7) what are the coordinates of the vertices with the base b and the height h?


8) solve for the measures of angles 1, 2, and 3

Answers

Answer 1

The coordinates of the vertices with the base b and the height h is  O(0, 0), W(b, 0), T(b, h) and S(0,h).

What is rectangle?

An example of a quadrilateral with equal and parallel opposite sides is a rectangle. It is a polygon with four sides and four angles that are each 90 degrees. A rectangle is a shape with only two dimensions.

The rectangle with  base b and height h.

We know that:

The point O is shown in the graph is at Origin.

So, its coordinates are O(0, 0)

Since, the height of the rectangle is h,

as S and T are h units away from the x-axis.

and the base of the rectangle is b, T and W are b units away from the y-axis.

thus the coordinates of the other vertices are:

S(0, h), T(b, h) and W(b, 0)

Therefore, the coordinates of the vertices of the following rectangle with base b and height h are:

O(0, 0), W(b, 0), T(b, h) and S(0,h)

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Related Questions

Can somebody help me look at the picture

Answers

Answer:

Seagle =10

Dolphin =2.5

Penguin-flat =0

Shark = -2.5

Clownfish= -7.5

Octpus= -10

Step-by-step explanation:

Answer:

Meters of the seagull: 10 cmMeters of the dolphin: 2 cm Meters of the penguin: 0 cm Meters of the shark: -3 cmMeters of the clownfish: -7 cmMeters of the Octopus: -10 cm

Step-by-step explanation:

The distance between each animal and the sea level is already shown in the image.

- for the seagull the vertical line with measurements of 0,5, 10 if you measure how high the seagull it would be 10 cm, how do I measure it? go from 0 to the height of the dolphin and you'll find the answer.

- for the dolphin, look at the vertical line with measurements of 0,5, and 10  how do I measure it? go from 0 to the height of the dolphin and you'll find the answer which would be 2cm.

you keep doing the same thing to the other animals the meters are shown on the image you have to measure from 0 and go up or down depending on where the animal is.

For the function g(x) = -2x - 5, determine g(6)
A) -10
B)-17

Answers

Answer:

-17

Step-by-step explanation:

replace x with 6

g(6)=-2(6)-5

g(6)=-12-5

g(6)= -17

hopes this helps please mark brainliest

What is the solution for −6x 9≤2−5(x 1)? responses x≤4 x ≤ 4 x≥4 x ≥ 4 x≥12 x ≥ 12 x≤12

Answers

It a because it’s no other answer

a local winery bottles 14 different white wines. to help customers with their purchasing choice, the winery offers customers 5 white wine tasting samples free of charge. how many ways does a customer have to choose 5 different white wines to taste

Answers

a local winery bottles 14 different white wines. to help customers with their purchasing choice, the winery offers customers 5 white wine tasting samples free of charge 2002 many ways does a customer have to choose 5 different white wines to taste, using the concept of combination formula.

What is combination formula?

The number of possible ways to choose items from a collection when the order of choice is irrelevant is determined using the combination formula. Combination, to put it simply, is the process of choosing items or things from a bigger group where order is irrelevant.

The combination formula is: n! / (n-r)! r! , where n is the total number of items (14 in this case) and r is the number of items being selected at once (5 in this case),

Plugging our numbers into the formula we get:

= 14! / (14-5)! 5!

= 2002

After simplifying, we get 2002.

So, there are 2002 ways of picking 5 different white wines to taste from a group of 14 local winery bottles.

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f"(x) = 1/x^3/2, f'(4)=2, f(4)=0
f(x)=?

PLS URGENT

Answers

Answer: 6

Step-by-step explanation:

I need help with this problem, look at image below.

Answers

Answer:

no

Step-by-step explanation:

The three angles of a triangle are 180, but the sum of the three angles in the figure is 200.so its impossible .

Indicate whether (1, 5) is a solution of the given system.

