Mathematics High School

root of 108 is between______ and ______
Determine what two whole numbers the square root is between without using a calculator or table. Then use a calculator or table to check.

Answers

Answer 1
Without using a calculator I would say the root is between 10 and 11 

How I found the answer:
I know 10 * 10 = 100
I know 11 * 11 = 121
So the root of 100 = 10 and the root of 121 = 11 so that means the root of 108 is somewhere between 10 and 11, which the root of 108 =  10.3923

Related Questions

Determine if the lines are parallel, perpendicular, or neither y=5 and y =-1

Answers

The are parallel to each other because the are both straight horizontal lines
 y = 5 and y = -1 is a parallel line .
They both line on the y - axis .
( 0,5 ) and ( 0,-1 ) 

The function f(x) is shown in the graph.

What is the equation for f(x)?



Enter your answer in the box.
f(x)=_______

Answers

   f(x) =   (-5/6)x  −  1  .
___________________________________

solve for p if 2|p|=4

Answers

First, isolate the absolute value by dividing both sides by 2.

2|p| = 4

|p| = 2

Now set p = 2, and set p = -2.

Since what was inside the absolute value symbol is just p, the equation is solved.

Answer: p = 2 or p = -2

Read the following two statements. Then, if possible, use the Law of Detachment to draw a conclusion. If Robbie wants to save money to buy a car, he must get a part-time job. Robbie started a new job yesterday at a grocery store. Robbie wants to save money. Robbie wants to buy a car. not possible If Robbie wants to save money, he must get a part-time job.

Answers

Final answer:

Using the Law of Detachment, we can conclude that Robbie wants to save money because he started a new job and the first condition states that he needs a job to save for a car.

Explanation:

Using the Law of Detachment, we can draw a conclusion from the following two statements:

If Robbie wants to save money to buy a car, he must get a part-time job.Robbie started a new job yesterday at a grocery store.

Since Robbie started a new job, which is assumed to be part-time, we can conclude that Robbie wants to save money, as per the first statement which sets up a condition that needs to be fulfilled in order to save money. The specific intention of buying a car is not directly established, but it's often implied that people save for larger investments or expenses. The Law of Detachment only allows us to conclude propositions that directly follow from the given condition. Therefore, the direct conclusion we can draw here, based on the given statements and the Law of Detachment, is that Robbie wants to save money.

Final answer:

According to the Law of Detachment, Robbie wants to buy a car since he wants to save money and he has started a new job.

Explanation:

The Law of Detachment states that if we have a conditional statement of the form "If p, then q", and we know that p is true, then we can conclude that q is also true. In this case, let's analyze the given statements:

1. If Robbie wants to save money to buy a car, he must get a part-time job.

2. Robbie started a new job yesterday at a grocery store.

From statement 1, we can see that Robbie wanting to save money is the condition (p), and getting a part-time job is the conclusion (q). Since statement 2 confirms that Robbie has started a new job, which satisfies the condition (p), we can use the Law of Detachment to conclude that Robbie wants to save money (q) and therefore Robbie wants to buy a car (q). So, the conclusion is: that Robbie wants to buy a car.

Classify the expression 7x3 + 2x2 − 9 as a monomial, binomial, trinomial or polynomial.

Answers

Trinomial is your answer. 
Trinomial my dude / dudette

What is the equation of a line with a slope of -1/2 and passes through the point (6,-6)

Answers

Well I am going to assume you need slope-intercept form. So the equation is y=mx+b. m is slope, b is y intercept. So you just plug it in -6= -1/2(6)+b. -6=-3+b. Now you figure out for b so what does b have to be to make the equation equal. Well -3 so -6=-3+-3, or -6=-6. 

y=-1/2x-3
 
Hope that helped



What is the value of the expression when a = 4, b = 3 ,and c = 10?

3a/4b−c

1
4
6
12

Answers

The answer is C. 6. I hope this helps!

which statement is equivalent to the inequality 14x-14>7x+7

Answers

14x-14>7x+7

14x - 7x > 7 + 14

7x > 21

x > 21/7

x > 3

Which of the following list of ordered pairs is a function?!!!

Answers

the answer will be a
I think A. will be the answer because how the numbers show that its increasing by every time so i would choose A as the best answer.

A cube is packed with decorative pebbles. If the cube has a side length of 4 inches, and each pebble weighs on average 0.5 lb per cubic inch, what is the total weight of the pebbles in the cube?

Answers

First we must find the volume of the cube. This is equal to side^3. 4^3=64 cubic inches. Since the pebbles are .5 pounds per cubic inch and we assume it is packed we multiply the volume by .5
This will give 32 pounds

For an arithmetic sequence where a1 = 13 and the common difference is 3, find s7.

A. 162
B. 157
C. 154
D. 151

Answers

sn=n/2[2a+(n-1)d]
s7 means n=7

a7=7/2[2(13)+(7-1)(3)]=7/2(44)=154

Ans:C

Answer:

C. 154

Step-by-step explanation:

Here we have given that,

First Term a₁ = 13

Common Difference d = 3

Term (n ) = 7

so, we have arithmetic sequence: 13, 16, 19, 22,... and so on

Thus Sum of first 7 terms = [tex]\frac{n}{2} [2a+(n-1)d][/tex]

                                          = 7÷2 [2*13 + (7 - 1)*3 ]

                                          = 3.5 [ 26 + 21 ]

                                          = 154

                                           

This set of points is on the graph of a function.
{(−3, 9), (−1, 1), (0, 0), (2, 4)}
Which points are on the graph of the inverse?
Select each correct answer.
(0, 0)
(−9, 3)
(4, 2)
(1, −1)

What is the inverse of f(x)=4x+3 ?
f^−1(x)=1/4x−3/4
f^−1(x)=−1/4x+3/4
f^−1(x)=4x−3
f^−1(x)=−4x−3

What is the inverse of the function?
g(x)=−4/3x+2

g^−1(x)=−4/3x−2
g^−1(x)=3/4x+2/3
g^−1(x)=−3/4x+3/2
g^−1(x)=4/3x−2

Which functions are invertible?
Select each correct answer. (has pictures)

A.
B.
C.
D.

What is the inverse of f(x)=x4+7 for x≥0 where function g is the inverse of function f?



g(x)=x+7√4 , x≥−7

g(x)=x√4+7 , x≥0

g(x)=x−7√4,  x≥7

g(x)=x√4−7 , x≥0

Answers

Problem 1)

(-3,9) is one point on the original function, so (9,-3) is on the inverse. We swap x and y. The point (9,-3) isn't listed so we move onto the next.

(-1,1) is on the original so (1,-1) is on the inverse. Again we swap x and y. Choice D matches with this. So D is one of the answers.

Choice A is also an answer since (0,0) swaps to (0,0)

Choice C is also an answer since (2,4) swaps to (4,2)

In summary, the answers are A, C, D

======================================================================
Problem 2)
Replace f(x) with y. Swap x and y. Then solve for y

f(x) = 4x+3
y = 4x+3
x = 4y+3
x-3 = 4y+3-3
x-3 = 4y
4y = x-3
4y/4 = (x-3)/4
y = (x-3)/4
y = x/4-3/4
y = (1/4)x-3/4

which matches with choice A, so choice A is the answer

======================================================================
Problem 3)
Replace g(x) with y. Swap x and y. Then solve for y

g(x) = (-4/3)x + 2
y = (-4/3)x + 2
x = (-4/3)y + 2
x-2 = (-4/3)y + 2-2
x-2 = (-4/3)y
(-3/4)(x-2) = (-3/4)(-4/3)y
(-3/4)(x-2) = y
y = (-3/4)(x-2)
y = (-3/4)x+(-3/4)(-2)
y = (-3/4)x+3/2 ... answer is choice C

======================================================================
Problem 4)

The first two are invertible while the last two are not. The last two fail the horizontal line test so they don't have an inverse.

======================================================================
Problem 5)

It's a bit tricky to determine what the answer choices are saying but I'm assuming they are referring to fourth roots. If so, then we have

f(x) = x^4+7
y = x^4+7
x = y^4+7
x-7 = y^4+7-7
x-7 = y^4
y^4 = x-7
FourthRoot(y^4) = FourthRoot(x-7)
y = FourthRoot(x-7)

which is written as [tex]\sqrt[4]{x-7}[/tex]
Final answer:

The points on the inverse function are (9, -3), (1, -1), (0, 0), and (4, 2). The inverse of f(x)=4x+3 is[tex]f^{-1}(x) = -3 + \frac{1}{4}x[/tex]. The inverse of g(x)=−4/3x+2 is [tex]g^{-1}(x) = \frac{3}{4}x + \frac{2}{3}[/tex] . The inverse of f(x)=x^4+7 for x≥0 is [tex]g(x) = \sqrt{\frac{x-7}{4}}[/tex], for x≥7.

Explanation:

To find the points on the graph of the inverse of the function, simply switch the x and y coordinates. So, the points on the graph of the inverse function would be (9, -3), (1, -1), (0, 0), and (4, 2).

For the inverse of the function f(x)=4x+3, you rearrange the equation to solve for x. That gives [tex]f^{-1}(x) = -3 + \frac{1}{4}x[/tex]Therefore, the correct answer is [tex]f^{-1}(x) = \frac{1}{4}x - \frac{3}{4}[/tex]

The inverse of the function g(x)=−4/3x+2 could be found in the same way, which gives[tex]g^{-1}(x) = \frac{3}{4}x + \frac{2}{3}[/tex]

As for the question regarding invertible functions, without the images it is not possible to provide an answer.

