ARAT TIETE (Simplify): V125 - V45+ V5​

Answers

Answer 1

Answer:

3[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{125}[/tex]

= [tex]\sqrt{25(5)}[/tex]

= [tex]\sqrt{25}[/tex] × [tex]\sqrt{5}[/tex] = 5[tex]\sqrt{5}[/tex]

[tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]

Then

[tex]\sqrt{125}[/tex] - [tex]\sqrt{45}[/tex] + [tex]\sqrt{5}[/tex]

= 5[tex]\sqrt{5}[/tex] - 3[tex]\sqrt{5}[/tex] + [tex]\sqrt{5}[/tex] ← collect like terms

= 3[tex]\sqrt{5}[/tex]


Related Questions

Write the equation for f(x)=x3
after being translated to the left
8 units and up 3 units.

Answers

Using translation concepts, the equation will be given by:

[tex]g(x) = (x + 8)^3 + 3[/tex]

The parent function is:

[tex]f(x) = x^3[/tex]

Shifting a function left 8 units means that [tex]g(x) = f(x + 8)[/tex], hence:

[tex]g(x) = f(x + 8) = (x + 8)^3[/tex]

Shifting a function up 3 units means that 3 is added to the function, that is, [tex]g(x) = f(x + 8) + 3[/tex], hence:

[tex]g(x) = f(x + 8) + 3 = (x + 8)^3 + 3[/tex]

Which is the desired equation.

You can learn more about translation concepts at https://brainly.com/question/4521517

Margie says the set of numbers, 0. 1, -1, -21 4 , 3, are in order from least to greatest. What is her error? She did not use the correct common denominator. The 3 is in the wrong place. She treated all the numbers as positive. The â€"1 should be the first number on the list.

Answers

Answer:

3 is in the wrong place

Step-by-step explanation:

:)

One of the errors made by Margie by saying the set of numbers 0, 1, -1, -21, 4, 3 is that the -21 should be the first number on the list.

The given set of numbers is:

0, 1, -1, -21, 4, 3.

Margie says that the set of numbers above is in order from least to greatest

Kindly note that:

The negative number with the highest magnitude is the lowest

The positive number with the highest magnitude is the highest

Arranging this number by carefully following the note above, the set of numbers above from the least to greatest is:

-21, -1, 0, 1, 3, 4

It is obvious that Margie made a mistake in arranging the numbers, and one of the mistake is that the -21 should be the first number on the list since it is the most negative

Learn more here: https://brainly.com/question/25874786

does 7x+3x-8 = 2(5x-4) have one solution, no solution, or infinitely many solutions?​

Answers

Answer: only has one solution

Step-by-step explanation:  If you find the answer for 7x+3x-8, youll get 10x+8. This will be the same answer for 2(5x-4). Making them equal and having only one solution

Answer:

x has infinite values.

Step-by-step explanation:

7x+3x-8 = 2(5x-4) = 7x+3x-8 = ||10x-8 = 10x-8||

In this case this we have the same eqations on both sides, x = anything.

In other words, x have infinite values.

help with this graph please and thanks​

Answers

Answer:

Okay, to graph this equation we need to graph the y-intercept first.  This time its 7 for you, meaning 0,7.  So graph (0,7) as your first point.  Then we have your slope, which is -2/3`.  So, from (0,7) we will do rise/run.  So, our next point will be (3,5).  We went down 2 and ran 3.  Since its negative, we went DOWN.

-

if you want a third point, just ask!

-

Hope this helps.

-

<3

In the triangle, x = 3. Find y.
A) y = 6
B) y = 7
y= V3
D) y= 3.72

Answers

Answer:

Below.

Step-by-step explanation:

Using Pythagoras theorem, let's find y.

=> y² = 3² + 3²

=> y² = 9 + 9

=> y² = 18

=> y = √18

=> y = 4.24 (Estimated)

Unfortunately, there is no options of 'y = 4.24'. Please re-check the options you posted.

Hoped this helped.

two mountain bikers leave from the same parking lot and head in opposite directions on two different trails. the first rider goes 8km due east, then rides due south for 15km. The second rider goes 8km due west, then changes directions and rides 20 degrees west of due north for 15km. Both riders have been traveling for 23km, but which one is further from the parking lot?

Answers

Applying the required rule or theorem, it can be concluded that the second biker is farther from the parking lot. The distance of the bikers to the parking lot are:

i. First biker = 17.0 km

ii. Second biker = 20.22 km

The path of travel of both bikers would form a triangle. Applying the Pythagoras theorem to the path of the first biker would give his distance from the starting point. While applying the cosine rule to the path of second rider would gives his distance to the starting point.

Thus,

a. To determine the distance of the first biker from the parking lot.

Let the required distance be represented by x. Applying the Pythagoras theorem, we have:

[tex]hyp^{2}[/tex] = [tex]adj 1^{2}[/tex] + [tex]adj 2^{2}[/tex]

[tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]15^{2}[/tex]

   = 64 + 225

   = 289

x = [tex]\sqrt{289}[/tex]

  = 17

x = 17 km

Thus, the first biker is 17.0 km from the starting point.

b. To determine the distance of the second biker from the parking lot.

Let the required distance be represented by x. So that applying the cosine rule, we have:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ

[tex]x^{2}[/tex] = [tex]8^{2}[/tex] + [tex]15^{2}[/tex] - 2(15*8) Cos (180 - 20)

    = 64 + 225 - 240 Cos 160

    = 289 - 240 * -0.5

[tex]x^{2}[/tex] = 289 + 120

   = 409

x = [tex]\sqrt{409}[/tex]

 = 20.2237

x = 20.22 km

Thus, the second biker is 20.22 km from the starting point.

Therefore, the second biker is farther from the parking lot.

A sketch of the path of travel for the two bikers is attached for more clarifications.

Visit: https://brainly.com/question/22699651

Hello!! can you please help me? I've been trying to answer this question for a while now, but I cant seem to figure it out. (9th grade Geometry).

Answers

I’m still looking but it may take me awhile I’m not the greatest at this but this is what I have:
A=50
B=50
C=58
M=130

find g12 in the sequence -1,-3,-9,-27,....
a. -59,049
b. -177,147
c. 118,098
d. -19,683

Answers

Answer:

b. [tex]a_{12}=-177147[/tex]

Step-by-step explanation:

This is a geometric sequence:

[tex]a_n=a_1x^{n-1}[/tex]

where n is the index in the sequence and x is the common scale factor.

In the given sequence here, the common factor is 3:

[tex]-3\div-1=3\\-9\div-3=3\\-27\div-9=3[/tex]

That's the factor, and we know the first term is -1, so you can write the equation for this sequence:

[tex]a_n=(-1)(3)^{n-1}[/tex]

Finally, plug in 12 for n and solve:

[tex]a_{12}=(-1)(3)^{12-1}\\a_{12}=(-1)(3)^{11}\\a_{12}=(-1)177147\\a_{12}=-177147[/tex]

The total cost of renting a beach
house is a function of the number of
days the house is rented. The
owner of the beach house charges
$375 per day up to a maximum of 7
days plus a $100 cleaning fee. What
is the greatest value in the range for
this situation?

Answers

Answer: 147 votes

Beacause they need to find out what to do with the beach house

The greatest value in the range for this situation is $2,675.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto-one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Let the number of days the beach house is rented be represented by the variable "d".

If d is less than or equal to 7, then the total cost can be calculated as:

Total Cost = 375d + 100

If d is greater than 7, then the maximum cost would be reached by renting the house for 7 days and adding the $100 cleaning fee.

In this case, the total cost can be calculated as:

Total Cost = 375(7) + 100 = 2,675

Therefore,

The greatest value in the range for this situation is $2,675.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ2

What is the next fraction in this sequence? Simplify 3/14,2/7,5/14,3/7, its due today please help

Answers

The next fraction in the given sequence is; 7/14

We are given the sequence;

3/14, 2/7, 5/14, 3/7.

To get the next fraction in the sequence, we have to find the pattern of the differences.

