A tether ball is attached to the top of a 15-foot pole. Maddy holds the ball 3 feet off the ground and 4 feet from the pole. How long is the rope that the tether ball is attached to?

Answer:

[tex](5\pi ,0)[/tex]

Answer:

x(3x^ x - 2 x - 1)

Step-by-step explanation:

the answer is

x(3x^2 - 2x - 1)

This is the distributive property:

ab + ac = a (b + c)

In this case, you have

a - a (1.2⁴)

and a is a common factor to both a and a (1.2)⁴, so you can pull it out as

a (1 - 1.2⁴)

Given:

The function is:

[tex]f(x)=-4(1.09)^x[/tex]

The table of values for the function g(x).

To find:

The equation that best compares the y-intercepts of f(x) and g(x).

Solution:

We have,

[tex]f(x)=-4(1.09)^x[/tex]

Putting [tex]x=0[/tex], we get

[tex]f(x)=-4(1.09)^0[/tex]

[tex]f(x)=-4(1)[/tex]

[tex]f(x)=-4[/tex]

So, the y-intercept of the function f(x) is -4.

From the given table of values, it is clear that the function f(x) passes through the point (0,-4). So, the y-intercept of the function g(x) is -4.

The y-intercept of f(x) is equal to the y-intercept of g(x).

Therefore, the correct option is A.

Answer:

A) The y-intercept of f(x) is equal to the y-intercept of g(x).

Answer:

the answer is -5,-7,-10,-14,-19

Given:

The polynomial is:

[tex]p(x)=x^2-1[/tex]

To find:

Whether [tex]x=-2[/tex] is a zero of the given polynomial or not.

Solution:

If [tex]x=c[/tex] is a zero of a polynomial, then [tex]f(c)=0[/tex].

We have,

[tex]p(x)=x^2-1[/tex]

Putting [tex]x=-2[/tex] in the given polynomial.

[tex]p(-2)=(-2)^2-1[/tex]

[tex]p(-2)=4-1[/tex]

[tex]p(-2)=3[/tex]

Since [tex]p(-2)\neq 0[/tex], therefore [tex]x=-2[/tex] is not a zero of the given polynomial.

Answer:

x = - 7, x = - 1

Step-by-step explanation:

Given

x² + 8x + 7 = 0

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 7 and + 1 , since

7 × 1 = 7 and 7 + 1 = 8 , then

(x + 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 1 = 0 ⇒ x = - 1

Answer:

[tex]x=-1,-7[/tex]

Step-by-step explanation:

[tex]x^2+8x+7=0[/tex] where a [tex]\neq[/tex] 0 so a = 1 b = 8 c = 7

Quadratic Formula: [tex]x=-b\frac{\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=-8\frac{\sqrt{8^2-4(1)(7)} }{2(1)}[/tex]

[tex]x=-8\frac{\sqrt{64-28} }{2}[/tex]     Evaluate the exponent and multiply 4ac

[tex]x=-8\frac{\sqrt{36} }{2}[/tex]          Subtract b^2 - 4ac and multiply 2a

[tex]x=-8\frac{\sqrt{6} }{2}[/tex]           Solve for the sqrt root of 35

x = - 8 ± 6/2 =

x = - 8 + 6/2 = -1

x = - 8 - 6/2 = -7

Answer:

2/6 or 1/3

Step-by-step explanation:

We start off with 5/6 of a cup of syrup in a measuring cup.

Then Wesley pours out 1/2 of the syrup in the measuring cup.

Our equation looks like this:

5/6 - 1/2 = ?

However, we can't use this equation because the denominators (6 & 2) aren't the same. So we will find the LCD (least common denominator).

Mulitiples of 6: 6, 12, 18, 24

Multiples of 2: 2, 4, 6, 8

6 is the LCD for the both of them.

Multiply 3 to the numerator and denominator of 1/2 (because to get from 2 to 6 using multiplication, you mulitiply 3)

1/2 x 3/3 = 3/6

Now we can substitue 3/6 into our original equation and solve it:

5/6 - 3/6 = 2/6

It's better to use the simplified answer, 1/3.

Hope it helps and good luck (●'◡'●)

Answer:

[tex](a)\ r = 1in : 9ft[/tex]

[tex](b)\ r = 1 in: 15ft[/tex]

[tex](c)\ r = 1 in: 16ft[/tex]

[tex](d)\ r = 1in:4ft[/tex]

Step-by-step explanation:

Given

See comment for complete question

Required

The scale of each area

The scale ratio (r) is calculated as:

[tex]r = scale:actual[/tex]

So, we have:

(a)  scale : 13 square inches  and actual : 117 square feet

[tex]r = 13in : 117ft[/tex]

Divide by 13

[tex]r = 1in: 9ft[/tex]

(b) scale : 5 square inches  and actual : 125 square feet

[tex]r = 5in : 125ft[/tex]

Divide by 5

[tex]r = 1in : 25ft[/tex]

(c) scale : 8 square inches  and actual : 128 square feet

[tex]r = 8in : 128ft[/tex]

Divide by 8

[tex]r = 1in : 16ft[/tex]

(d) scale : 12 square inches  and actual : 48 square feet

[tex]r = 12in : 48ft[/tex]

Divide by 12

[tex]r = 1in:4ft[/tex]

Answer:

picture above my answer is the answer you asked

Answer:

x =48.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp side / hypotenuse

sin x = 54 /72

Taking the inverse sin of each side

sin ^ -1( sin x) =sin ^-1 ( 54/72)

x = 48.59037789

To the nearest tenth

x =48.6

Answer:36.9

Step-by-step explanation:

Answer:

1,152

Step-by-step explanation:

So here, we shall be removing random numbers

For ease, since the number is divisible by 45: it is advisable to end the selected number with zero

So we have it that;

we are crossing the first 4, 9 and 7

So, we are left with;

51,840

dividing this by 45 will give 1,152

Answer:

A) $35.80

B) $28.64

Step-by-step explanation:

I'm not sure tho it might be wrong

Answer:

Perpendicular, CD has a slope of -5/2

Step-by-step explanation:

Parallel lines have the same slope, perpendicular have slopes that are negative reciprocals, or in other words if one slope is m then the other's slope is -1/m and if it is neither fo those then it is neither parallel or perpendicular.  Also,  if two lines have the same slope you have to make sure they are not the same line.  

