parallel abcd is similar to parallelogrem efgh. what is the lenght of gh?

Answers

Answer 1

The value of side GH as shown in the parallelogram is 2 units

What is an parallelogram?

Parallelogram is a polygon that has four sides (quadrilateral) and opposite sides are always equal and parallel to each other

Two shapes are said to be similar if they have the same shape and the ratio of their corresponding sides are proportional. Also, their corresponding angles are equal to each other.

Parallelogram abcd is similar to parallelogram efgh, hence:

FG/BC = GH / CD

substituting:

7/21 = GH / 6

GH = 6 * 7/21 = 2

GH is 2 in

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Related Questions

Which of these systems of equations has infinitely many solutions? Explain your choice(s).
a. (1/2)x - 5y = 10
(-1/2)x + 5y = -10
b. 7x + 2y = -14
-7x + 2y = -14
c. x + 6y = -18
x - 6y = 18
d. (3/4)x - 9y = 12
(-3/4)x + 9y = 12

Answers

The system of equations in C) x + 6y = -18 and x - 6y = 18 has infinitely many solutions.

To see this, you can solve for x in one of the equations and substitute that expression for x in the other equation. For example, if you solve for x in the second equation, you get:

x = 18 + 6y

Substituting this expression for x in the first equation gives:

(18 + 6y) + 6y = -18
24y = -36
y = -1.5

Substituting this value for y back into the expression for x gives:
x = 18 + 6y = 18 + 6(-1.5) = 18 - 9 = 9

So, one solution to the system of equations is (x, y) = (9, -1.5). However, since there is a variable on both sides of the equation, there are infinitely many solutions to this system of equations.

All of the other systems of equations have either no solutions or exactly one solution.

how to solve this equation for x x/3+7-5

Answers

the answer is right there

f(x)=3^x+1 and g(x) = 2x-4, find f(2) - g(-1)

Answers

Answer:

16

Step-by-step explanation:

3^x +1 = f(X)

2x-4 = g(x)

find f(2)-g(-1)

we substitute in function f(X) by value (2), and in function g(X) by value (-1)

1. 3^x +1 becomes 3^2+1 =9+1=10

2. 2(-1)-4= -2-4=-6

then f(2)-g(-1)

= 10-(-6) =10+6=16

Peter works in the Spring Roll restaurant. He earns $15.50 per hour plus tips of 15% of food sales. If Peter works 35 hours this week and has $4000 of food sales, how much does he earn in total?

Base salary =
Tips =
Total earnings =

Answers

You just need to multiply $15.50 with 35 giving us $542.50. Now you need to multiply $4,000 with 0.15 giving us $600, then you add both sums to get $1,152.50

Which of the following are examples of voluntary exchange ? SELECT ALL THAT APPLY .

Elena swaps her cookies for a
friend's doughnut.

Jesse spends $12 to see a movie.

Jan buys herself a jacket that she really can't afford.

Miguel pays $250,000 for a new house.

Answers

Elena swaps her cookies for a friend's doughnut is the examples of voluntary exchange. Hence,

What is voluntary exchange?

A voluntary exchange occurs when two parties freely exchange products or services without the use of coercion or other restrictive measures. Both parties will gain from the deal and both parties want to make the exchanged items. The idea of voluntary exchange is crucial to a free market economy.

Customers also willingly swap money to buy his strawberries. They can choose to buy strawberries somewhere else if they see that some of his strawberries have flaws. This is a voluntary exchange because both sides gain from it.

One of the most crucial principles of economics is voluntary exchange. In a market economy, where producers and consumers freely exchange products and services, this transaction is taking place. In the end, both sides benefit from the process.

Thus, option A is correct.

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Find the slope of the line shown on each graph below

Answers

The slope of the lines that passes trough the points (-2,-1) and (-4,-7) is m = 3 , (2,-3) and (6,-13) is m = -2.5 , (-3,4) and (-3,-8) is m = undefined , (-5,7) and (3,-1) is m = -1 .

What is slope ?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope.

The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b).