Answers

Answer:

To determine whether (1, 5) is a solution of a given system, you need to substitute these values into the equations of the system and check whether the resulting statements are true.

For example, if the given system is represented by the equations y = 2x + 1 and y = x - 3, then you would substitute 1 for x and 5 for y in each equation and check whether the resulting statements are true.

Substituting these values into the first equation, we get:

5 = 2(1) + 1

5 = 2 + 1

5 = 3

This statement is not true, so (1, 5) is not a solution of this system.

On the other hand, if the given system is represented by the equations y = 2x + 1 and y = 5, then substituting the values (1, 5) into both equations would result in true statements, so (1, 5) would be a solution of this system.

I hope this helps! Let me know if you have any more questions.

Step-by-step explanation:

Milton is 1.55 meters tall. At 3 p.m., he measures the length of a tree's shadow to be 27.25 meters. He stands 23.1 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow.

Find the height of the tree to the nearest hundredth of a meter.

Answers

The height of the tree that produce a shadow of length 27.25 m is 10.18 m.

What is height?

Height is the vertical distance between two points.

To calculate the height of the try, we use the formula of similar angle.

Formula:

d/D = h/H................ Equation 1

Where:

d = Distance of Milton from the treeD = Length of the tree's shadowH = Height of the treeh = Height of Milton

From the question,

Given:

d = (27.25-23.1) = 4.15 mD = 27.25 mh = 1.55 m

Substitute these values into equation 1 and solve for H

4.15/27.25 = 1.55/HH = (1.55×27.25)/4.15H = 10.18 m

Hence, the height of the tree is 10.18 m.

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Is n-3^2 linear explain why please

Answers

Answer:

y=n-3^2 is linear

Step-by-step explanation:

A linear equation is an equation between two variables that give a straight line with plotted on a graph.

The two variables used are "n" and "3^2"

When graphed, it forms a diagonal, straight line.

While shootings baskets at a basketball hoop, you make 36 out of 80 shots. Your friend makes 43.75% of the shots. Between the two of you, who made the higher percentage of shots?

Answers

45%

You made a higher percentage of shots.

36/80*100 = 45%

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Help please! More points will mark as brainiest!

Answers

Answer:

384cm^2

Step-by-step explanation:

8x8x6 = 384

Write two expressions for the perimeter of the figure.
2
8
4x
4
7x
Note: The figure is not drawn to scale.
(a) Use all five side lengths.
perimeter = 0+0+0+0+0
(b) Simplify the expression from part (a).
perimeter =

Answers

The perimeter can be calculated using the formulas 22x+23 and 2x+3x+17x+7+16.

How to calculate perimeter of two expression ?

The length of a shape's outline is its perimeter. You must add the lengths of all four sides of a rectangle or square to determine its perimeter. In this instance, x represents the rectangle's length and y its width. The surface of a shape's area is measured.

The total length of the four sides makes up the perimeter (P) of a rectangle. A rectangle has two equal lengths and two equal widths since its opposite sides are equal. The following is the formula for calculating a rectangle's perimeter: The formula for perimeter is length + length + width + width. P = l + l + w + w.

you want to add the variables of the same kind in this case

2x        

3x         7

17x       16

_________

22x  +     23

Therefore Two expressions for the perimeter would be 22x+23 and 2x+3x+17x+7+16

The complete question is : Write two expressions for the perimeter of the figure.

2x

7

3x

172

16

Note: The figure is not drawn to scale.

(a) Use all five side lengths.

perimeter - ] + + + +

(b) Simplify the expression from part (a).

perimeter =

Х

$ ?

