Question is in the file below.

9514 1404 393

Answer:

  6 = ∛216

Step-by-step explanation:

The equivalent exponential form is ...

  6³ = 216

Then the index form is ...

  6 = ∛216

Answer:

yes

Step-by-step explanation:

6^2+8^2=10^2

following the pythagoras theorem this triangle is right triangle

There are 30 adults in the swimming pool.

The ratio is a quantitative approach that shows the relation between two proportions.

From the given relation, the ratio of of the children to adults = 8 : 3

The total number of the ratio = 8 + 3 = 11

Given that there are 110 people in the population.

The number of adults that are there will be:

[tex]\mathbf{=\dfrac{3}{11}\times 110}[/tex]

= 30 adults

Learn more about ratio here:

https://brainly.com/question/13419413?referrer=searchResults

Answer:

  A = 2r²

Step-by-step explanation:

A square is a rhombus with equal-length diagonals. A square inscribed in a circle has diagonals equal to the diameter of the circle: 2r.

The area of a rhombus is half the product of the lengths of its diagonals. Hence the area of our square is ...

  A = (1/2)(2r)(2r)

  A = 2r²

Answer:

2

Step-by-step explanation:

r=1/2s[tex]\sqrt{2}[/tex]

2r=s[tex]\sqrt{2}[/tex]

2r/[tex]\sqrt{2}[/tex]=s remove [tex]\sqrt{2}[/tex] denominator by multiplying with [tex]\sqrt{2}[/tex]/[tex]\sqrt{2}[/tex]

2[tex]\sqrt{2}[/tex]r/2  -- simplify , 2 cancels

s=r[tex]\sqrt{2}[/tex]

so area = (r[tex]\sqrt{2}[/tex])^2

A(r)= 2r²

Answer:

Graph #2 for sure, both axis are linear and the curve is a parabola all right.

On graph #1: I can't for the life of me read the units on the Y axis, so you have to check: if they're going 2000 4000 6000, then that is a parabola as wel. If they're increasing esponentially, ie 2000 4000 8000, then one of the two axis is logarithmical and the curve is no longer quadratic.

Answer:

12

Step-by-step explanation:

House A is 24. So divide it by two to get 12. Which is house B

Answer:

B

Step-by-step explanation:

the pattern is clearly :

the absolute value of the next term is twice the absolute value of the previous term. and the sign flips with every new term.

so, after -40 comes then 80, then -160, then 320, then -640, ...

Answer:

556

Step-by-step explanation:

I hope this helps

Answer:

The car will drive 60 miles in 60 minutes (an hour)

Step-by-step explanation:

For every hour driven (60 minutes) the person will drive 60 miles, therefore it will travel a distance of 60 miles in 60 minutes

Answer:

d

Step-by-step explanation:

the first term is 8x. 8 is the coefficient and x is the base. so the answer is 8.

Answer:

Between the edges of the first two triangles there is a ratio. To find this ratio, you need to ratio one edge of a small triangle to one edge of a large triangle. So 5/30=6/36=8/48=1/5. The ratio we want to find is 1/5 or 5.

i cant see very clearly the paper, however here is everything i can see and how i think they should be solved:

Answer:

{a,c,d,b} = {49/16,29/16,2,-31/48}

Step-by-step explanation:

  [1]    3a + c - 4d = 3

  [2]    -4a + 4c + d = -3

  [3]    -a - 2d + 3b = -9

  [4]     - d = -2

// Solve equation [4] for the variable  d

  [4]    d = 2

// Plug this in for variable  d  in equation [1]

  [1]    3a + c - 4•(2) = 3

  [1]    3a + c = 11

// Plug this in for variable  d  in equation [2]

  [2]    -4a + 4c + (2) = -3

  [2]    -4a + 4c = -5

// Plug this in for variable  d  in equation [3]

  [3]    -a - 2•(2) + 3b = -9

  [3]    -a + 3b = -5

// Solve equation [1] for the variable  c

 [1]    c = -3a + 11

// Plug this in for variable  c  in equation [2]

  [2]    -4a + 4•(-3a+11) = -5

  [2]    -16a = -49

// Solve equation [2] for the variable  a

  [2]    16a = 49

  [2]    a = 49/16

// Plug this in for variable  a  in equation [3]

  [3]    -(49/16) + 3b = -5

  [3]    3b = -31/16

  [3]    48b = -31

// Solve equation [3] for the variable  b

  [3]    48b = - 31

  [3]    b = - 31/48

// By now we know this much :

   a = 49/16

   c = -3a+11

   d = 2

   b = -31/48

// Use the  a  value to solve for  c

   c = -3(49/16)+11 = 29/16

Step-by-step explanation:

so bd/a+c= 3×(-4)/-2 +(-12)= -12/-2+(-12)=6+(-12)=6-12=-6

so the answer is -6

Answer:

i think its 16 but im not sure

Step-by-step explanation:

6+6+2+2= 16 but im not sure if that how u do it or not

it's been so long since i've done that stuff. 12 in i think

Answer:

6/1 * 2/3= 4

5/6 - 3/4= 1/12

3/5 / 1/3= 9/5

Step-by-step explanation:

Answer:

x=16.782

Step-by-step explanation:

a=40*

b=20

c=90*

d=40* (corner in lower right corner, we know it equals 40* because all triangles equal 180*)

e=26.108 (bottom side)

Hope this helps! BH

Answer:

The 1st one on the right is a function

Answer:

Parabola Graph (top-right)

Step-by-step explanation:

A graph represents a function given that none of the x-coordinates have more than one corresponding y-coordinates. Consequently, if a graph contains two or more different points with the same x-coordinate, then that graph does not represent a function.  

An easier way of finding out whether a graph represents a function is through the vertical line test. In order to perform the vertical-line test, imagine dragging a ruler held vertically across the graph from left to right. A graph is a function if the edge of the ruler crosses the graph only once for every x -value.  

Out of all the given options, the graph of an upward-facing parabola represents a function (top-right graph), as each vertical line contains only one point. Please see the attachment, where I performed the vertical line test.

Answer:

[tex]<174\frac{4}{9}[/tex] hopes this helps :D

Step-by-step explanation:

The solution is s > 174 4/9

The inequality equation is s > 174 4/9 and it will take 174 4/9 seconds for the hot air balloon to reach below 215 feet

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is given by

Let the total altitude of the hot air balloon be = 1000 feet

Now , the hot air to reach below 215 feet , the hot air balloon should descend a total of = 1000 - 215 feet

So , the value of hot air balloon should descend = 785 feet

And ,

The rate at which the hot air balloon descends = 4 1/2 feet per seconds

So , the number of seconds s for the hot air balloon to reach an altitude more than 785 feet is given by the inequality equation A

where ( 4 1/2 ) x s > 785

On simplifying the equation , we get

( 4 1/2 )s > 785

( 9/2 ) s > 785

Multiply by 2 on both sides of the equation , we get

9s > 1570

Divide by 9 on both sides of the equation , we get

s > 174 4/9

Therefore , the value of A is s > 174 4/9

Hence ,

The inequality equation is s > 174 4/9 where s is the number of seconds

To learn more about inequality equation click :

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Answer:

  see attached

Step-by-step explanation:

For each listed root x=p as signified by f(p) = 0, the function has a factor (x-p). The given roots and the given end behavior tell us the factored form is ...

  f(x) = -(x +3)(x +1)(x -1)(x -3)

__

The graph is attached. It shows the function increasing at extreme left, crossing the x-axis at x=-3, and again at x=-1, x=1 and x=3. Since it crosses an even number of times, the right-side end behavior is "decreasing" toward negative infinity.

Answer:

Slope = 3

Step-by-step explanation:

The formula to find the slope of a graph using two points is:

m = Δy/Δx

where m is the slope

We can start off by choosing two points on the graph. Two easy ones to pick out would be (6,30) and (1,15). Notice that the 15 and the 30 are y-coordinates and the 6 and the 1 are x-coordinates. To find the slope we will do

m = Δy/Δx = (30-15)/(6-1)

= 15/5

= 3

Thus the slope of this graph is 3

Step-by-step explanation:

I hope you understand it. Thank you for 50 points

Refer to the attachment

Answer:

x = -2 , y = -1

(-2,-1)

Answer:

They are proportional

Step-by-step explanation:

Proportionality:

They are proportional because the cost is going up by 10 the entire time and the hours rented is going up by 2 the entire time.

Graphing:

Go to the 2 on the x-axis (horizontal line)

Go up to the 20 on the y-axis (vertical line)

The points to graph are:

(2,20)

(4,30)

(6,40)

(8,50)

I put a pic of what your graph should look like below!

Answer:

To plot the graph put the hours along the x axis and the cost on the y axis. Its a positive realationship because when the hours go up the cost goes up to, it isn't proportional because both values don't go up at the same rate.

Step-by-step explanation:

Step-by-step explanation:

1. First divide by the leading term, making the polynomial monic.

2. Then, given x

2 + a1x + a0, substitute x = y − a1  to obtain an equation without the linear term.

(This is the “depressed” equation.)

3. Solve then for y as a square root. (Remember to use both signs of the square root.)

4. Once this is done, recover x using the fact that x = y − a1

[tex] = > 3x + 15 + 4x + 12 = 180 \\ = > 7x + 27 = 180 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = > \: 7x = 180 - 27 = 153 \: \: \: \: \\ x = \frac{153}{7} = 21 \\ x = 21[/tex]

Answer:

2 <= x < 8

Step-by-step explanation:

2 is less than or equal to x and the symbol for that is <=

the least number should also be on the left side

8 is greater than x so the symbol is <

8 is the biggest number and goes on the right