(-2,-1) and (-4,-7)

           m=Δy/Δx

           m=(y2−y1)/(x2−x1)

           m=(−7−−1)/(−4−−2)

           m=−6/−2

           m = 3

(2,-3) and (6,-13)

          m=Δy/Δx

          m=(y2−y1)/(x2−x1)

          m=(−13−−3)/(6−2)

          m=−10/4

          m=−5/2

          m = -2.5

(-3,4) and (-3,-8)

           m=Δy/Δx

           m=(y2−y1)/(x2−x1)

           m=(−8−4)/(−3−−3)

           m=−12/0

          m is undefined

(-5,7) and (3,-1)

            m=Δy/Δx

            m=(y2−y1)/(x2−x1)

            m=(−1−7)/(3−−5)

            m=−8/8

            m = -1

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The Science Club went on a two-day field trip. On the first day, the members paid $60 for transportation plus $15 per ticket to the planetarium. On the second day, they paid $95 for transportation plus $12 per ticket to the geology museum.

Write an expression to represent the total cost for two days for the ₙ members of the club.

Answers

Answer: Let n be the number of members in the Science Club.

On the first day, the total cost for transportation plus the cost of tickets is 60 + (15n) dollars.

On the second day, the total cost for transportation plus the cost of tickets is 95 + (12n) dollars.

So, the total cost for both days is (60 + 15n) + (95 + 12n) = 155 + 27n dollars.

The expression to represent the total cost for two days for the n members of the club is 155 + 27n dollars.

This equation represents the total cost for the transportation, planetarium and geology museum for 2 days for the n members in the club.

It should be noted that this is the monetary representation and it might vary depending on other factors, such as group discounts.

Step-by-step explanation:

Answer:

(n x 27)+155

Step-by-step explanation:

15 +12 = 27

Each member pays $27 for the tickets so we multiply it by the number of members.

95 + 60 = 155

The members pay $155 in total for transportation.

A new homeowner is purchasing a living room set for $2,975 and must decide between two financing offers.

Offer 1: $250 down payment, 24.90% interest rate, compounded monthly, for 3 years, with no payments due for 6 months and then fixed payments of $139.05 for the remainder of the loan term

Offer 2: $400 down payment, 22.90% interest rate, compounded monthly, for 3 years, with no payments due for 12 months and then fixed payments of $165.76 for the remainder of the loan term

Part A: What is the total cost of offer 1? Explain which technology you used to solve and each step of your process. (3 points)

Part B: What is the total cost of offer 2? Explain which technology you used to solve and each step of your process. (3 points)

Part C: Which financing offer should the new homeowner choose? Explain your reasoning. (4 points)

Answers

Answer:

To compare the two financing offers, we need to calculate the total cost of each offer.

Part A: What is the total cost of offer 1?

To calculate the total cost of offer 1, we need to first calculate the total amount of interest that will be paid over the course of the loan. We can do this using the following formula:

Total interest = (interest rate/12) * loan amount * number of payments

In this case, the loan amount is $2,975, the interest rate is 24.90%, and the number of payments is 36 (3 years * 12 months/year). Plugging these values into the formula, we have:

Total interest = (0.2490/12) * $2,975 * 36

Calculating, we find that the total interest is approximately $1,534.89.

To calculate the total cost of the loan, we need to add the total interest to the original loan amount. In this case, the total cost is $2,975 + $1,534.89 = $4,509.89.

Therefore, the total cost of offer 1 is $4,509.89.

Part B: What is the total cost of offer 2?

To calculate the total cost of offer 2, we need to first calculate the total amount of interest that will be paid over the course of the loan. We can do this using the following formula:

Total interest = (interest rate/12) * loan amount * number of payments

In this case, the loan amount is $2,975, the interest rate is 22.90%, and the number of payments is 36 (3 years * 12 months/year). Plugging these values into the formula, we have:

Total interest = (0.2290/12) * $2,

To continue the calculation of the total cost of offer 2, we need to calculate the total interest using the formula:

Total interest = (interest rate/12) * loan amount * number of payments

In this case, the loan amount is $2,975, the interest rate is 22.90%, and the number of payments is 36 (3 years * 12 months/year). Plugging these values into the formula, we have:

Total interest = (0.2290/12) * $2,975 * 36

Calculating, we find that the total interest is approximately $1,405.70.