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3/4x-5=1/2x+2x-10
solve for x

Answers

Answer:

x = [tex]\frac{20}{7}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] x - 5= [tex]\frac{1}{2}[/tex] x + 2x - 10

multiply through by 4 ( the LCM of 4 and 2 ) to clear the fractions

3x - 20 = 2x + 8x - 40

3x - 20 = 10x - 40 ( subtract 10x from both sides )

- 7x - 20 = - 40 ( add 20 to both sides )

- 7x = - 20 ( divide both sides by - 7 )

x = [tex]\frac{-20}{-7}[/tex] = [tex]\frac{20}{7}[/tex]

Answer:

[tex]x=\frac{20}{7}[/tex]

Step-by-step explanation:

Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.

[tex]\frac{1}{2}x+2x-10=\frac{3}{4}x-5[/tex]

Simplify the left side of the equation by combing [tex]\frac{1}{2}[/tex] and [tex]x[/tex].

[tex]\frac{x}{2}+2x-10=\frac{3}{4}x-5[/tex]

To write [tex]2x[/tex] as a fraction with a common denominator, multiply by [tex]\frac{2}{2}[/tex].

[tex]\frac{x}{2}+2x*\frac{2}{2} -10=\frac{3}{4}x-5[/tex]

Simplify terms by combining [tex]2x[/tex] and [tex]\frac{2}{2}[/tex]. Combine the numerators over the common denominator.

[tex]\frac{x+2x*2}{2} -10=\frac{3}{4}x-5[/tex]

Raise x to the power of 1.

[tex]\frac{x^1+2x*2}{2} -10=\frac{3}{4}x-5[/tex]

Factor [tex]x[/tex] out of [tex]x^1[/tex].

[tex]\frac{x*1+2x*2}{2} -10=\frac{3}{4}x-5[/tex]

Factor [tex]x[/tex] out of [tex]x+2x*2[/tex].

[tex]\frac{x*1+x(2*2)}{2} -10=\frac{3}{4}x-5[/tex]

Factor [tex]x[/tex] out of [tex]x*1+x(2*2)[/tex]

[tex]\frac{x(1+2*2)}{2} -10=\frac{3}{4}x-5[/tex]

Multiply 2 by 2.

[tex]\frac{x(1+4)}{2} -10=\frac{3}{4}x-5[/tex]

Add 1 and 4.

[tex]\frac{5x}{2} -10=\frac{3}{4}x-5[/tex]

Combine [tex]\frac{3}{4}[/tex] and [tex]x[/tex].

[tex]\frac{5x}{2} -10=\frac{3x}{4}-5[/tex]

Move all terms containing [tex]x[/tex] to the left side of the equation.

[tex]\frac{7x}{4}-10=-5[/tex]

Move all terms not containing [tex]x[/tex] to the right side of the equation.

[tex]\frac{7x}{4}=5[/tex]

Multiply both sides of the equation by [tex]\frac{4}{7}[/tex]

[tex]\frac{7x}{4}*\frac{4}{7} =5*\frac{4}{7}[/tex]

Simplify both sides of the equation.

[tex]x=\frac{20}{7}[/tex]

The value of y is directly proportional to the value of x. When = 512, y = 128.
What is the value of y when x = 64?

Answers

Answer:

Step-by-step explanation:

directly proportional means same

x=y

512=128

64=y

512/64=8

128/8=16

when x=64 then the value of y=16

Answer:

C

Step-by-step explanation:

given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

to find k use the condition when x = 512, y = 128

128 = 512k ( divide both sides by 512 )

[tex]\frac{128}{512}[/tex] = k , that is k = 0.25

y = 0.25x ← equation of proportion

when x = 64 , then

y = 0.25 × 64 = 16

can someone explain this to me? i have an answer key but don’t know how to do it

Answers

Check the picture below.

What is the slope of a line perpendicular to the line whose equation is 3x-6y=144 Fully simplify your answer.

Answers

Answer:

The slope of the perpendicular line is -2.

Step-by-step explanation:

A perpendicular line has a slope that is the negative inverse of the slope of the reference line.  The reference line in this problem is 3x-6y=144.

Let's rearrange this equation to standard slope-intercept form of y=mx+b, where m is the slope and b is the y-intercept (the valuue of y when x=0).

3x-6y=144

-6y=144-3x

-6y=-3x + 144

 y = (3/6)x + (144/-6)

 y = (1/2)x - 24

This line has a slope of (1/2) and a y-intercept of -24.  A line perpendicular to this will have a slope that is the negative inverse of (1/2).  This would be -2.  The new line will take form:

 y = -2x + b

We are not given b, and there is not enough information to calculate one, so let's assume a value of -24, so that it intersects the original line at (0, -24).  See the attached graph.

What is the domain of the function shown below?
3
A All real numbers
C All whole numbers
B All integers
D All natural numbers

Answers

Answer:

  A  All real numbers

Step-by-step explanation:

You want to know the domain of a function graphed as a continuous line with negative slope.

Domain

The domain is the horizontal extent of the function, all of the values for which the function is defined.

The graph shows the function is defined not only for all integers (..., -1, 0, 1, ...), but also for all the values between.

The domain is all real numbers.

help me with math please

Answers

The possible coordinates of point A such that the distance to point B is 10 units are:

(-5, -4) and (-5, 8)

What are the possible coordinates of point A?

We know that the distance between two points (a, b) and (c, d) is:

distance = √( (a - c)² + (b - d)²)

In this case, we know that:

B = (3, 2)

A = (-5, y)

And the distance is 10 units, then we can write:

10 = √( (3 + 5)² + (2 - y)²)

10² = 8² + (2 - y)²

100 - 64 =  (2 - y)²

36 =  (2 - y)²

±√36 = 2 - y

±6 = 2 - y

y = 2 ± 6

The two solutions are:

y = 2 + 6 = 8

y = 2 - 6 = -4

Then the possible coordinates are (-5, -4) and (-5, 8).

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Graph a triangle (ABC) and reflect it over the x-axis to create triangle A'B'C'. Describe the transformation using words. Make sure you refer to the characteristics and the coordinates. Draw a line segment from point A to the reflecting line, and then draw a line segment from point A' to the reflecting line. What do you notice about the two line segments you drew? Do you think you would see the same characteristic if you drew the line segment connecting B with the reflecting line and then B' with the reflecting line? How do you know?

Answers

The two line segments after the reflection over the x-axis are vertical lines, and the same will be true for the third segment.

What are the changes to the triangle?

The rule for a reflection over the x-axis is given as follows:

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

Meaning that the x-axis remains constant, while the coordinates of the y-axis are changed.

The vertices of the original triangle will be attributed as follows:

A(1,1), B(4,1) and C(1,5).

Hence the vertices of the reflected triangle will be given as follows:

A'(1,-1), B'(4,-1) and C(1,-5).

Thus the lines are given as follows:

A and A': x = 1.B and B': x = 4.C and C': x = 1.

Hence there are three vertical lines.

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there is a line that includes the point (0, 5) and has a slope of 1/9 .what is its equation in slope intercept form?

Answers

Answer:

y = 1/9x + 5

Hope this helps!

Step-by-step explanation:

y = mx + b

m = slope

y = [tex]\frac{1}{9} x[/tex] + b

( x, y ) = ( 0, 5 )

(5) = [tex]\frac{1}{9} (0)[/tex] + b

5 = 0 + b

5 = b or b = 5

Putting it all together gets you y = [tex]\frac{1}{9} x[/tex] + 5

Given that
R
=
8
x
+
4
y

Find
y
when
x
=
8
and
R
=
30

Give your answer as an improper fraction in its simplest form.

Answers

Answer: x=8,r=30

Step-by-step explanation:

the probability that a restaurant passes its health department inspection is 0.94. the owners of 58 restaurants are surveyed to see if their restaurants passed inspection. For each binomial experiment described, find the mean, the variance and the standard deviation!

Answers

The mean , standard deviation, and the variance of each binomial experiment using given probability and sample of restaurant owners surveyed is equal to  54.52 , 1.808, 3.2712 respectively.

