27.9km to the nearest km

Answers

Answer 1

Answer: It rounds to 28 km

Explanation:

The units or ones digit is "7". The next digit over (9) is five or larger. This means we bump the 27 up to 28. Everything after the 7 is ignored.

So we could have something like 27.999871212512 and we still follow the same idea of focusing on the 27, bumping it up to 28, and everything else gets ignored.

The reason for this is because 27.9 is much closer to 28 than it is to 27. Draw out a number line to help see this. Split the region from 27 to 28 into 10 equal pieces. The 9th little piece represents 27 & 9/10 aka 27.9

Refer to the number line diagram below.

27.9km To The Nearest Km

Related Questions

If 1000 pencils cost $20, how much
would ten pencils cost? Can somone explain

Answers

Answer:

1000 pencils = $ 20.

10 pencils = ?

10 * 20 / 1000

200/1000

2/10

1/5

0.5.$

Answer:

$0.20

Step-by-step explanation:

If 1000 pencils cost $20, then we must first find the unit rate.

20/1000 = 0.02, so it costs $0.02 for each pencil. To find out what ten pencils cost, we multlipy 0.02 by 10.

0.02 * 10 = 0.2, or $0.20.

Brainliest, please :)

Write an expression that can be used to produce vector b from vector a, and explain how you determined that expression.

Answers

Answer:

Expression that can be used to produce vector b from vector a        

=        T× magnitude of vector a × vector 'a'

Step-by-step explanation:

Given question is based on the concept of vectors

Vectors:-  Vectors is a geometric entity that has both magnitude and direction. Vectors have an initial point at the point where they start and a terminal point that tells the final position of the point. Various operations can be applied to vectors such as addition, subtraction, and multiplication

To produce an another vector form a given vector we increase its magnitude only not its direction as we have to produce another vector 'b' with increased magnitude from a given vector 'a'.

its clear from  the question that only the magnitude of  vector a is increased to produce another vector b

hence we multiply any constant ('T') with the magnitude of vector a to increase its magnitude.

and finally multiply the increased magnitude with the vector 'a' itself to get the answer.

so, the final expression that can be used to produce vector b from vector a is =  T× magnitude of vector a × vector 'a'.

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Transform each graph as specified below.

Answers

Answer:

Transcribed image text: Transform each graph as specified below. (a) The graph of y=f(x) is shown. Graph y=2f(x). (b) the graph of y=g(x) is shown. Graph y=g(2x).

Given the coordinate T(8, -4), find the location of T after a dilation using a scale factor of 0.4.

Answers

The new coordinate will be T'(3.2 , -1.6) .

What is the meaning of Dilation ?

Dilation is the transformation that changes the size of the object without changing its shape .

If a coordinate point is (x,y) and a dilation of scale factor f is applied then the new coordinates will be (fx ,fy)

The coordinate given in the question is T(8, -4)

The scale factor is 0.4

The new coordinate is

T'( 0.4 * 8 , 0.4 * (-4))

T'(3.2 , -1.6)

Therefore the new coordinate will be T'(3.2 , -1.6)

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What are the solutions to the following system?

Answers

The answer is
2x+(3x+4)=6

Every row and every column of this 3 x 3 square must contain
each of the numbers 1, 2 and 3.
What is the value of N + M?
(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

Answers

Answer: (C)  4

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

Reason:

We have "1" in the upper left corner and "2" in the direct middle. This means "3" goes to the left of the "2" since each row and column cannot use repeats. Just below that "3" will go "2".

In summary so far, the first column has 1, 3, 2 in that order when moving from top to bottom. Refer to the values in green in the diagram below.

For identical reasoning, the first row has 1, 3, 2 in that order when moving from left to right. These are the values in light blue.

Once the first row is filled out, we can determine the middle entry of the bottom row, which is "1" marked in pink. This item helps us determine that M = 3 which in turn leads to N = 1.

Therefore, N+M = 1+3 = 4 is the final answer.

Side note: This square has symmetry along the northwest diagonal

[PLEASE HELP!!!!!!!!!]
Identify which equations have one solution, Infinitely many solutions, or no solution.
y+3.2y=20 +2z-1=42+2-2z|
4.5r=3.2+4.5r 21+4=3x+2
No Solution
One Solution
Infinitely Many Solutions
3z +2.5=3.2+3z
1.1+0+2=3.1+

Answers

The list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have given a linear equation in one variable.

