fine the sum of the first 8 terms of the arithmetic series 2+7+12+...

Answer: radius is is 12.

Step-by-step explanation:

Explanation: A circle with equation of the form x2+y2=r2 will have radius r=√144=12 .

Sorry, I'm not sure on the bottom part

We know,

The general equation for circle is –

[tex] { \boxed{\bf{\rm \red {(x \: - \: a)² \: + \: (y \: - \: b)² \: = \: r²}}}} [/tex]

[tex] \bf (a, \: b) \: = \: center \: coordinates [/tex]

[tex] \bf r \: = \: radius [/tex]

[tex] \bf a \: = \: 0 \: , \: b \: = \: 0 \: , \: r \: = \sqrt{144} \: = \: 12 [/tex]

[tex] \bf Center \: coordinates \: = \: (0, \: 0) [/tex] [Answer]

[tex] \bf Radius \: = \: 12 [/tex] [Answer]

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NOTE – Refer the above attachment.

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Answer and Step-by-step explanation:

The value of x is 75.

This is because we are given an Isosceles Triangle. Isosceles Triangles always have 2 legs/sides that are the same length, and because those two sides have the same length, it means their base angles have the same value as well.

So, Since the we have an Isosceles Triangle, the angle containing 75 is equal to the angle containing x.

#teamtrees #PAW (Plant And Water)

Answer:

x = 75°

Step-by-step explanation:

Answer:

a b e

Step-by-step explanation:

The cost of the lunch after a 12% of increment will be $9.52. Then the correct options are A, B, and E.

How much any item is given like it was an extent of 100. The proportion can be communicated as a fourth of 100. The expression % deciphers for 100%. It is represented by the person '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The cost (p) of a lunch unique is $8.50. The eatery builds the cost by 12%.

The total amount of lunch will be given as,

⇒ p + 12% of p

⇒ p + 0.12p

⇒ 1.12p

Put p = $8.50, then the cost is given as,

⇒ 1.12 x $8.50

⇒ $9.52

The expense of the lunch after a 12% of augmentation will be $9.52. Then, at that point, the right choices are A, B, and E.

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The complete questions are attached below.

Answer:

x= 30, y= 90

Step-by-step explanation:

Let the smaller number be x and the greater number be y.

Given that the sum of the 2 numbers is 120,

x +y= 120 -----(1)

The greater number is 3 times the smaller number:

y= 3x -----(2)

Substitute (2) into (1):

x +3x= 120

Simplify:

4x= 120

x= 120 ÷4 (÷4 on both sides)

x= 30

Substitute x= 30 into (2):

y= 3(30)

y= 90

Answer:

Let the first number be x

Then the second number will be 3 × x = 3x

According to the question

3x + x = 120

4x = 120

Taking 4 to RHS

x = 120/4

x = 30

Number are

x = 30

3x = 3(30) = 90

[tex] \\ [/tex]

Answer:

Step-by-step explanation:

Basically, you need to convert the text from the four entries into (time, temperature) data points.

Entry 1: It says it starts at 8 AM and the temperature was "quite warm."

(8 AM, "quite warm")

Entry 2: It says the time is "about midmorining" (so between 8 AM and 12 PM - say 10 AM), and the temperature dropped to 63F. Since it says the temperature dropped to this temperature, we can say that for entry 1, the temperature was higher than 63 F - say, 73 F.

(8 AM, 73 F) - revised first entry

(10 AM, 63 F)

There is a storm for about 1 hour.

Entry 3: After the storm, there was a "warm breeze." Since the storm was about 1 hour, we could say the time was 11 AM. While a temeprature isn't given, according to the North Carolina Climate Office (climate.ncsu.edu/edu/Thunderstorm), most storms result in cooling of 10-15 degrees. Let's put it at about 10 degrees.

(11 AM, ~53 F)

Entry 4: It says the temeprature steadily warmed, and at 4 PM, the temperature 89F.

(4 PM, 89 F)

Now we have four data points that fit the text from the given entries:

(8 AM, 73 F)

(10 AM, 63 F)

(11 AM, 53 F)

(4 PM, 89 F)

With these points, we can make a table and graph (see attached).

Answer: 4

Step-by-step explanation:

u+3=7

u=7-3

u=4

Answer:

a) b ≈ 100

b) m ≈ 30

Step-by-step explanation:

Answer:

Two packs of buns and three hotdog packages

Step-by-step explanation:

Answer:

the given value x=13 is not a solution of the inequality

Step-by-step explanation:

we first need to solve this inequality (can treat the inequality like a normal equation to solve it)

5x-17 > 62

5x > 79

x>(79/5)

keep in mind that (79/5)=15.8

so x needs to be bigger than 15.8 in order to satisfy this inequality.

since 13<15.8 when x=13 it does not satisfy the inequality

therefore the given value x=13 is not a solution of the inequality

Answer:

No

Step-by-step explanation:

Average amount of shampoo in a shampoo bottle: 16oz

16oz x 10 = 160oz = about 1.25 gallons

1.25 [tex]\neq[/tex] 3

Answer:

If the bottles are greater than 38.4 oz then the total volume would be greater than 3 gallons.