As given in the question,

Let success be defined by health department inspection is passed by restaurant

Probability of success rate 'p' = 0.94

Value of ' 1 - p ' = 1 - 0.94

                         = 0.06

Number of owners of restaurant which are surveyed 'n' = 58

For the given binomial experiments calculation of the following distributions are:

Mean 'μ' = np

              = 58 × 0.94

              = 54.52

Standard deviation 'σ' = √ np (1 - p)

                                    = √ 58 × 0.94 × 0.06

                                    = √3.2712

                                    = 1.808

Variance 'σ²' =  np( 1 - p )

                     = 58 × 0.94 × 0.06

                     = 3.2712

Therefore, the mean , standard deviation , and the variance from the given probability and sample size is equal to 54.52 , 1.808, 3.2712 respectively.

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A rectangle is constructed on a semicircle so that the length equals the diameter. The rectangle is 3 times as long as it is wide. The total area of the figure is 750 inches squared. Find the approximate dimensions of the rectangle.

Answers

A rectangle is constructed on a semicircle so that the length equals the diameter. The width of the rectangle is approximately 10.65 inches.

What are the approximate dimensions of the rectangle.?

Generally, Let the width of the rectangle be x. Then the length of the rectangle is 3x.

The diameter of the semicircle is also the length of the rectangle, so it is 3x.

The area of the rectangle is x*(3x) = 3x^2. The area of the semicircle is (1/2)πr^2, where r is the radius of the semicircle. Since the diameter of the semicircle is 3x, the radius is (3x)/2. The area of the semicircle is (1/2)π((3x)/2)^2 = (9/8)πx^2.

The total area of the figure is the sum of the area of the rectangle and the area of the semicircle. We can set up the equation:

3x^2 + (9/8)πx^2 = 750

(21/8)πx^2 = 750

x^2 = 750/(21/8)*π

x = √(750/(21/8)*π)

To find the approximate dimensions of the rectangle, we can use the fact that pi is approximately 3.14. This gives us:

x = √(750/(21/8)*3.14)

= √(750/6.71)

= √(112.64)

= approximately 10.65 inches.

The width of the rectangle is approximately 10.65 inches. The length of the rectangle is 3 times the width, so it is approximately 31.95 inches.

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Please help!!!

find y and x

Answers

Answer:

  a)  y = 16/x²

  b)  x = 4/5

Step-by-step explanation:

You want the equation for y in terms of x when y is inversely proportional to the square of x, and y is 16 when x is 1. Further, you want the value of x when y is 25.

(a) Relation

The wording "inversely proportional to the square" means the form of the equation is ...

  y = k/x² . . . . . . where k is the constant of proportionality

The value of k can be found from the given (x, y) pair.

  k = x²y = (1)²(16) = 16

The equation is ...

  y = 16/x²

(b) Value of x

Solving for x gives ...

  x = √(16/y)

Then the value of x for y = 25 is ...

  x = √(16/25)

  x = 4/5

fully simplify3d/ac x 2ad/30

Answers

The value of the equation 3d/ac x 2ad/30 is ( d² / 5c )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

A = 3d/ac x 2ad/30   be equation (1)

On simplifying the equation , we get

A = 3d/ac x 2ad/30  

A = 6ad² / 30ac

On further simplification of the equation , we get

The value of A = 1/5 ( ad² / ac )

The value of A = 1/5 ( d²/c )

Therefore , the value of A is  ( d² / 5c ) or A = 1/5 ( d²/c )

Hence , The value of the equation 3d/ac x 2ad/30 is ( d² / 5c ) or

A = 1/5 ( d²/c )

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Write an equation in point-slope form for the line that passes through each point
with the given slope. Then graph the equation.
(2,-1),m=-3

Answers

Answer: y= 3x -5

Step-by-step explanation:

2X+3 {2(X+2)+3(X-4)} =10​

Answers

Answer:

x=2

Step-by-step explanation:

Remove parentheses

collect like terms

move constants to the right

calculate

divide both sides

Richard and Teo have a combined age of 28. Richard is 13 years older than twice Teo’s age. How old are Richard and Thiago?

Answers

Answer:

Richard = 23

Teo= 5

Step-by-step explanation:

R + T = 28

R = 2T + 13

(2T+13)+T = 28

3T + 13 = 28

3T = 28 - 13

3T = 15

T = 15/3

T = 5

(Checking your answer)

R + 5 = 28

R = 28 - 5

R = 23

R = 2(5) + 13 = 10 + 13 = 23

Found this on another brainly question

6 Jessica runs for 15 minutes at an average speed of 6 miles per hour.
She then runs for 40 minutes at an average speed of 9 miles per hour.
It takes Amy 45 minutes to run the same total distance that Jessica runs.
Work out Amy's average speed.
Give your answer in miles
per hour.

Answers

Answer:

20

Step-by-step explanation:

6*(60/15) = 1.5 (milles)

9*(60/40) = 13.5 (milles)

1.5 + 13.5 = 15 (milles)

15 / (45/60) = 20 (milles per hour)

The speed of Amy is 8.6 mph.

What is speed?

Speed is defined as the rate of change of distance with time. It has the dimension of distance by time. Thus, the SI unit of speed is given as the combination of the basic unit of distance and the basic unit of Time. Thus, the SI unit of speed is metre per second.

Given that, Jessica runs for 15 minutes at an average speed of 6 miles per hour. She then runs for 40 minutes at an average speed of 9 miles per hour. It takes Amy 45 minutes to run the same total distance that Jessica runs.

Calculating the distance covered by Jessica,

15 minutes = 0.25 hours

Speed = distance / time

Distance = speed × time

Distance = 0.25 × 6 = 1.5 mile

And,

40 minutes = 2/3 hours

Distance = 2/3 × 9 = 6 miles

Total distance covered by Jessica = 1.5+6 = 6.5 miles

Since, Amy covers the same distance in 45 minutes,

Therefore, 45 minutes = 3/4 hours

Speed = 6.5/0.75 = 8.6 mph

Hence, The speed of Amy is 8.6 mph.

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Use the following word problem to answer the following questions.
Shashi has a rectangular garden. The length of the garden is 4 feet less than twice the width. The area of the garden is 448 square feet. What is the length of the garden?
1. Provide the mathematical model specific to the word problem(table of values, graph, statement)
2.explain why you chose that type of model
3. what is the answer to the word problem

Answers

The length of the rectangular garden is 28 feet.

Statement represents the mathematical solution to the given word problem.

The statement clearly explains the stated circumstance.

What is rectangle?

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

Given that,

The area of the rectangular garden = 448 square feet.

Also, the length of the garden is 4 feet less than the twice of the width.

Let the width of garden is x feet

Then length of garden = 2x - 4

The area of rectangular garden = 448

x (2x - 4) = 448

x (x - 2) = 224

x = 16

The width of the garden is 16 feet.

The length of the garden = 2x - 4 = 2(16) - 4 = 32 - 4 = 28 feet

The required length of the garden is 28 feet.

The mathematical model to the given word problem is statement.

Statement clarify the given condition clearly.

