Mathematics College

#6.
Find the irrational number to the nearest hundredth without using a calculator or number line.

Sorry it looks like that I hope someone understands 45

Answers

Answer 1

We know that the irrational number is between:

6 < √45 < 7

And a good estimation is √45 = 6.71

How to approximate the irrational number?

Here we just need to find a lower and upper bound for the given irrational number.

To do it, we just need to find a square number larger and a square number smaller than the number inside the square root.

The larger one will be:

7*7 = 49

The smaller one will be:

6*6 = 36

Then we can write:

√36 < √45 < √49

6 < √45 < 7

So we now know that our number is between 6 and 7, that is already a good estimation, now you can also try to see if it is closer to 6 or 7, by taking the direct square root you will get:

Now just take the product between numbers of the form:

6.10*6.10 = 37.21

And so on, until we almost reach 45.

We will get:

6.71*6.71 = 45.02

So a good estimation is √45 = 6.71

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Related Questions

PLEASE HELP! TRIGONOMETRY:
A passenger in an airplane at an altitude of 10 kilometers sees two towns directly to the east of the plane. The angles of depression to the towns are 24° and 53° (see figure). How far (in km) apart are the towns? (Round your answer to one decimal place.)

Answers

Using relations in a right triangle, it is found that the distance between the towns is of 15 km.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

For the first town, we have that:

The internal angle of the triangle 90 - 53 = 37º.The opposite side to the angle is the horizontal position xA.The adjacent side to the angle is of 10 km.

Hence:

tan(37º) = xA/10

xA = 10 x tan(37º).

xA = 7.5 km.

For the second town, we have that:

The internal angle of the triangle 90 - 24 = 66º.The opposite side to the angle is the horizontal position xB.The adjacent side to the angle is of 10 km.

Hence:

tan(66º) = xB/10

xB = 10 x tan(66º).

xB = 22.5 km.

Hence the distance is:

22.5 km - 7.5 km = 15 km.

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Is this a function ?

Answers

Answer:

Step-by-step explanation:

Functions are wavy lines

Answer:

yes

Step-by-step explanation:

if we multiply by 5 to the difference of 1 out of six part of Times of 15 and 3 then find the number

Answers

Answer:

1 out of 6 part of time 15 and 3 mains time 15 and 3 has 6 parts and that you should take one out of this six paths

1/6 (15 x 3) = 1/6. x 45 = 15/2

then,multiple by 5

15/2 × 575/2 = 37 1/2

explain how to graph the equation on a coordinate plane: y = 3x - 5
lations below are also functions?

Answers

To graph an equation on the co-ordinate plane we plot points that satisfy the given equation .

The graph of a linear equation is two variables gives a straight line on the co-ordinate plane.

To graph a straight line on the co-ordinate plane we take three points or solution of the equation on the line and join them.To calculate the solutions(points) of the line we take some values of x and calculate the corresponding values of y.Then we make a table of the points and graph the equation of the line by joining the points.

the given equation is y=3x-5

at x=0 ,y=3×0-5 or y=-5

at x=2 , y=(3×2)-5 or y=1

at x=-1,y=(3×-1)-5 or y=-8

Now we make the table to get the desired points.

x y point

0 -5 A (0,-5)

2 1 C(2,1)

-1 -11 B (-1,-8)

The graph for the equation y=3x-5 is drawn.

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Find the midpoint of the line segment with the endpoints A and B.
A(10,4); B(8,2)
The midpoint of the line segment is
(Type an ordered pair.)

Answers

The midpoint would be (9, 3)

8
LO
5
15
4
1
In the figure shown above, all the corners form right angles. What is the area of the figure in squ
O 33 square units
O 66 square units
O 70 square units
O 120 square units

Answers

The area of the given figure is 70 square units, that is, option 3.

The area of a rectangle = length × breadth

Here, we need to find the area of the shaded region.

To do this, we will subtract the area of the smaller rectangle from the larger one.

The area of the larger rectangle = 8 × 15

= 120 square units

Now, the we have one side of the smaller rectangle which is 5, the other side will be (15 - 4 - 1) = 10 units.