[tex]\rm \dfrac{1}{2}y + 3.2y = 20[/tex]

After solving:

y = 5.40   (one solution)

[tex]\rm \dfrac{15}{2}+ 2z -\dfrac{1}{4}=4z+\dfrac{29}{4} -2z[/tex]

After solving:

[tex]\rm \dfrac{15}{2} -\dfrac{1}{4}=\dfrac{29}{4}[/tex]

[tex]\rm \dfrac{29}{4}=\dfrac{29}{4}[/tex] (Infinitely Many Solutions)

3z + 2.5 = 3.2 + 3z

2.5 = 3.2  (no solution)

Similarly, we can identify which equation has No Solution, One Solution, and Infinitely Many Solutions.

Thus, the list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.

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I need help, I need to find the volume of this

Answers

Answer:

396 Km³to the nearest hundred400 Km³

Step-by-step explanation:

volume of a cuboid = Length × Width × Height Cubic units

6 × 11 × 6 =

66 * 6 =

396 Km³

to the nearest hundred

400 Km³

I have a geometry question thank you!

Answers

Answer:

The answer is 1.5.

Step-by-step explanation:

I don't have one

Please help!! I will give 20 points to the correct answer !! Thanks so much

Answers

Answer:

-6 and 10

Step-by-step explanation:

i did this before. np kiddo

Answer:

  -6, +10

Step-by-step explanation:

You are looking for factors of -60 that have a sum of 4. It can be helpful to list them so that they have a positive sum.

  -60 = (-1)(60) = (-2)(30) = (-3)(20) = (-4)(15) = (-5)(12) = (-6)(10)

The sums are 59, 28, 17, 11, 7, 4. The factor pair of -60 that has a sum of 4 is ...

  -6 and 10

_____

Additional comment

The square root of 60 is between 7 and 8, neither of which are factors of 60. That means the above list includes all of the factor pairs of 60. We have chosen the signs so that the sums are positive and the product is negative.

Select the correct answer. The table represents a proportional relationship. x y 11 2 22 4 33 6 The graph represents another proportional relationship. Which equation represents the lower unit rate of these two relationships? A. B. C. D. Reset Next

Answers

The equation which represents the lower unit rate of these two relationships is y = 2x/11.

How to determine the equation?

In order to determine the equation which represents the lower unit rate of these two relationships, we would find the slope of the given points.

Mathematically, the slope of a straight line can be calculated by using this formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Slope = \frac{6\;-\;4}{33\;-\;22}\\\\Slope = \frac{2}{11}[/tex]

Slope = 2/11.

From the standard equation, we have:

y = mx + c

y = 2x/11 + 0

y = 2x/11.

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Which shows the correct substitution of the values a, b, and c from the equation 0=-3x² - 2x + 6 into the
quadratic formula?
Quadratic formula: x=
-b±√√b²-4ac
2a
x = −(−2) ± √(−2)² − 4(− 3)(6)
2(-3)
x= -2±√2²-4(-3)(6)
2(-3)
x==(-
x = −(−2) ± √(-2)² − 4(3)(6)
2(3)
-2±√√2²-4(3)(6)
(=
2(3)

Answers

Answer: [tex]x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4(-3)(6)}}{2(-3)}[/tex]

Step-by-step explanation:

a = -3 , b = -2, and c = 6.

The correct substitution of the values a, b, and c from the equation 0=-3x² - 2x + 6 into the quadratic formula is

x = (-(-2) ± √((-2)² - 4(-3)(6))) / (2(-3)).

The correct option is A.

What is a quadratic equation?

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

To use the quadratic formula with the equation 0=-3x² - 2x + 6, we need to substitute the values of a, b, and c into the formula.

In this case, we have:

a = -3

b = -2

c = 6

Substituting these values into the quadratic formula, we get:

x = (-(-2) ± √((-2)² - 4(-3)(6))) / (2(-3))

Simplifying this expression, we get:

x = (2 ± √(4 + 72)) / (-6)

x = (2 ± √76) / (-6)

We can simplify further by factoring out the square root of 4 from the radical:

x = (2 ± 2√19) / (-6)

Therefore, the required value of x is x = (-(-2) ± √((-2)² - 4(-3)(6))) / (2(-3)).

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Find the 10th term of the geometric sequence whose common ratio is 3/2 and whose first term is 8​

Answers

Answer: 19683/64

Step-by-step explanation:

[tex]a_{n}=8\left(\frac{3}{2} \right)^{n-1}\\\\\implies a_{10}=8 \left(\frac{3}{2} \right)^{10-1}=\boxed{\frac{19683}{64}}[/tex]

Simplify each expression and state whether each is a volume, an area, or neither.
a) n(4)2 x
b) lw+lw+wh+wh+lh+lh
c) 8y2(10y2)

