What is the slope of the graph?

Answer:

71 + 73 + ..... + 125 = 2,744 = [tex]14^{3}[/tex].

Step-by-step explanation:

The smallest set starts at 71.  The last term is 125.

The total is 2,744, which is [tex]14^{3}[/tex].

The smallest possible set is 71,73,75,....125. The first and last terms in the sequence is 71 and 125 respectively.

Geometric sequence is the sequence in which the next term is obtained by adding or substracting the previous term with the same number for the whole series.

The sumation of airthmatic sequence is find out using the following formula.

[tex]S=\dfrac{n}{2}(a+l)[/tex]

Here, (a) is the first term of the sequence, (l) is the last term and (n) is the number of terms in sequence.

Let x is the first and the smallest term of the set.  This set consists 28 consecutive odd positive integers. Thus, the sum of this set will be,

[tex]\sum=x+(x+2)+(x+4)+...+(x+54)\\\sum=28x+(2+4+6+....+54)\\\sum=28x+[\dfrac{27}{2}(2+54)]\\\sum=28x+756\\\sum=28(x+27)\\\sum=2\times2\times7(x+27)[/tex]

Now here 7 is prime number. The value of (x+27) should be perfect square of 7 and 2 to make it perfect cube. thus,

[tex]x+27=7^2\times2\\x=98-27\\x=71[/tex]

Put this value to find the sequence as,

[tex]71,71+2,71+4......,71+34\\71,73,75,.......125[/tex]

The first term in this set is 71 and last term is 125.

Hence, the smallest possible set is 71,73,75,....125. The first and last terms in the sequence is 71 and 125 respectively.

Learn more about the airthmatic sequence here;

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Answer:

85

Step-by-step explanation:

Answer:

A z-score equal to 0 represents an element equal to the mean. ... A z-score equal to -1 represents an element that is 1 standard deviation less than the mean; a z-score equal to -2, 2 standard deviations less than the mean; etc.

Answer:

z=60 degrees

Step-by-step explanation:

Both triangles are similar which means their angles are the same but their sides/ legs aren't.

65+55=120

180-120=60

Answer:

x = 9

Step-by-step explanation:

take -6 to the other side so you add it to 30 = 36

equation is now 4x = 36

divide 4/4 and 36/4

x = 9

the solution to the equation 4x - 6 = 30 is x = 9

To solve the equation 4x - 6 = 30 and find the value of x, we can follow these steps:

1. Begin by isolating the term with the variable on one side of the equation. In this case, we want to isolate the 4x term. Add 6 to both sides of the equation:

  4x - 6 + 6 = 30 + 6

  4x = 36

2. To solve for x, divide both sides of the equation by 4:

  (4x) / 4 = 36 / 4

  x = 9

Therefore, the solution to the equation 4x - 6 = 30 is x = 9. When we substitute x with 9 in the equation, we have 4(9) - 6, which indeed equals 30. Thus, x = 9 satisfies the equation, and it represents the value that makes the equation true.

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Answer:

18

Step-by-step explanation:

Answer:

3.7m

Step-by-step explanation:

The set up will form of right angled triangle with;

the length of the wires (the hypotenuse) = 4m

The base of the tree from the wire (adjacent) = 1.5m

The height of the tree(opposite ) = x

According to pythagoras theorem;

hyp² = opp²+adj²

4² = x²+1.5²

16 = x²+2.25

x² = 16 - 2.25

x² = 13.75

x = √13.75

x = 3.708

Hence the tree is 3.7m high (to the nearest tenth)

Answer:

A50

Step-by-step explanation:

all angles should add up to 180

Answer:

I'm pretty sure it's A.

Answer:

slope m = 2

Step-by-step explanation:

to find the slope you have to pick two points in the line

(x1,y1) = (2,1)

(x2,y2) = (3,3)

And the equation for slope is

m = (y2-y1)/(x2-x1)

m = (3 - 1) / (3-2) = 2

Answer:

500

Step-by-step explanation:

25*20= 500 because only 20 were chosen

Answer:

500$

Step-by-step explanation:

Each sign that is chosen is worth 25$

they chose 20 signs so

25$ x 20 = 500$

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

35

Step-by-step explanation:

|-10-(25)|=|-10-25|=|-35|=35

Answer:

y= 12 + 0.25x

The slope would be 0.25 or 1/4 because the slope is ALWAYS the number that is next to X. I hope this helps!!!

