.) "fire a-flame"D.) "till time and times are done" a circle with radius of 2cm sits inside a 7cm x 11cm rectangle. what is the area of the shaded region ? Which best describes how "The Convict and the Bishop" resolves its main conflicts? Solve the system of equations. y = -5x - 8 y = 4x + 1 a. ( 1, -3) c. ( 3, 1) b. ( -1, -3) d. No solution The set of ordered pairs shown represents a function, f,{(5, 3), (4, 9), (3, 2), (0, 6)}Select THREE ordered pairs that could be added to the set that would allow f to remain a function.Question 10 options:A) (-3, -2)B) (4, 0)C) (0, -1)D) (1, 6)E) (2, 3)F) (-5, 9) Alcohol is considered a: A. Poisonous drug B. Recreational drug C. Medicinal Drug Which statement is a logical conclusion that Sojourner Truth deduces in this passage?A)Women ought not to have as many rights as men for the religious reason that Christ was a man, not a woman.B)If men aren't helping her into carriages and she's a woman, then they must be looking at her race with rejection.C)Even though Sojourner claims that she can work and eat as much as a man, she doesn't think she deserves equal rights.D)If women do indeed have less intellect than men, then it makes sense to deny them equal rights toward decision-making. Simplify completely 6x-12/10 solve for v 42=7/6v Which of these is not a type of evidence? (5 points) Quotes Statistics Graphs Claims What deal did Democrats and Republicans make regarding the presidential election of 1876? Can someone help me on this problem?? I think Im setting the problem wrong... How is the movement of molecules that you observed in both the cases connected to their mass and temperature? Read this passage:MALCOLM. What will you do? Let's not consort with them.To show an unfelt sorrow is an officeWhich the false man does easy. I'll to England.DONALBAIN. To Ireland, I. Our separated fortuneShall keep us both the safer. Where we are,There's daggers in men's smiles. The near in blood,The nearer bloody.MALCOLM. This murderous shaft that's shotHath not yet lighted, and our safest wayIs to avoid the aim. Therefore, to horse,And let us not be dainty of leave-taking,But shift away. There's warrant in that theftWhich steals itself when there's no mercy left.William Shakespeare, Macbeth, Act II, scene iiiWhich lines would support the answer to the question of why Malcolm andDonalbain feel they need to leave Scotland?A. Therefore, to horse, / And let us not be dainty of leave-takingB. This murderous shaft that's shot / Hath not yet lighted, and oursafest way / Is to avoid the aim.C. I'll to England." / "To Ireland, I.D. What will you do? Let's not consort with them. Write the fraction as a decimal. Round to the nearest hundredth, if necessary. 7/8 What is the main muscle in the respiratory system? Strip electrons from an atom and the atom becomes a fungi are different from plants in that fungi a. secrete enzymes b. decompose organic waste c. contain dna d. have cell walls Steam Workshop Downloader