Now, to find the slope  when you have two points you use the formula (y2 - y1)/(x2 - x1), where the points are (x1, y1) and (x2, y2).  You can make either point point 1 or point 2.  Just make sure x1 and y1 are from one point and x2 and y2 are from the other point.  

So the two lines are AB and CD.  Since the question asks I will start with CD.  The points are (1,8) and (3,3)  So I will call C point 1 and D point 2.  

(y2 - y1)/(x2 - x1)

(3 - 8)/(3 - 1)

-5/2

Thankfully this is lowest terms.

Now for AB.  A will be point 1 and B will be point 2

(y2 - y1)/(x2 - x1)

(4-2)/(5-0)

2/5

So they are not the same, so what if you take negative 1 over one of the slopes.  

well. -1/(2/5) = -5/2

So these are perpendicular.  

If you would like an explanation for how to find the full equation of a line I can explain that.  

Answer:

275,128

Step-by-step explanation:

"___ more than 3455" is the same as saying "___ added to 3455"

So it will look something like this:

___ + 3,455 = 278,583

Then rearrange the equation to use subtraction to solve it:

278,583 - 3,455 = ____

Plug it in the calculator or solve it by hand, and you have your answer!

(To double check, add 3,455 and 275,128, and you get 278,583)

Hope it helps (●'◡'●)

Answer:

only Y

Step-by-step explanation:

all the others have for at least 1 value of x more than one different y values defined.

but a function must be clear about the association between an x unit value and the corresponding result.

many different input values can have the same functional result. but there can be only one defined result per input value. otherwise it is not a function.

you cannot say 1+1 = 2 or 3. it is either 2 or 3, but you need to define what. you can't leave it open.

The function is given by the table Y

x = { -3 , 2 , 0 , 3 } and y = { 1 , 1 , 1 , 1 }

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

Let the x values of the function be represented as

x = { -3 , 2 , 0 , 3 }

Now , the y values of the function is

y = { 1 , 1 , 1 , 1 }

From the table , we can see that for every different values of x there are range of values of y

No two same values of ranges have the same domain

Therefore , it is a function

Hence , the function is table Y

To learn more about function rule click :

https://brainly.com/question/3760195

#SPJ7

Answer:

0.7

Step-by-step explanation:

.

Answer:  b) 0.7

Just copy that into mathswatch :>

Answer:

yo have to think very hard about it

sorry, I don't have an answer but I do want to know myself

Answer:

C) Chloroplast; thylakoid membrane

Step-by-step explanation:

The question is a biological science question

The light-dependent reactions also known as the light reactions take place at the location site of the chlorophyll of the plant cell, within the chloroplast thylakoid membrane, and involves the energizing of the electrons within the pigment molecules, the electrons are then transferred through a transport chain within the thylakoid membrane

The dark reactions take place inside the stroma

Therefore, the correct option is chloroplast; thylakoid membrane

Step-by-step explanation:

it is the longest side of the triangle and to find it we must appy a formula c square =a square + b square..thats all i know hehe

Explanation:

For regular tessellations, the types of polygons that we can use are

We can only pick one of those shapes.

Shapes like regular octagons or pentagons will not work on their own because there is gap or overlap if we tried to glue them together. Think of tiles on the floor. There cannot be any gap or overlap when forming a tessellation.

If you wanted to use octagons to tessellate the plane, then you'd need squares to fill in the gaps. At this point, it's not considered a regular tessellation.

Answer:

slope-inercept form: y = 3x + 3        point-slope form: y - 9 = 3(x - 2)

Step-by-step explanation:

slope-intercept form:

y2 - y1 / x2 - x1        

9 - (-6)/ 2 - (-3)      

= 3

y = 3x + b

9 = 3(2) + b

9 = 6 + b

3 = b

y = 3x + 3

point-slope form:

y - 9 = 3(x - 2)

ask a question. will try to help and make it

[tex]easy \: as \: \pi[/tex]

Answer:

I only have the answer for B

Step-by-step explanation:

This is the answer: 1st blank: 7y

2nd blank: 9

3rd blank: 42xy

Answer:

[tex]x^{3} (x^{2} -9)[/tex]

[tex]x^{3} (x+3)(x-3)[/tex]

zeros at : 0,3,-3

Step-by-step explanation:

Each high school in Indiana is considered a cluster. Let's say there are 1000 high schools in that state. That would mean there are 1000 clusters.

You would then randomly select say 5 clusters. Once those selections are made, you would then survey every student at those five schools selected. The number of clusters selected will depend on the situation of course.

Answer:

RV = 18

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, then

RV = [tex]\frac{1}{2}[/tex] RT = [tex]\frac{1}{2}[/tex] × 36 = 18

Answer:

From left to right:

The first one is 2

The second one is 1/2

The third one is 2

The fourth one is 1

Step-by-step explanation: