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Silakan

Answer:

Step-by-step explanation

That's the answer

The position of the √6 on the number line is slightly right of the 2.4.

We need to determine the approximate location of √6 on the number line.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,

In the general conclusion,

√4< √6 < √9

2 < √6 < 3

So, the value of the √6 lies between 2 and 3.

√6 = 2.445

So the position of the √6 on the number line is slightly right of the 2.4.

Thus, the position of the √6 on the number line is slightly right of the 2.4.

Learn more about number line here:

brainly.com/question/17683084

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Answer:  650 miles

Step-by-step explanation:

If it takes 5 hours to go from Paris to Geneva and a train is travelling at 130 miles per hour then multiply the total number of miles per hour by 5 to find how many miles you will have to travel from Paris to Geneva.

130 * 5 =  650

Answer:

The radius of each rug on the order is 6 ft

Step-by-step explanation:

The graph shows the relationship between the price of a rug and the radius of the rug

The number of rugs ordered by the customer = 3 rugs

The total cost of the rugs ordered by the customer = $1,350

Therefore, the cost of each rug = $1,350/3 = $450

The radius of the rugs as determined from the chart

At $450, the radius of the rug = 6 ft

Therefore;

Given that all the rugs are identical, the radius of each rug on the order = 6 ft.

Answer:

7

Step-by-step explanation:

We first start by simplifying the bracket.

(6 - 5) = 1,

Now we have

3(1) + 4

3 + 4 = 7

also, if you expand instead of simplifying, you get.

(3*6 - 3*5) + 4

(18 - 15) + 4

3 + 4 = 7

Irrespective, the answer is 7

Answer:

18

Step-by-step explanation:

I am assuming you meant 8r-rs, in this case:

Plug in r=6 and s=5:

8(6)-(6)(5)

8*6 = 48 and -6*5= -30

Thus,

48-30= 18

Answer  78

Step-by-step explanation:

Answer:

No  real solution

Step-by-step explanation:

First off I'm assuming that the 1 or -1 at the begging is just the problem number:

First you distribute on both sides

36 - 18x - 3 = 4 - 18x + 30

Then combine like terms

33 - 18x = 34 - 18x

Then rearrange the terms by adding 18x to both sides and subtracting both sides by 33. You should get:

0 = 1

When you add positive 18x it cancels the -18x out. And 34 - 33 is 1. Obviously, zero cannot equal 1 so there is no real solution

Answer:

...not lie on the same plane.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached below.

Since all the sides and angles of a rhombus are the same, hence, all the right angled triangle in each quadrant are also the same.

From the diagram, < XWZ = < XWV + < VWZ and < XWV = < VWZ

Therefore < XWZ = < VWZ + < VWZ

< XWZ = 2<VWZ

let us calculate the angle <VWZ first.

From ΔVWZ, <WVZ +<WZV + <VWZ  = 180°... 1

From the diagram <WVZ = 90°, <WZV = <VZY = 64°

On substituting into 1

90°+64°+ <VWZ  = 180°

154°+ <VWZ  = 180°

<VWZ  = 180°-154°

<VWZ  = 26°

Since < XWZ = 2<VWZ

< XWZ = 2(26°)

< XWZ = 52°

Hence the measure of < XWZ is 52°

Answer:

Jose ends up with more money with $59 more than Peter.

Step-by-step explanation:

To determine the amount they will have, you have to use the formula to calculate the future value:

FV=PV(1+r)^n

FV= future value

PV= present value

r= rate of interest

n= number of periods of time

-Peter:

FV=1,000*(1+0.04)^10

FV=1,000*1.48

FV=1,480

-Jose:

FV=900*(1+0.05)^11

FV=900*1.71

FV=1,539

Difference: $1,539-$1,480=$59

According to this, the answer is that Jose ends up with more money with $59 more than Peter.

Answer:

Step-by-step explanation:

The point on the x-axis is 2

The point on the y - axis is -3

Answer:

L = 150 - 15t

Step-by-step explanation:

Money borrowed by Ariana = $150

Money she returns each week = $15

Amount of borrowed money will decrease by $15 each week.