Answer:

1. 8

2. (5,8)

Step-by-step explanation:

Hope this helps

Answer:

The question is incomplete, so I looked for similar ones and found:

Of the 25 girls on the Alden Middle School soccer team, 40% also play on a travel team. How many of the girls on the  middle school team also play on a travel team?

we can solve this the following way:

25 girls on the soccer team x 40% that play on a travel team = 10 girls form the soccer team that play on a travel team

we can also multiply (25 girls x 40) / 100 = 10 girls

we can check our work by:

10 girls / 40% = 25 girls in total

Answer:x=-12

Step-by-step explanation:

x/2+4=-2

Subtract 4 from each side

x/2=-6

Multiply each side by 2

x=-12

Answer:

X = -12

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Given:

A rope tied from a tent pole to a stake in the ground forms 55 degrees angle with the ground.

The pole is 3 feet from the stake.

To find:

The length of the rope to the nearest tenth of a foot.

Solution:

First draw a diagram according to the given information as shown below.

We know that, in a right angled triangle,

[tex]\cos \theta = \dfrac{Base}{Hypotenuse}[/tex]

In triangle ABC,

[tex]\cos 55^\circ=\dfrac{BC}{AC}[/tex]

[tex]0.573576=\dfrac{3}{AC}[/tex]

[tex]AC=\dfrac{3}{0.573576}[/tex]

[tex]AC=5.23034[/tex]

[tex]AC\approx 5.2[/tex]

Therefore, the length of the rope is 5.2 foot.

Answer: 7 bundles.

Step-by-step explanation:

The cost per bundle is $75.

The cost for shipping is $42.50

She spent $567.50 in total.

The shipping is paid only one time, as all the bundles can be packaged togheter.

Then after paying the shipping, the left spent is:

$567.50 - $42.50 = $525

And each bundle costs $75, then the number of bundles that she bought will be equal to the number of times that we have $75 in $525. This is equal to the quotient between $525 and $75.

N = $525/$75 = 7

She bought 7 bundles

Answer: Multiply the top equation by , multiply 3 the bottom equation by 2, then add the equations.

Step-by-step explanation:

6x - 15y = 39

+ (- 6x + 4y) + (26)

- 11y = 65

Answer:

How about asking your math teacher for help, instead of going to the internet?  As your math teacher, I think it would be a better idea than having your teacher find your internet post!

Step-by-step explanation:

I'll be waiting for an email.

Answer:

y=5$

Step-by-step explanation:

Answer:

Is there a picture you can give us? I will try to answer it once you do! :)

Answer: -40 so therefore the answer is negative

Answer:

Comunitive

Step-by-step explanation:

Answer:

The answer is Distributive Property

Step by Step:

Your given equation is 7(w+6)+4

You are distributing 7 to w to get 7w, and 7 to 6, to get 42. The plus 4 stays the same because you don't have anything to distribute.

Addition, is obviously wrong, does 7 + 6 = 42?  Multiplication is wrong. Sure you might be multiplying, but you are distributing to both numbers. And Commutative is DEFINITY wrong, because it has nothing to do with this situation

:D

Answer:

5

Step-by-step explanation:

8−(−9)−16−(−4)

=5

Answer:

5

Step-by-step explanation:

Answer:

x= 48 and PMO= 55

Step-by-step explanation:

  PMO= LMO so 55= x+7

 x+7=55

    -7     -7

x=48    

     Pmo = x+7 so (48)+7 = 55

Answer:y=-2/1x+12

Step-by-step explanation:

To find slope you need to use slope formula (y2-y1)/(x2-x1)

(2-4)/(5-4)

-2/1 is our slope

Now we need the y-int

Y=-2/1x+b

Take one of the given points and apply it to our equation

2=-2/1(5)+b

2=-10/1+b

2=-10+b

Add 10 to each side

12=b

Our final equation is

y=-2/1x+12

Answer:

7.05 inches

Step-by-step explanation:

h=7.5+.59(5)-3.4

h=7.5+2.95-3.4

h=10.45-3.4

h=7.05

Answer:

-3i

Step-by-step explanation:

6(3+2i)

3(6+5i)

18+12i

-

18+15i

=-3i