The inverse of the function [tex]f(x)=x^4+7[/tex] for x≥0 is calculated by swapping x and y, and then solving for y. This yields: [tex]g(x) = \sqrt{\frac{x-7}{4}}[/tex], for x≥7.

Learn more about Inverse Functions here:

https://brainly.com/question/17872426

#SPJ2

HELP PLEASE:

What is the point-slope form of the line with slope 25 that passes through the point (−4, −7)?

y−7=2/5(x−4)
y+7=2/5(x+4)
y+4=2/5(x+7) ​
y−4=2/5(x−7)

Answers

y - y1 = m(x - x1)
slope(m) = 2/5
(-4,-7)....x1 = -4 and y1 = -7....pay attention to ur signs
now we sub
y - (-7) = 2/5(x - (-4)...not done yet
y + 7 = 2/5(x + 4) <===

Answer:

Correct option is:

y+7=2/5(x+4)

Step-by-step explanation:

The point-slope form of the line with slope m and passing through the point (x1,y1) is given by:

y-y1=m(x-x1)

Here, we are given line with slope m=2/5

and passing through (x1,y1)=(-4,-7)

i.e. x1= -4 and y1= -7

[tex]y-(-7)=\dfrac{2}{5}(x-(-4))[/tex]

[tex]y+7=\dfrac{2}{5}(x+4)[/tex]

Hence, Correct option is:

y+7=2/5(x+4)

How can you distinguish the base of an isosceles triangle from a leg

Answers

In an isosceles triangle the two legs are equal while the base is the different side

A trail is 2940 miles long. it begins in city a and ends in city
b. manfred has hiked three sevenths 3 /7 of the trail before. how many miles has he​ hiked?

Answers

Final answer:

Manfred has hiked 1260 miles of the trail, which is calculated by multiplying the total length of the trail (2940 miles) by the fraction of the trail he has completed (3/7).

Explanation:

To calculate the distance Manfred has hiked on the trail, we multiply the total length of the trail by the fraction of the trail he has completed. In this case, Manfred has hiked three sevenths (3/7) of the trail. The total distance of the trail is 2940 miles.

Distance Hiked = (Total Distance of Trail) × (Fraction of Trail Completed)

Distance Hiked = 2940 miles × (3/7)

Distance Hiked = 2940 miles × 0.4286

Distance Hiked = 1260 miles

Therefore, Manfred has hiked 1260 miles of the trail.

cindy had a party. She invited two guests. Her guests each invited four guests, and then those guests each invited three guests.

Answers

In all there would be 17 guests. Including Cindy.
The total amount of guests would be 18 because the two guests brought four guests which would be 10 and since those guests in invited three guests each then it would lead up to the total of 18.

Bella babysits for two families each weekend. One family pays her $20. The other family pays her $22. Which expression represents the amount of money Bella has been paid after w weekends?

Answers

y=w(20+22). That uses the distributive property. for a simpler answer, use y=20w+22w.

Based on the lines 5 and 6, what is the best meaning of treasure divine? precious item inconsequential object frivolous amulet incredible wealth

Answers

precious item is the answer

the first one if correct

Is 55.56 greater than 55.65? I'm in a hurry so answer quick

Answers

no it is equel hope this helps
 

Solve the equation for z and approximate the value of z
0.5*e^​4z ​​ =13

Answers

I'm going to write out the work and take a pic. hope this helps you understand if not, feel free to ask me Q's! :)

Johnny is reading a novel for the read-a- Thon. The ratio of the number of pages she read to the pages that remain to be read is 7:3. If the book contains 500 pages in all, how many pages did Johnny reed and how many pages remain left?

Answers

There are several ways to answer this question and I will use this approach. Since Johnny reads at a ratio of 7:3 it can be stated that for every 10 pages in a book containing 500 pages Johnny will read 7 of those pages. There are 50 groups of 10 in a 500-page book (50 x 10). Take the ration 7:3 times 50 and use the distributive property:  7:3(50) = (7 x 50):(3 x 50) = 350:150. Based on this Johnny has read 350 pages and has 150 pages remaining.

The sum of two numbers is 95. If the larger number is increased by twice the smaller number, the result is 120. What is the larger number?

If S = the smaller number and L = the larger number, then which of the following systems of equations represents the word problem?

Answers

S+L=95
2s+L=120 
so it's 120

Answer: correct answer is S + L = 95 and 2S + L = 120

Step-by-step explanation:

What is 75% of 400 write evaluate an expression to find the answer.then explain how touse the model to justify the answer?

Answers


75 /100  x 400 =

75 x400/ 100= 

 300

Hey there
I like to do it this way :
100% = 400
1%= 400/100
     = 4
75%= 4 x75
       = 300

Hope this helps :))

~Top

There is a sales tax of $6 on an item that cost $80 before tax. The sales tax on a second item is $11.25. How much does the second item cost before tax?