Difference between first and second term is;

2/7 - 3/14 = 1/14

Similarly, for 2nd and 3rd term;

Difference = 5/14 - 2/7

Difference = 1/14

Therefore,the next fraction in the sequence will be gotten by adding 1/14 to 3/7

Next fraction = 3/7 + 1/14

Next fraction = 7/14

Read more on arithmetic sequence at;

https://brainly.com/question/1145052

A bag contains only dimes and quarters. There are 21 coins in the bag totaling $4.65. How many of each type of coin are in the bag

Answers

Answer:

17 quarters and 4 dimes

Step-by-step explanation:

17 · 0.25 = 4.25

4 · 0.10 = 0.40

4.25 + 0.40 = 4.65

I hope this helps!

I am so confused on what to do with fractions.

Answers

Using the power rule for differentiation, the first derivative of

[tex]f(x) = -x^{\frac12}[/tex]

is

[tex]f'(x) = -\dfrac12 \cdot x^{\frac12-1} = -\dfrac12 x^{-\frac12}[/tex]

and the second derivative is

[tex]f''(x) = -\dfrac12 \cdot \left(-\dfrac12 \cdot x^{-\frac12 - 1}\right) = \dfrac14 x^{-\frac32}[/tex]

which makes E the correct choice.

I put the Question here #1

Answers

Answer:

sqrt( 74)

8.602

Step-by-step explanation:

To find the distance between the two points we use the formula

d = sqrt( ( x2-x1)^2 +(y2-y1)^2)

   = sqrt( ( 3- -2)^2 + ( -2 -5)^2)

   = sqrt( (3+2)^2 + ( -7)^2)

   = sqrt( 5^2 (-7)^2)

    = sqrt( 25+49)

    = sqrt( 74)

approximately 8.602325267

To the nearest thousandth

  approximately 8.602

Explain how you would solve the problem below.



20% of 60

Answers

20% of 60 is

20 / 100 * 60

= 1200 / 100

= 12
Hope this helps

When testing a claim that the majority of adult Americans are against the death penalty for a person convicted of murder, a random sample of 491 adults is obtained, and 27% of them are against the death penalty (based on data from a Gallup poll). Find the P-value. Round to 4 decimals when necessary.

Answers

Using the z-distribution, it is found that the p-value is of 1.

At the null hypothesis, it is tested that the majority is not against the death penalty, that is:

[tex]H_0: p \neq 0.5[/tex]

At the alternative hypothesis, it is tested that the majority is against the death penalty, that is:

[tex]H_1: p > 0.5[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.

In this problem, the parameters are: [tex]\overline{p} = 0.27, p = 0.5, n = 491[/tex].

Then, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.27 - 0.5}{\sqrt{\frac{0.5(0.5)}{491}}}[/tex]

[tex]z = -10.19[/tex]

Using a z-distribution calculator, for a right-tailed test, as we are testing if the proportion is greater than a value, the p-value is of 1.

A similar problem is given at https://brainly.com/question/16313918

What is the formula for guess work pricing?

Answers

Answer:

What is the formula for pricing?

Retail Price = Cost of Goods + Markup. Markup = Retail Price – Cost of Goods. Cost of Goods = Retail Price – Markup.

Step-by-step explanation:

Find the distance travelled by Rubina if she takes 4 rounds of rectangular park whose length and breadth is 45m and 30m

please give me a valid answer with a step by step explanation and i will mark you as brainliest

Answers

Length (l) = 45 mBreadth (b) = 30 mWe know, perimeter of a rectangle = 2(length + breadth)Therefore, perimeter of the rectangle = 2(I + b) = 2(45 + 30) m = 2 × 75 m = 150 mSo, the distance travelled by Rubina = 4 × 150 m= 600 m

Answer:

The distance travelled by Rubina is 600 m.

Hope you could get an idea from here.

Doubt clarification - use comment section.

find the circumference r = 5 cm c [?] cm c=d

Answers

Step-by-step explanation:

radius of circle =5 cm

circumference of a circle =2πr

=2π×5

=10π=10×3.14

circumference=31.4 cm

An oil tanker is leaking at a constant rate per minute. After 11 minutes, 931 gallons of oil remain in the tanker. After 18 minutes, 633 gallons of oil remain in the tanker. Write the function f(t) that describes this scenario.