The area of the smaller rectangle = 10 × 5

= 50 square units

Thus, the area of the shaded region = 120 - 50

= 70 square units

Hence, the area of the figure is 70 square units.

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Your question was incomplete. Please find the missing figure below.

Round to the nearest ten
thousand.
123,045,067

Answers

Answer: 123050000

Step-by-step explanation:

don't take this down again :)

Name the property shown 0+8=8

Answers

Answer:

Step-by-step explanation:

commutative

5. identify

H E L P :(

What is the ratio of fiction novels to all novels? 11 to 5 2:5 5/11 5 to 2

Answers

Answer:

5/11

Step-by-step explanation:

make sure next time to say how much books do you have I have answered a similar question with this wording so I hope this helps :))

500,000 in expanded form

Answers

Answer:

500,000 =

5 × 100,000

+ 0 × 10,000

+ 0 × 1,000

+ 0 × 100

+ 0 × 10

+ 0 × 1

Step-by-step explanation:

there are more then one ways of writing this so here's another example

500,000 =

500,000

+ 0

write the expression (-10) . (-10) . 3 . 3 .3 .3 .3 using exponents

Explain your thinking please

Answers

The exponential form is a way of writing numbers using bases and powers. (-10)^2*3^5 is the expression in exponent form for expression (-10) . (-10) . 3 . 3 .3 .3 .3 .

What is Exponential form?

The exponential form is a way of writing numbers using bases and powers.

Given expression is (-10) . (-10) . 3 . 3 .3 .3 .3, we need to write in exponent form.

An exponential function is defined by the formula f(x) = a^x, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

(-10) is 2 times and 3 is five times,

we can write in the form (-10)^2.(3)^5

Therefore the required answer is (-10)^2.(3)^5 for expression (-10) . (-10) . 3 . 3 .3 .3 .3 .

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What is the least common multiple of 70, 60, and 50?

60

180

210

2,100

210,000

Answers

The least common multiple of 70,60,and 50 is 2,100 :))

NEED HELP!! will give brain list!

Answers

Answer:

-5/40

Step-by-step explanation:

(1/40)(4) + (10/40)(2) - (29/40)(1)

Given the following data, find the weight that represents the 42nd percentile.

Weights of Newborn Babies
8.3 6.5 6.0 5.4 6.7
6.5 8.1 9.2 6.4 8.0
6.8 9.0 8.7 9.3 8.0

Answers

The weight represents the 42nd percentile.

=6.712

This is further explained below.

Find the weight that represents the 42nd percentile.?

Generally, the given data is

8.3,6.5,6,6,5,4,6.7,6.5,8: 1,9.2,6.4,8 0,6.8,9.0,8.7,9.3,8.0

The ascending order of the data is

5.4,6.0,6.4,6.5,6.5,6.7,6.8,8.0,8.0,8.1,8.3,8.7,9.0

n=15.

42ndPercentile

=P_{42}

[tex]=42\left(\frac{n+1}{100}\right)^{\text {th }} \text { term } \\[/tex]

[tex]&=42\left(\frac{16}{100}\right) \text { th term } \\[/tex]

=6.72th term

=6th+0.72(72nd -6th) term

=6.7+0.72(6.8-6.7)

=6.712

In conclusion, the weight represents the 42nd percentile.

=6.712

Answers

The greatest common factor for 4x³+16x² +8x is 4x(x2- 4x - 2).

This solution focuses on simplification:

4x(x2-4x-2)

(4(x3)-24x2)-8x

(22x3-24x2) -8x

Take similar factors aside:

4x3-16x2-8= 4x(x2-4x-2)

Factoring x2 - 4x - 2

x2 is the initial term, and it has a coefficient of 1.

The coefficient of the intermediate term, which would be -4x, is 4.

"The constant," the final term, is -2.

Multiply the constant by the coefficient of the first term. 1 -2 = -2

The second step is to find two -2 factors whose sum is equal to the -4 coefficient of the middle word.

-2 + 1 = -1

-1 + 2 = 1

No two of these factors can be discovered!!

Trinomial cannot be factored.

Hence, The greatest common factor is 4x(x2- 4x - 2).

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Your weight on the Moon is about 1/6 of your weight on Earth. Write and solve an equation to show how much a person weighs on Earth if he weighs 16 pounds on the moon. How could you check that your answer is reasonable??