Answers

The second item's cost before the sake tax would be $17.25

hich is an example of a proportional relationship?

A.The yogurt shop charges .30 per pound.
B.The yogurt shop charges .30 per pound plus $1.00 for the cup.
C.John ran 2 miles in 15 minutes then ran 3 miles in 20 minutes.
D.The car travelled 40 mph for half an hour and then travelled 60 mph for 2 hours

Answers

B im sure plz like and put 5star

PLZ HELP
Mrs. Kuss received a $50 Itunes gift card for her birthday. She bought one album for $9.99 and would like to see how much money she has left to buy single songs. If each song costs $1.29, how many songs can Mrs. Kuss buy with her remaining money? Show your work.

Answers

Mrs kiss can buy about 31 songs

50.00-9.99 = 40.01
40.01 / 1.29 = 31.0
She initially has $50 and she bought an album of $9. 99 so you subtract those $9.99 from $50 and you are left with $40.01, now you can either divide it by $1.29 to skip the long process or subtract $1.29 at a time. Once you do so, you will get an answer of 31 more songs with $0.02 left. YOU'RE WELCOME :D

Factor the polynomial completely 20x -220x squared + 600x

Answers

I first would rearrange the problem

-220x^2 + 20x + 600x

Simplify

-220x^2 + 620x

Find the GCF of the two values

20x(11x + 13)

Hope this helps!

What does it mean for data on a scatter plot to have no association? How does that affect the line of best fit?

Answers

If there isn't any association, or CORRELATION, then you'd have a very difficult time determining a line of best fit since the independent and dependent variables wouldn't have any form of relationship.

For instance, let's say that I was going to plot (x,y) where x represented somebody's first name, and y represented how old they were

Does a person's name determine their age?  Of course not, so there would be no association, or CORRELATION, which means there would not be a way to put in a line of best fit for this.

Hope this helps.

Brian

Answer:

If there isn't any association, or CORRELATION, then you'd have a very difficult time determining a line of best fit since the independent and dependent variables wouldn't have any form of relationship

Step-by-step explanation:

Sam made 6 identical necklaces, each having beads and a pendant. the total cost of the beads and pendants for all 6 necklaces was $31.80 . if the beads cost $2.70 for each necklace, how much did each pendant cost?

Answers

Since six necklaces all together costs 31.80 to make, I divided 31.80 by 6 and got 5.3. That means that to make one necklace, they'd spend $5.30. The beads alone for 1 necklace cost $2.70, so I subtracted that from the $5.30.

Answer: Each pendant costs $2.60

Please put down the steps?

Answers

The answer is:  " x = 0, 1 " .
__________________________________________
Explanation:
__________________________________________
Given:
__________________________________________
   " √(x + 1)  − 1 = x "  ;   Solve for "x" ;

First, let us assume that "x ≥ -1 "

Add "1" to EACH SIDE of the equation:

 →  √(x + 1)  − 1  + 1 = x + 1  ; 

to get:  

 →  √(x + 1)  = x + 1 .

Now, "square" EACH side of the equation:

 →  [√(x + 1) ]²  = (x + 1 )² ;

to get: 

   x + 1 = (x + 1)² 

↔  (x + 1)²  = (x + 1) .


Expand the "left-hand side" of the equation:

 → (x + 1)² = (x + 1)(x +1) ;

Note: (a+b)(c+d) = ac +ad + bc + bd ;

As such:  (x + 1)(x + 1) = (x*x) + (x*1) +(1(x) + (1*1) ;
                                   =  x² + 1x + 1x + 1 ; 
                                   =  x²  + 2x  +  1 ;

Now, substitute this "expanded" value, and bring down the "right-hand side" of the equation; and rewrite the equation:
__________________________________________
   " (x + 1)² = (x + 1)(x +1) " ; 

  →  Rewrite as:  " x² + 2x + 1 = x + 1 " ;

 Subtract "x" ;  and subtract "1" ; from EACH SIDE of the equation:

               →   x² + 2x + 1 - x - 1 = x + 1 - x - 1 ; 

to get:    →   x² − x = 0  

Factor out an "x" on the "left-hand side" of the equation:
___________________________________________
         x² − x = x(x − 1) ;

         →  x (x − 1) = 0 ;

We have:  "x" and "(x − 1)" ; when either of these two multiplicands are equal to zero, then the "right-hand side of the equation equals "zero" .

So, one value of "x" is "0" .

The other value for "x" ;

→  x − 1 = 0 ;

Add "1" to each side of the equation:

  → x − 1 + 1 = 0 + 1 ; 

 →  x = 1 ; 
__________________________________
So, the answers:

 " x = 0, 1 " .
_________________________________

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