Answers

a. 2n^4b, neither a volume nor an area

b. 2Iw + 2wh + 2Ih, It is an area

c. 80 y^4, neither a volume nor an area

How to simply the algebraic expressions

a. n(4) 2 x b

n * n * n* n* 2 * b

2n^4b

It is neither an area nor a volume

b.  lw+lw+wh+wh+lh+lh

Collect like terms

2Iw + 2wh + 2Ih

It is an area

c. 8y2(10y2)
8y^2 * 10 * y^2

80 y^4

It is neither a volume nor an area

Thus, the expressions are simplified as a. 2n^4b, b. 2Iw + 2wh + 2Ih, c. 80 y^4

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Two numbers are in the ratio 3:8.
The larger number is 96, find the
sum of the numbers

Answers

Answer:

The sum of the numbers is 132

Step-by-step explanation:

First find the smallest number

3/8=x/96 2(96)=8x 288=8x x=36

Thus, you found the smallest number

then there sum given as 96+36=132

What are the intercepts of graphed function.

Answers

Answer:

x-intercept is (-1,0)

y-intercept is (0,-3)

Step-by-step explanation:

An intercept is where the graph crosses the axis.

Here the graph crosses the x-axis (numbered horizontal line that goes left and right) at the point (-1,0)

The graph crosses the y-axis (numbered vertical line that goes up and down) at the point (0,-3). These are what are called intercepts.

IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Find the probability, rounded to four decimal digits, that the person has an IQ greater than 120. Below is a sketch of the normal curve showing the area to be determined

Answers

The probability that the person has an IQ greater than 120 is 0.2524 of 25.24%

What is probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given:

IQ is normally distributed with a mean of 100 and a standard deviation of 15.

probability that the person has an IQ greater than 120,

P(x >120)

= P(Z > 120-100/ 15)

= P(Z > 0.667)

 P(x >120) = 1-  P(Z <  0.667)

                  = 1-0.7476

                 = 0.2524

                = 25.24%

Hence, the probability is 0.2524.

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If you receive a 30% DISCOUNT off an item costing $60.00, how much money do you save?

Answers

Answer:

Money saved  = $18

Step-by-step explanation:

Firstly, the term discount equals the difference between the price paid for and it's par value. Discount is a kind of reduction or deduction in the cost price of a product.

Given

Cost of an Item = 60$

Discount % = 30% on cost

Hence, Discount in $ = 60$*30%

                                   = 18$

Actual Cost = 60$ - 18$ = 42$

Therefore, Savings  = Discount

                    = 18$

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Weights of four-year-olds are Normally distributed, with a mean of 40 pounds and a standard deviation of 1.3 pounds. At his four-year checkup, Marlon’s weight is measured to be greater than 30% of boys his age. How much does Marlon weigh?

Find the z-table here.

37.6 pounds
38.4 pounds
38.7 pounds
39.3 pounds

Picture posted below

Answers

Marlon's weight is 39.3 pounds with a mean weight of 40 pounds and a standard deviation of 1.3 pounds.

We know that the formula for calculating a z-score is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Given that mean weight = 40 pounds.

and standard deviation = 1.3 pounds.

Also given that Marlon is heavier than 30% of boys his age on average, according to measurements.

The z value of 30% is -0.524.

We can put this value in the formula.

-0.524 = (x - 40)/1.3

i.e. (-0.524) * 1.3 = x - 40

i.e. - 0.6812 = x - 40

i.e. x =  40 - 0.6812 = 39.3188

Therefore, we can conclude that Marlon's weight is 39.3 pounds with a mean weight of 40 pounds and a standard deviation of 1.3 pounds. So, the last option is correct.

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The reciprocal of 15 is
1.

Answers

Answer:

1/15 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

simplify (8x2y3)/(2x4y)

Answers

Answer:

1) 8x/2x = 4

2) 2y/4y = 1/2

3) (4 x 1/2 x 3) = 6

4) /2

solutions= 6/2=3


While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning
to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan
now have? Round to the nearest cent.
1 European euro =
1.3687 US dollars

Answers

Answer:

44.70 US dollars

Step-by-step explanation:

euro left=(250/1.3687)-150=32.66(rounded to nearest cents

US dollars=32.66x1.3687

                =44.70US dollars

What is the solution to this system of equations 5x+2y=29
X+4y=13

Answers

Answer:

(5, 2 )

Step-by-step explanation:

5x + 2y = 29 → (1)

x + 4y = 13 → (2)

multiplying (1) by - 2 and adding to (2) will eliminate y

- 10x - 4y = - 58 → (3)

add (2) and (3) term by term to eliminate y

- 9x + 0 = - 45

- 9x = - 45 ( divide both sides by - 9 )

x = 5

substitute x = 5 into either of the 2 equations and solve for y

substituting into (2)

5 + 4y = 13 ( subtract 5 from both sides )

4y = 8 ( divide both sides by 4 )

y = 2

solution is (5, 2 )

Hi people! Can you help me figure this out? I'll mark brainliest!