Answers

Answer:

1/6(x) = 16

Step-by-step explanation:

You can just solve for x which goes as follows:

6 * 1/6 = 6 * 16 - Multiply both sides by 6.

x = 96

Answer:

x=96

Step-by-step explanation:

To figure out the weight of the person on the moon we would need to take their weight and divide by 6. we don't know the weight so it's x. We know the final weight so the x divided by 6 should be 16.

this translates to:

x/6=16

x=16*6

x=96

help pls and tysm ;0

Answers

Answer:

At least 20

Hope this helps :)

Step-by-step explanation:

85 ÷ 3.5 = 24.2857142857

24.2857142857 is approximately rounded to 20.

So she need at least 20 pieces of ribbon (which means greater than or equal to 20 pieces).

Find the area of the figure.

Answers

Answer:

[tex]18 {m}^{2} [/tex]

Step-by-step explanation:

The figure shown in the image is a parallelogram.

To find the area of a parallelogram we use the following formula:

A = b • h (b: base, h: height)

The height is 4.5m while the base is given as 4m

(4.5) • 4 = 18

Since the area is put in square units the answer is

[tex]18 {m}^{2} [/tex]

Four times the lesser of two consecutive even integers is less than twice the greater number. Find the integers.

Answers

There exists no even integer with the given parameters

How to determine the two consecutive even integers?

Consecutive even integers are integers that have a difference of 2

i.e x and x + 2

Where x is the lesser number

Using the given mathematical statement, we have

4x < 2(x + 2)

Divide by 2

2x < x + 2

Subtract x from both sides

x < 2

There is no even number less than 2

Hence, there exists no even integer with the given parameters

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Use the slope formula to find the slope

Answers

The slope of line: 1. m= 6 , 2. m= -6 , 3. m= 2.5, 4. m= .5

The slope of the line :

In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.

The net change in the y-coordinate is represented by Δy and the net change in the x-coordinate is represented by Δx.

Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,

m = change in y/change in x = Δy/Δx

Where “m” is the slope of a line.

Tan θ = Δy/Δx can also represent the slope of the line

So, tan θ to be the slope of a line.

Generally, the slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The letter ‘ m’ usually represents the slope.

If P(x1,y1) and Q(x2,y2) are the two points on a straight line, then the slope formula is given by:

Slope,

m = Change in y-coordinates/Change in x-coordinates

m = (y2 – y1)/(x2 – x1)

Therefore, based on the above formula, we can easily calculate the slope of a line between two points.

In other terms, the slope of a line between two points is also said to be the rise of the line from one point to another (along the y-axis) over the run (along the x-axis). Therefore,

Slope, m = Rise/Run

(-1,-1) & (0,5)

m = (y2 – y1)/(x2 – x1)

m = (5 – (-1)) /(0– (-1))

m = (5 +1)/(0 +1)

m = (6)/(1)

m = 6

(3,5) & (4,-1)

m = (-1 – 5)/(4 – 3)

m = (-6)/(1)

m = -6

(2,1) & (4,6)

m = (6 – 1)/(4 – 2)

m = (5)/(2)

m = 2.5

(-5,-2) & (3,2)

m = (2 – (-2))/(3 – (-5))

m = (2 +2/(3 +5)

m = (4)/(8)

m = (2/(4)

m = (1)/(2)

m = 0.5

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another way to write m-9

Answers

The expression written in another way is -9 + m

What are expressions?

Expressions are mathematical statements that are represented by variables, coefficients and constants

How to rewrite the expression in another way?

The expression is given as:

m - 9

By the subtraction property of an equation, we have

a - b = -b + a

x - y = -y + x

Using the above equations as a guide, we have

m - 9 = -9 + m

Hence, the expression written in another way is -9 + m

Answers

The point on the graph at the function value f(x)=1 is x = -4/5

How to find the point on the graph at the function value f(x)=1?