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Other Questions
answer please have no idea how to start or do it just please show the workings aswell. In what way does the repeated image of the "eye of a vulture" help to create suspense? Acid rain throughout the northeast United States has lowered the pH of many ponds and lakes. The lowered pH will eventually result in the death of many aquatic animals. Compare the map of the U.S. with the pH tolerance range for the organisms listed. Based on the tolerances seen here, which aquatic organisms are least likely to survive in the northeastern states? Responses A Only the clam will survive.Only the clam will survive. B All of the aquatic organisms will die.All of the aquatic organisms will die. C All the organisms with a lower limit of 5.0 will survive.All the organisms with a lower limit of 5.0 will survive. D All of the fish species will die; the others will survive. which network device concentrates communications signals, accepts only basic commands, and provides statistics such as throughput measures and uptime percentages? Which is NOT a responsibility nurses have towards doctors?O A.Keep them informed, especially of new problems .Make sure they are going home to a safe environmentO C.Know when the doctor needs to be called immediately or if it can waitO D. Stay organized and discuss all relevant and important informationResetNext Convert 9.8 x 1023 nanoliters to liters. Round your answer to the proper number of sig figs. Do not enter a unit, just the number. Enter your answer using scientific notation. x 10^ litersBlank 1: Put only the coefficient.Blank 2: Put only the exponent on the power of 10. what business activity shifts work previously done by american workers to workers located in other countries? Men in the 1950s were expected to be______, and women were in charge of______.A. Provider of basic needs; providing luxuriesB. Working; financial decisionsC. Providers; the homeand women were in charge of URGENT 20 points please The ancient Greek mathematician Euclid is credited with the development of the theorem that the sum of the angles ofa triangle is 180 degrees.Use the previous information to solve for the measure of the two unknown angles of an isosceles triangle where thethird angle measures 32 degrees.If the third angle measures 32 degrees, the other two angles measure ____ and ____ A. Find the present values of the following cash flow streams at 8% compounded annually. Stream a: 0 $100 $400 $400 $400 $300 stream b: 0 $300 $400 $400 $400 $100 b. What are the pvs of the streams at 0% compounded annually? Which part of a computer takes the text and pictures on your screen and prints them onto paper? Shureka Washburn has scores of 67, 65, 64, and 88 on her algebra tests.a. Use an inequality to find the scores she must make on the final exam to pass the course with an average of 73 or higher, given that the final exam counts as two tests.b. Explain the meaning of the answer to part (a). for a roll of a fair die, each of the outcomes 1, 2, 3, 4, 5, or 6 is equally likely. a red die and a green die are rolled simultaneously, and the difference of the outcomes (red - green) is computed. this is repeated for a total of 500 rolls of the pair of dice. which of the following graphs best represents the most reasonable distribution of the differences? In act 3, why does mary warren change her testimony and join abigail and the other girls?. Walmart has cashews that sell for $2 a pound and peanuts that sell for $1.50 a pound. Meijer sells cashews for$2.50 a pound and peanuts for $1 a pound. Mike paid $26 at Walmart and Jim paid $29 at Meijer for the sameamount of nuts. How many pounds of cashews and peanuts did they buy? Urinary system matching, confused, will earn 50pts for completion nvestigations were carried out in a science lab to explore the topic of chemical and physical changes.Investigation AStep 1. Add 5 tsp. salt to 100 ml warm water and stir until most or all of the salt is no longer visible.Step 2. Heat the salt solution on a burner until only a white solid remains.Investigation BStep 1. Mix 10 tsp. white sugar into 100 ml water and stir until most or all of the sugar is no longer visible.Step 2. Heat the sugar solution on a burner until the solution thickens and turns brown.In which step(s) did a chemical change most likely occur?Investigation A, Step 1 and Investigation B, Step 1Investigation A, Step 2 and Investigation B, Step 2Investigation A, Step 2 onlyInvestigation B, Step 2 only Explain in your own words what risk management is. Then give an example of a way a businessperson could manage risk. A student cut three identical slices from a potato.She determined the mass of the slice. She then placed them in labeled beakers and added a different solutions to each beaker. After 30 minutes, she removed each slice from it's solutions, removed the excess liquid with toilet paper, and determined the mass of each slice. The change in mass was calculated and the results are shown in the data table below.Change in mass of potato in Different solutions.Using racee explain why solution 2,3 are hypertonic. In Berlioz's Symphonie fantastique, the ide fixeO all of the answers shown here.O unifies the five movements, which are diverse in character and mood.O recurs as required by the literary program.O symbolizes the beloved.