Answers

The  function f(t) that describes this scenario will be A = -42.57t + 1399.28

Let the amount of oil remaining after time t be ALet the time taken be "t"

This required linear expression will be given as A= mt + b

Writing the gallons of oil and the time taken as a coordinate point (A, t), these are given as (11, 931) and (18, 633)

m is the rate of change = 633-931/18-11

m = -298/7

m = -42.57

Get the intercept;

633 = -42.57(18) + b

633 = -766.29 + b

b = 1,399.28

Heence the  function f(t) that describes this scenario will be A = -42.57t + 1399.28

Learn more on functions here; https://brainly.com/question/17431959

Express the following equation in slope intercept form: 8x-2y=10
please

Answers

Answer:

y=4x-5

Step-by-step explanation:

8x-2y=10

-8

-2y=-8x+10

-2= -2   -2

y=4x-5

write an expression that is equivalent to (-16)^-2

Answers

Answer:

1/256

Step-by-step explanation:

(-16)^-2

= 1/(-16)^2

= 1/ (-16· -16)

= 1/ 256

Help help help math math

Answers

Answer: 144 cm^3

Step-by-step:

Plug the radius into the volume formula.

V= 3/4(pie)4^3

Simplify the 4^3.

V= 3/4(pie)(64)

Multiply 64 by pie (which in this case is represented by 3).

V= 3/4(192)

Find 3/4 of 192 by multiplying.

V= 144 cm^3

simple: get the Equation

Answers

Answer:

y=10x+10

Step-by-step explanation:

What is the graph of y=3/4x-1?​

Answers

Answer:

Here is a screenshot of my graph.

Step-by-step explanation:

What is the measure of <1?



What is the measure of <2?

Answers

Answer:

1) 98°

2) 65°

Step-by-step explanation:

Sum of the angles in any triangle = 180°

in first triangle the third inner angle =  180 - (18 + 80) = 82 then measure of (1) = 180 - 82 = 98°

The missing interior angle of the second triangle = 180 - 124 = 56° then measure of (2) = 180 - (59+56) = 65°

Which table represents a linear function?

Answers

Answer:

First Graph (1-5 2-10)

Step-by-step explanation:

10÷2=5

3÷15=5

4÷20=5

5÷25=5

Find a solution to the inequality x > 4.
A. 8
B. 3
C. 4
D. 0

Answers

Answer:

8

Step-by-step explanation:

Isn't it simple because all other numbers are less than 4?

Which is 5log x - 6log (x - 8) written as a single logarithm?

Answers

Answer:

log[x⁵/(x-8)⁶]

Step-by-step explanation:

5log(x) - 6log(x-8)

log(x⁵) - log((x-8)⁶)

log[x⁵/(x-8)⁶]

Even after that large purchase at Best Buy, you decide to go to Target to grab a few things that you missed. You purchase WWE 2K21 for $49.99, Starbucks Vanilla Coffee for $13.99, the new Keurig K550 for $179.99, and a pair of jeans for $17.99. The state sales tax is 6%.

What is the total selling price before tax?

How much is sales tax did you pay?

What was your total cost?

Answers

The total selling price before tax is $261.96.

The sales tax paid is $15.72.

The total cost is  $277.68.

The total selling price before tax is the sum of the prices of the WWE 2K21, Starbucks Vanilla Coffee,  new Keurig K550 and the jeans

$49.99 + $13.99 + $179.99 + $17.99 = $261.96.

Sales tax is the amount of money levied when a good or service is purchased. It is a percentage of the price of an item

Sales tax = tax rate x cost

6% x $261.96 = $15.72

The total price paid is the sum of the sales tax and the  total selling price.

$15.72 +  $261.96 = $277.68

To learn more about taxes, please check: https://brainly.com/question/25311567

how many solutions does the following system have?

-4x + 5y = 7

4x - 5y = -7

a. one solution
b. no solution
c. infinitely many solutions

Answers

Answer:

It has no solution since it is a simultaneously equation. And when you solve to find x and y it gives 0

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