In 1 week she will return $15

in 2 week she will return $15*2 = $30

in 3 week she will return $15*3 = $45

...........................

similarly after t week

money she will return = Money she returns in 1 week* no of weeks

money she will return in t weeks = 15*t = 15t

where 15t unit is dollar

So, Amount of borrowed money will decrease by $15t in  t week.

Amount of money she woes after t week = Money borrowed by Ariana - money returned in t weeks

Amount of money she woes after t week = 150 - 15t

Since L represents the amount Ariana owes  ,her friend after t weeks

L = 150 - 15t is the correct answer

Answer:

Step-by-step explanation:

yes

Answer: (9,950 to 10,049)

Step-by-step explanation:

The nearest hundred is the third digit (counting from the right).

When we round up/down, we must look at the previous digit (the second in this case).

If the digit is larger than 5, we round up

if the digit is 5 or less, we round down.

Then if the rounded number is 10,000.

The rounded down version will be:

10,049

(49 < 50, then we should round down to 10,000)

The rounded up version will be:

9,950.

this number would be the smallest number that can be rounded up to 10,000.

Then the possible range is:

(9,950 to 10,049)

Answer:

slope:  1 /8

y-intercept:  ( 0 , − 1 /4 )

Answer:

[tex]\frac{s}{2t}[/tex]

Step-by-step explanation:

When you have exponents above a like term and they are being multiplied together, you add them.

For example:

[tex]a^{x} *a^{y} = a^{x + y}[/tex]

So let's group like terms in the numerator:

[tex]4r^{3} r^{-5} s^{-2} s^{-1}t[/tex]   We can add terms like in the example.

[tex]4 r^{-2} s^{-3} t[/tex]

Let's rearrange the denominator.

[tex]8r^{-2} s^{-4} t^{2}[/tex]

Now we have:

[tex]\frac{4r^{-2} s^{-3}t}{8 r^{-2} s^{-4} t^{2} }[/tex]  Cancel like terms

4/8 = 1/2    

[tex]r^{-2} /r^{-2}[/tex] = 1  So it cancels

[tex]s^{-3} / s^{-4} = s^{-1}[/tex] = s Since s is raised to the -1 it goes on top and becomes s.

[tex]t / t^{2} = 1/t[/tex]

Now we combine everything back together:

[tex]\frac{s}{2t}[/tex]

Answer: 2,977,200 miles per hour

Step-by-step explanation: This is true because taking that that is miles per second there is 60 seconds in a minute so times that by 60 and there are 60 minutes in an hour so times that last answer by 60 again which gives you the answer

there isn't enough information

you need to put the image or the amount of inches of rain to get an answer

Answer:

108

Step-by-step explanation:

they are supplemntary meaning the sum of the equals 180

180 - 72 = 108

Answer:

<7= 108

Step-by-step explanation:

Angle 6 and angle 7 form a straight line. A straight line always equals to 180, so you subtract 180 from 72. 180-72=108

hey the square root is 20

Answer:

20.37

Step-by-step explanation: caculated!!

Answer:

a^ (5/2)

Step-by-step explanation:

a^5 ÷ a ^ (5/2)

We know that x^b ÷ x^c = x^ ( b-c)

a^ ( 5 - 5/2)

a^ ( 10/2 - 5/2)

a^ (5/2)

Answer:

[tex]a^{\frac{5}{2} }[/tex]

Step-by-step explanation:

Using exponent rules, if we have [tex]a^x \div a^y[/tex] then the result can simplify to [tex]a^{x-y}[/tex]

So [tex]a^5 \div a^{\frac{5}{2}}[/tex] is the same as [tex]a^{5 - \frac{5}{2}}[/tex].

[tex]\frac{5}{1} - \frac{5}{2} = \frac{10}{2} - \frac {5}{2} = \frac {5}{2}[/tex]

So [tex]a^{\frac{5}{2}}[/tex].

Hope this helped!