Answers

D. 12.5

The equation to find the average rate of change is

[tex] \frac{y2 - y1 }{x2 - x1} [/tex]

To find the average rate of change between points (0,20) and (8,120) you need to plug it into the equation so it'll be

[tex] \frac{120 - 20}{8 - 0} [/tex]

this simplifies to

[tex] \frac{100}{8} [/tex]

which is 12.5

a car corporation produced 1560 more cars this month than last. Write a signed number to represent this month's change in the production​

Answers

Answer:

+1560

Step-by-step explanation:

Since the corporation produced 1560 more cars then the answer is simply +1560.

If a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant, then the subpopulations of mechanical and civil engineers are ________ different salaries.

Answers

The subpopulations of mechanical and civil engineers are not earning different salaries.

Difference in average salary

If a study determines the difference in average salary for subpopulations of mechanical engineers and civil engineers is NOT significant.

This assertion simply means that average salaries of the  mechanical and civil engineers are not different.

Thus, the subpopulations of mechanical and civil engineers are not earning different salaries.

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Q5
The following are data from an independent measures experiment comparing
two treatment conditions:
Treatment 1
n=8
M = 8
SS=104
Treatment
n=8
M = 14
SS = 120
a. Do these data indicate a significant difference between the two
treatments?
b. Compute r2 and interpret the size of the treatment effect.

Answers

Answer:

A 2kg block is moved a long a level floor by a horizontal force of 20N if the coefficient of sliding friction is 0.4

what is the acceleration of the blove

Rasberry Crazy Ants, a species found in wall sockets, cellphones, and television sets are
slowly spreading across Texas and are poised to spread across the entire South. Named for
Texas exterminator Tom Rasberry, who spotted ants moving in an erratic swarm in 2002,
the destructive ants are now in 23 counties in Texas, the Austin American-Statesman
recently reported. Although their march in impossible to stop, it is also quite slow. They travel at an average speed of 1.8 feet per day.
a. At that rate, how long will the swarm that is presently centered in Austin, Texas, take to reach your home? Express your answer in the timeframe that is most appropriate.
b. Do you need to be worried about these ants infesting your cellphone or television? Do you need to worry for your children? For your grandchildren? Explain why or why
not.

Answers

The average time taken to travel to Toronto by  the swarm of Rasberry Crazy Ants  is 12,947 Years

What is the calculation for the above Solution?

To arrive at the solution above, we need to look at the information given and the information assumed.

Step 1 - Information given:

The swarm are currently at Austin, TexasThe swarm move at an average speed of 1.8feet/day

Step 2 - Information assumed:

The swarm are travelling to the location of the student which is assumed to be Toronto.

Hence,

Time taken for the swam to get to Toronto (TTS) =

Distance between Austin, Texas and Toronto (DBTT) / Average distance covered per day by the Rasberry Ants. (ADC)

Estimated distance between Austin Texas and Toronto = 2592.6 Kilometers

Time travelled per day by the ants (In Km) = 0.00054864

Thus,

TTS  = DBTT/ADC

= 2592.6 /0.00054864

≈ 4,725,503.06 days or

≈ 12,947 Years

Do I need to be worried about these ants infesting your cellphone or television? Do you need to worry for your children? For your grandchildren?

The answer to both questions is NO.

The average life expectancy in Toronto (as at 2022) is 80 years. Assuming I was born today, it is expected that the time between now and when my last grand child will die is about:

80 x 3 = 240 years.

Given that the ants have to travel 12,947  to get to Toronto, the possibility of my grand children seeing them is zero.

Besides, even if they by chance got to Toronto and infested my grandchildren's residence, they would have nothing to worry about because Rasberry Crazy Ants are 100% harmless.

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what is the measure of 4?

Answers

Answer:

∠ 4 = 80°

Step-by-step explanation:

∠ 5 and 100° are vertical angles and are congruent , so

∠ 5 = 100°

∠ 4 and ∠ 5 are same- side interior angles and sum to 180° , that is

∠ 4 + ∠ 5 = 180°

∠ 4 + 100° = 180° ( subtract 100° from both sides )

∠ 4 = 80°

The owner of a fitness watch would like to determine if the mean number of steps he takes per day differs from the recommended 10,000 steps per day, using α = 0.01. He selects a random sample of 50 days with the intention of testing the hypotheses H0:μ = 10,000 steps versus Ha:μ ≠ 10,000 steps where μ = the true mean number of steps taken per day.

Which of the following values of the alternative hypothesis would yield the greatest power to reject the null hypothesis?

A. u = 9,000
B. u = 9,500
C. u = 10,000
D. u = 10,500

Answers

Answer:

ok so it could be Careful because think about it 10000x 0.01...

Answer:10,000

Step-by-step explanation:

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