To calculate the total cost of the loan, we need to add the total interest to the original loan amount. In this case, the total cost is $2,975 + $1,405.70 = $4,381.70.

Therefore, the total cost of offer 2 is $4,381.70.

Part C: Which financing offer should the new homeowner choose?

Based on the total cost of the two financing offers, it is more cost-effective for the new homeowner to choose offer 2. Offer 2 has a lower total cost ($4,381.70) compared to offer 1 ($4,509.89), so it would be the better choice for the new homeowner.

Step-by-step explanation:

To calculate the total cost of Offer 1, we can use the formula for the present value of an ordinary annuity:

PV = PMT * (1 - (1 + r)^-n) / r

Where PV is the present value (in this case, the total cost of the loan), PMT is the fixed payment amount, r is the monthly interest rate (in decimal form), and n is the number of payments.

Plugging in the values from Offer 1, we get:

PV = $139.05 * (1 - (1 + 0.2490)^-36) / 0.2490

Using a calculator or spreadsheet to compute the exponent and division, we find that the total cost of Offer 1 is $4,941.51.

To calculate the total cost of Offer 2, we can use the same formula:

PV = $165.76 * (1 - (1 + 0.2290)^-36) / 0.2290

Using a calculator or spreadsheet to compute the exponent and division, we find that the total cost of Offer 2 is $4,847.93.

Based on these calculations, the new homeowner should choose Offer 2, as it has a lower total cost. This decision is based on the fact that Offer 2 has a lower interest rate and a longer period of time with no payments due, which results in a lower present value (total cost) of the loan.

To solve these problems, I used the present value of an ordinary annuity formula and a calculator or spreadsheet to compute the exponent and division.

The smallest size of a hybrid bike, a bike that can be ridden both on and off dirt, is 16.9 inches . Bikes are fitted using a person's inseam with the smallest inseam for a hybrid bike being 25 in. For inseams 25 inches ( in .) or longer, each 0.68 of an inch increase in bike size, a person's inseam is 1 inch longer. A medium size bike has a range of 20.9 in. to 22 in. Write an inequality, where x is the length of an inseam, in inches, that can be used to determine the inseam sizes that best fit a medium size bike.​

Answers

The inequality that can be used to determine the inseam sizes that best fit a medium size bike is 25 < x < 28.32.

A cone consitst of these measure but need to find the volume and surface area. The diameter is 16m, height is 8m, and the slant height is 11.31m.

A.) V=769.17m³ SA=535.89m²
B.) V= 535.89m SA=769.17m
C.) V=535.89m³ SA= 769.17m²
D.) V=1607.68m³ SA=769.56m²

Answers

To find the volume and surface area of a cone, you can use the following formulas:

Volume = (1/3) * pi * radius^2 * height
Surface area = pi * radius * (radius + slant height)

In this case, the diameter is 16m, so the radius is 8m. The height is 8m and the slant height is 11.31m. Substituting these values into the formulas gives:

Volume = (1/3) * pi * 8m^2 * 8m = (1/3) * pi * 64m^3 = 21.333m^3 * 64m^3 = 1,365.33m^3
Surface area = pi * 8m * (8m + 11.31m) = pi * 8m * 19.31m = pi * 153.48m^2 = 483.04m^2

So, the volume of the cone is 1,365.33m^3 and the surface area is 483.04m^2. The correct answer is therefore C) V=535.89m³ SA= 769.17m².

A new business borrows $320,000 at a yearly simple interest rate of 7%.
The total
amount the company repays for the loan and interest is $678,400. How long did it
take to pay off the loan? Pls help Mee!!

Answers

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 678400\\ P=\textit{original amount deposited}\dotfill & \$320000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years \end{cases} \\\\\\ 678400 = 320000[1+(0.07)(t)] \implies \cfrac{678400}{320000}=1+0.07t\implies \cfrac{53}{25}=1+0.07t \\\\\\ \cfrac{53}{25}-1=0.07t\implies \cfrac{28}{25}=0.07t\implies \cfrac{\frac{23}{25}}{0.07}=t\implies \boxed{16=t}[/tex]

please help me with this thank you.​

Answers

A) 4:00 PM
B) 1:55 PM

32 is 32% of what?????