The equation of the function is given as:

f(x) = 2 - x4x + 6

Rewrite the rational function, properly as follows:

f(x) = 2 - x/4x + 6

When f(x) = 1, we have:

2 - x/4x + 6 = 1

Cross multiply

2 - x = 4x + 6

Collect the like terms

4x + x = 2 - 6

Evaluate the like terms

5x = -4

Divide by 5

x = -4/5

Hence, the point on the graph at the function value f(x)=1 is x = -4/5

Answers

The magnitude of the repulsive force between a +500μC charge and a +100μC charge which are 5 m apart is 2N.

The repulsive force between two charges = (k q₁ q₂)/r²

q₁ q₂ are the charges

r is distance between the charges

k= 9×10⁹ Nm²C²

F= (500μC) (+100μC)9×10⁹/25

= 2N

A movement between two charges that are same or comparable is referred to as repulsion. The tension between two electrons (negative charge). Two charges of a different sort are drawn toward one another by the force of attraction, which is defined as "a force between two charges that are distinct or different."

At a distance, magnetism is an attractive or repulsive force. The repulsive force gives rise to a metric that measures how a system's gravitational mass changes. According to the force-based approach, the forces that attract and repel other atoms come from their subatomic arrangement and control how they behave.

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Lydia is buying some jewelry for her fried Michelle for her birthday. Each set is $5 and shipping is $4 flat. If Lydia buys 4 jewelry sets, how much will she spend?

Answers

When Lydia buys 4 jewelry sets, the amount spent is $24.

How to calculate the value?

From the information given, we are told that Michelle is preparing for her birthday and that each set is $5 and shipping is $4 flat. If Lydia buys 4 jewelry sets.

Therefore, the equation will be:

4 + (5 × x)

where x = number of set

4 + 5x

4 + (5 × 4)

= 4 + 20

= $24

The amount is $24.

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A box of Tyler's favorite snack, Cheesy Snaps, is 13 centimeters tall and 6 centimeters wide.
It is twice as long as it is wide. What is the volume of a box of Cheesy Snaps?

Answers

Answer: 156

Step-by-step explanation:

13x2=26

26x6=156

The required volume of the box is given as 936 cubic centimeters.

Given that, A box of Tyler's favorite snack, Cheesy Snaps, is 13 centimeters tall and 6 centimeters wide. It has twice as long as it is wide.

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
height = 2 × width
height = 2 × 6 = 12
The volume of the box = length × width × height
= 13 × 6 × 12 = 936

Thus, the required volume of the box is given as 936 cubic centimeters.

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The trapezoids are similar. What is the value of x? 50 75 35 7 10

Answers

Answer:

The correct value of x is 15.

Step-by-step explanation:

Each side of the larger trapezoid is 5 times each corresponding side of the smaller trapezoid.

Later you have another chocolate bar. This time, after you give away 1/3 of the bar, a
friend breaks off 3/4 of the remaining piece. What part of the origina chocolate bar do you have
left? Answer this question by drawing a diagram

Answers

Answer:

Step-by-step explanation:

What is the BEST first step for calculating the LCM of 15 and 20

Answers

Step-by-step explanation:

The commonly used methods to find the LCM of 15 and 20 are:

1) Division Method

2) Prime Factorization Method

3)Listing Multiples

The sum of 4,7, and a number amounts to 16 find the number

Answers

Answer:

The unknow number is 5.

Explanation and Check part below

Hope this helps :)

Step-by-step explanation:

1. To solve, first wrote it into an equation. Also, the letter x will stand for the unknown number.

4 + 7 = 11

11 + x = 16

2. Isolate the varable by subtracting 11 from both sides of the equation.

11 + x = 16

- 11 - 11

x = 5

The unknow number is 5.

Check:

11 + 5 = 16

16 = 16

True statement.

What is the solution to
this equation?
5x + 3 = 2x - 6

Answers

The solution to this equation is x = -3

How to determine the solution to this equation?

The equation is given as

5x + 3 = 2x - 6

Collect the like terms

5x - 2x = -3 - 6

Evaluate the like terms

3x = -9

Divide both sides by 3

x = -3

Hence, the solution to this equation is x = -3

#6. Find the irrational number to the nearest hundredth without using a calculator or number line.Sorry it looks like that I hope someone understands 45

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#6.
Find the irrational number to the nearest hundredth without using a calculator or number line.

Sorry it looks like that I hope someone understands 45