Answer: $90,000 at 12%

and $80,000 at 9%

Step-by-step explanation:

given data:

cost of property = $170,000.

short term = 12%.

long term = 9%.

total interest paid = $18,000.

Step 1

= 0.12x + 0.09 (170,000-x) = 18,000

collect like terms

= 0.12x +  15300 – 0.09x = 18,000

divide both Sides by 0.03

0.03x = 2700

x = $90,000 at 12%

and $80,000 at 9%

Answer:  see proof below

Step-by-step explanation:

Use the following Sum to Product Identities:

[tex]\sin x+\sin y=2\sin\bigg(\dfrac{x+y}{2}\bigg)\cos \bigg(\dfrac{x-y}{2}\bigg)\\\\\\\cos x-\cos y=-2\sin\bigg(\dfrac{x+y}{2}\bigg)\sin \bigg(\dfrac{x-y}{2}\bigg)[/tex]

Proof LHS →  RHS

[tex]\text{LHS:}\qquad \qquad \qquad \qquad \dfrac{\sin \theta-\sin 3\theta+\sin 5\theta -\sin 7\theta}{\cos \theta -\cos 3\theta -\cos 5\theta +\cos 7\theta}[/tex]

[tex]\text{Regroup:}\qquad \qquad \qquad \dfrac{(\sin 5\theta+\sin \theta)-(\sin 7\theta +\sin 3\theta)}{-(\cos 5\theta -\cos \theta) +(\cos 7\theta -\cos 3\theta)}[/tex]

[tex]\text{Sum to Product:}\quad \dfrac{2\sin\bigg(\dfrac{5\theta +\theta}{2}\bigg)\cos \bigg(\dfrac{5\theta -\theta}{2}\bigg)-2\sin \bigg(\dfrac{7\theta + 3\theta}{2}\bigg)\cos \bigg(\dfrac{7\theta - 3\theta}{2}\bigg)}{2\sin\bigg(\dfrac{5\theta +\theta}{2}\bigg)\sin \bigg(\dfrac{5\theta -\theta}{2}\bigg)-2\sin \bigg(\dfrac{7\theta + 3\theta}{2}\bigg)\sin \bigg(\dfrac{7\theta - 3\theta}{2}\bigg)}[/tex]

[tex]\text{Simplify:}\qquad \qquad \dfrac{2\sin 3\theta \cos 2\theta-2\sin 5\theta \cos 2\theta}{2\sin 3\theta \sin 2\theta-2\sin 5\theta \cos 2\theta}[/tex]

[tex]\text{Factor:}\qquad \qquad \dfrac{\cos 2\theta(2\sin 3\theta -2\sin 5\theta \cos 2\theta)}{\sin 2\theta(2\sin 3\theta -2\sin 5\theta \cos 2\theta)}[/tex]

[tex]\text{Simplify:}\qquad \qquad \dfrac{\cos 2\theta}{\sin 2\theta}\\\\.\qquad \qquad \qquad =\cot 2\theta[/tex]

LHS = RHS:  cot 2Ф = cot 2Ф   [tex]\checkmark[/tex]

Answer:

750 minutes

Step-by-step explanation:

james read 2 pages in 3 minutes so to read 250 pages it will be 250 x 3=750

Answer:

4p - 7 = 13

Step-by-step explanation:

The first step of the solution should be to simplify the left side by combining like terms. In this case, 3p and p are the like terms and 3p + p = 4p so the answer is 4p - 7 = 13.

Answer:

4p - 7 = 13

Step-by-step explanation:

Answer:

The percentage difference between 3.4 and 3.42 is 0.58651% or 0.02.

Step-by-step explanation:

Find the absolute difference between two numbers: |20 - 30| = |-10| = 10

Find the average of those two numbers: (20 + 30) / 2 = 50 / 2 = 25

Divide the difference by the average: 10 / 25 = 0.4

Express it as percentages: 0.4 * 100 = 40%

in this case, it would be 3.4 and 3.42

Answer: 0.02

Step-by-step explanation: 3.42 is bigger than 3.4 and they are asking for the difference between the two measurements. So, you subtract the 3.4 from the 3.42