Answers

Answer:

32 is 32% of 100

Step-by-step explanation:

Answer: 100

Step-by-step explanation: 32 is 32% of 100

What is an equation of the line that passes through the points (4,7) and (-3,7)

Answers

Answer:y=

Step-by-step explanation:Firstly let's find the slope which is (7-7)/(4-(-3))=0. Using the point slope formula y-y1=m(x-x1) we plug in one of the points and simplify y-7=0(x-4). Simplifying and solving for y gives us y=

The equation below represents the amount of work required to complete a project, where x represents the number of hours each group member must contribute to the project. How many hours does each group member work on the project? x+45/4=4x 2 hours 4 hours 16 hours 3 hours

Answers

The number of hours does each group member work on the project is 4 hours. Therefore, the correct answer is option B.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is x+45/4=4x.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

4x-x=45/4

3x=45/4

x=15/4

x=3.75

x≈4 hours

Therefore, option B is the correct answer.

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I just need help with question A

Suppose your cousin missed class and asks you, “Why do we plug in 0 for x to find y-intercepts and 0 for y to find x-intercepts? That doesn’t make sense to me.” Explain to your cousin WHY this process works. Use the line

5x+4y=14 as an example.

A) A description in words why this works

Answers

The reason why the cousin's procedure for getting the x and y intercepts work is because they represent the definition of those points on a graph.

How to find the x and y intercepts?

The x-intercept of a graph or function simply refers to the point at which the graph crosses the graph crosses the x-axis or the point at which y = 0. In a similar manner, the y-intercept simply refers to the point at which the graph crosses the y-axis or simply the point at which x = 0.

Now, we are given the equation of the line as;

5x + 4y = 14

The general form of equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Rewriting the equation of the line in slope intercept form is;

y = -⁵/₄x + ⁷/₂

Now, the reason why we plug in 0 for x to get the y-intercept is because when x = 0, that is only where we can get the y-intercept as the corresponding value of x will be traced to 0.

Similarly,  the reason why we plug in 0 for y to get the x-intercept is because when y = 0, that is only where we can get the x-intercept as the corresponding value of y will be traced to 0.

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Which expression is equivalent to 3/2?

Answers

On solving the provided question we can say that  expression which is equivalent form to 3/2 is (5/2-1).

What is Equivalent form ?

Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Equivalent systems refer to sets of equations with the same solution. We can create an analogous system from a system of two equations by replacing one equation with the total of the two equations or by replacing an equation with a multiple of itself.

When two expressions can be reduced to a single third expression or when one of the expressions can be expressed in the same way as the other, they are said to be equivalent. When values are replaced for the variable and both expressions yield the same result, you may also tell if two expressions are equal.

The number is 3/2

The expression which is equivalent to 3/2 is (5/2-1)

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Solve: S=2(lw+lw+wh) for w

Answers

Answer:

[tex]w=\frac{s-2lh}{2(h+l)}[/tex]

Step-by-step explanation:

Given the equation, [tex]S=2(lw+lh+wh)[/tex], solve for w.

[tex]S=2(lw+lh+wh)[/tex], distribute the 2.

=> [tex]S=2lw+2lh+2wh[/tex], subtract [tex]2lh[/tex] from both sides.

=> [tex]S-2lh=2lw+2wh[/tex], factor out a [tex]w[/tex] from the right-hand-side.

=> [tex]S-2lh=w(2l+2h)[/tex], now divide [tex](2l+2h)[/tex] from each side.

=>[tex]\frac{S-2lh}{2l+2h}=w[/tex]

Final answer: [tex]w=\frac{s-2lh}{2(h+l)}[/tex]

7. {MCC.7.G.2} *
Which set of numbers cannot
represent the lengths of the sides
of a triangle?
A) 7, 9, 12
B) 8, 6, 7
C) 8, 20, 12
D) 10, 13, 20
O A
B
O D

Answers

If

f

(

x

)

=

2

x

4

9999999kwwkqkkaosos

y to the -3 power
pls help!!!!!!!!!

Answers

Answer:

any number goes down 3 places

Step-by-step explanation:

EX:10 to the power of -3 = 0.001

find angle D thank you so much need help. geomtry

Answers

The angle m∠D of the triangle is 78 degrees.

How to find the angles of a triangle?

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

The ΔKDT and ΔKPQ are isosceles triangle.

Isosceles triangle is a triangle that has two sides and angles equal to each other.

Therefore,

∠D + ∠T + ∠k = 180

∠D  = 6x + 6

∠T = 6x + 6

∠K = 2x

Therefore,

6x + 6 + 6x + 6 + 2x = 180

14x + 12  = 180

14x = 180 - 12

14x = 168

divide both side by 14

x = 168 / 14

x = 12

Therefore,

m∠D = 6x + 6 = 6(12) + 6 = 72 + 6 = 78 degrees.

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pls help, last question. the one circled in red

Answers

On solving the provided question, we can say that - in the linear equation y = 1/2x + 5, slope, m = 1/2

What is a linear equation?

The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

here,

in the linear equation =>

y = +1/2x + 5

on comparing with y = mx +c

slope, m = 1/2

and, c= +5

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Identify and write down the keywords in the word problem. (1.) Jared and Missy are buying refreshments for their class party. Jared is buying a variety case of juice for $20. Missy is buying cartons of grape juice for $2 and cartons of apple juice for $3. Evaluate the expression 2g + 3a when g = 4 and a = 8 to find the cost of buying 4 cartons of grape juice and 8 cartons of apple juice. What is the difference in price Missy and Jared paid? Show your work.

Answers

The cost of the 4 cartons of grape juice and 8 cartons of apple juice will be $32 and the difference is $12.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Jared and Missy are buying refreshments for their class party. Jared is buying a variety case of juice for $20. Missy is buying cartons of grape juice for $2 and cartons of apple juice for $3.

The cost of 4 grapes and 8 apples will be,

Cost = 2g + 3a

Cost = ( 2 x 4 ) + ( 3 x 8 )

Cost = 8 + 24

Cost = $32

The difference in the price  Missy and Jared paid is,

Difference = $32 - $ 20

Difference = $12

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How can you use this pattern to find 3°

Answers

Number pattern, sequence, finding the algebraic rule and using a ... To illustrate this, consider the following sequence of numbers {1, 3, 5, 7, 9, …}.

What is Number pattern?

Number pattern is a pattern or sequence in a series of numbers. This pattern generally establishes a common relationship between all numbers.Here, we get the numbers in the pattern by skip counting by 5. Given are the steps to identify a number pattern.To solve the problems of number pattern, we need first to find the rule being followed in the pattern.

To find out the rule, we need to see the first few numbers in the series.Try to see the difference between consecutive numbers, it will help us understand the relationship between the numbers.Number pattern is a pattern or sequence in a series of numbers. This pattern generally establishes a common relationship between all numbers. For example: 0, 5, 10, 15, 20, 25, … Here, we get the numbers in the pattern by skip counting by 5.

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The complete question is -

How can you use this pattern to find 3° of the number in Series ?

Please help I don’t understand this

Answers

On solving the provided question, we can say that - the area of the following rectangle is 200 cm sq.

What is rectangle?

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

here,

we have

L = 20 cm

and B = 10 cm

Area of rectangle, A =L X B = 20 X 10 = 200 cm sq.

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40% of an hour?

(I've tried 24 minutes...it's not the answer)

Answers

40% of an hour is 24 minutes.

Given there are 60 minutes in an hour, we can multiply this by 0.4 to find that 24 minutes constitutes 40% of an hour. I assume the system is not working properly for you, but 40% of an hour is 24 minutes.

40% of an hour is 24 minutes = 2/5 hours.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Given that,

there are 60 minutes in an hour,

we can multiply this by 0.4 to find that 24 minutes constitutes 40% of an hour.

i.e. 60*40%= 24 minutes

Hence, 40% of an hour is 24 minutes = 2/5 hours.

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(5x3)+(nx4)=5(3+4) write each missing number.

Answers

Answer:

5

Step-by-step explanation:

5 x 3 = 15

n x 4 = 4n

3 + 4 = 7

(5 x 3) + (n x 4) = 5(3 + 4)

15 + 4n = 5*7

15 + 4n = 35

4n = 35 - 15

4n = 20

n = 20/4

n = 5

Hence, the value of missing number (n) is 5.

A savings account increased by $75 is now more than $500. What is the least amount of money that was originally put in the savings account?

Answers

The least amount of money that was originally put in the savings account is $426.

What is the least amount of money?

The amount of money in the savings account is a function of the money that was originally in the account and the amount by which the account was increased by.

The inequality that represents the total amount of money in the savings account is:

amount originally in the account + amount deposited > 500

x + $75 > $500

x > $500 - $75

x > $425

The least amount would be $426 because this is the smallest number that is greater than $425 that would make the total amount more than $500.

To check:

$75 + $426 = $501

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Denise and Gabe met for dinner in downtown Belmont. Denise did flat-rate valet parking for $20. Gabe went to another valet and paid $4 up front and $4 for every hour, including the first hour. Ultimately, the friends ended up paying the same amount. How long did they stay? How much did each one pay?

Answers

The ticket would be 28

5.7935 rounded to the nearest thousand ​

Answers

Answer:

5.794

Step-by-step explanation:

The seven after the decimal point is the tenth digit, the nine is the hundredth, and the 3 is the thousandth place. Therefore, we look at our neighbor (the number next to the thousandth place) and if its 5 or more we round up, but if its 4 or less we keep it the same.

Other Questions
How were you able to increase the amount of potential the ball had? A problematic Windows system needs to be restarted. You decide to use a command prompt window that is open. Which command do you use The nurse is caring for an elderly client with depression who is being treated with a tricyclic antidepressant (TCA). Which are clinical manifestations that would alert the nurse that the client is experiencing a complication of treatment with the TCA find xy=\frac{1}{4} x+3 Consider the reaction H2 + I2 2HI for which K = 44.8 at a high temperature. If an equimolar mixture of reactants gives the concentration of the product to be 0.50 M at equilibrium, determine the equilibrium concentration of the hydrogen. A) 1.1 * 10^1 M B) 7.5 * 10^2 M C) 3.7 *10^2 M D) 1.3 * 10^1 M E) 5.6 * 10^3 M What concept refers to the ways that a society keeps people from breaking the laws and norms? Why will the speedup of a parallel algorithm will eventually reach some limit? What are the chronological events? Notch is a receptor protein displayed on the surface of certain cells in developing fruit fly embryos. Notchs ligand is a membrane-bound protein called Delta that is displayed on the surface of adjacent cells. When Notch is activated by its ligand, the intracellular tail of the Notch protein becomes separated from the rest of the protein. This allows the intracellular tail to move to the cells nucleus and alter the expression of specific genes.Which of the following statements best explains Deltas role in regulating cell communication through the Notch signaling pathway?A. Delta transmits a chemical signal to all the cells of a developing embryo.B. Delta allows the cells of a developing embryo to communicate without making direct contact.C. Delta restricts cell communication to short distances within a developing embryo.D. Delta determines which cells in a developing embryo express the gene that encodes the Notch protein. a three tiered birthday cake rests on a table. From the bottom to the top, the cake tiers weigh 15 N, 8N, and 6N, respectively. What is the magnitude and direction of the normal force acting on the base of the seconf tier How do you find the third side? A snake has scaly skin to keep from drying out in the desert. A cactus has sharp spines and a thick stem that keep water in. Which term describes such traits that help organisms survive What is the greatest common factor of 20 and 65 Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions."Evolution of News Media and Social Media"What are some responsibilities of the media? How has increased social media impacted citizens' ability to gain information. Calculate the size of angle ABC Suppose there are two possible income distributions in a society of ten people. In the first distribution, nine people have incomes of $30,000 and one person has an income of $10,000. In the second distribution, all ten people have incomes of $25,000. If the society had the first income distribution, the utilitarian would argue that the marginal utility of income for the person with an income of $30,000 is than the marginal utility of income for someone with an income of $10,000, so income be redistributed. Rawls considers distribution to be more equitable. True or False: Nozick considers neither distribution to be more equitable. True False What is the formula for total risk? A right triangle has one leg with a length of 5 units. The hypotenuse is 30 units long. What is the length of the other leg?A. 5 UnitsB. 25 Units C. V 875D. V 375 1.2/4=x/28 what is the value of x How do you know if 3 lengths will make a triangle?