If the bottles are less than 38.4 oz the total volume would be less than 3 gallons.

Step-by-step explanation:

Needs more info, specifically what size shampoo bottles.

We can still figure out some info from what is given though...

let's convert to ounces since most shampoo bottles are ounces not gallons...

3 gallons=384 ounces

figure out what size bottle would exactly equal 384 oz when there are 10 bottles...

10x=384

x=38.4

If the bottles are greater than 38.4 oz then the total volume would be greater than 3 gallons.

If the bottles are less than 38.4 oz the total volume would be less than 3 gallons.

Answer:

c = 13

Step-by-step explanation:

To find the value of c, we are to make use of Pythagoras’ theorem

From the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides

Using the sides given;

c^2 = a^2 + b^2

c^2 = 12^2 + 5^2

c^2 = 144 + 25

c^2 = 169

c = √169

c = 13

Answer:

25 percentage

Step-by-step explanation:

hope it helps you

Answer:

167,772,160

Step-by-step explanation:

-Each term is multiplied by 2-

10, 20, 40, 80, 160, 320, 640, 1,280, 2,560, 5,120, 10,240, 20,480, 40,960, 81,920, 163,840, 327,680, 655,360, 1,310,720, 2,621,440, 5,242,880, 10,485,760, 20,971,520, 41,943,040, 83,886,080, 167,772,160

167,772,160 is the 25th term

Answer:

x = √6 - 2 , -√6-2

Step-by-step explanation:

We have ,

=> y = x² + 4x - 2

=> x² + 4x - 2 = 0

=> x² + 2(2)(x) - 2 = 0

=> x² + 2(2)(x) +2² - 2² -2 = 0

=> x² + 2(2)(x) + 2² -4-2 = 0

=> ( x + 2 )² -6 = 0

=> ( x +2)² = 6

=> ( x + 2) = √6

=> x + 2 = ±√6

=> x = √6 - 2 , -√6-2

The solution for x in terms of y is x = √y - 2 + √6.

To solve the quadratic equation y = x² + 4x - 2 by completing the square, we need to follow a few steps:

Step 1: Move the constant term to the right side of the equation:

y + 2 = x² + 4x

Step 2: Take half of the coefficient of x and square it. Add the resulting value to both sides of the equation to create a perfect square trinomial on the left side:

y + 2 + (4/2)² = x² + 4x + (4/2)²

y + 2 + 4 = x² + 4x + 4

y + 6 = (x + 2)²

Step 3: Rewrite the equation in vertex form:

(y + 6) = (x + 2)²

The equation is now in the form y = (x - h)² + k, where (h, k) represents the vertex of the parabola.

Therefore, the vertex is (-2, -6), and the equation represents a parabola that opens upward.

To solve the equation (y + 6) = (x + 2)² for x, we need to isolate x. Here's how:

Start with the equation: (y + 6) = (x + 2)²

Subtract 6 from both sides of the equation: (y + 6) - 6 = (x + 2)² - 6

Simplify: y = (x + 2)² - 6

Take the square root of both sides of the equation: √y = √[(x + 2)² - 6]

Simplify: √y = x + 2 - √6

Subtract 2 from both sides of the equation: √y - 2 = x - √6

Rearrange the equation to solve for x: x = √y - 2 + √6

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Answer:

2.8

Step-by-step explanation:

i used a calculator

Answer:

8

Step-by-step explanation:

After 30 minutes Emily and Jennifer charged an equal amount

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Let us find charges for emily and Jennifer

For Emily

The line passing through points (0, 6) and (6, 8)

Slope =2/6=1/3

y intercept is 6

6=b

Equation is y=1/3x+6

Now let us find for Jennifer (0, 4) and (5, 6)

m=2/5

y intercept is 4

Equation is y=2/5x+4

Now equation both equations

1/3x+6=2/5x+4

1/3x-2/5x=4-6

x(1/3-2/5)=-2

x(5-6)/15=-2

-x/15=-2

x=30

Hence, after 30 minutes Emily and Jennifer charged an equal amount

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Answer:

27/50 is the answer.

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 5500 × 0.06 × 2.5 = 825

I = $ 825.00

The simple interest accumulated

on a principal of $ 5,500.00

at a rate of 6% per year

for 2.5 years is $ 825.00.

if it takes 5 people 125 days to compete the research then we know that 50 persons will do it in 25 days

so you need 50 people!!!

Answer:  

I do not think any option given can make the ploted box and whisker plot.

Step-by-step explanation:

Reason for that is

Most left  part of left side  in your case red point on left side  represents the start of your data ... lowest  number of given data set

Like that   Most right part of right side  in your case red point on right  side  represents the End  of your data  ....means the hightest number of data  

on left side where the box starts it indicates the  lower quartile That is Q1  while  from where the box starts on right side it indicates the upper quartiles Q3 and there will be a line in somewhere in box that  represents  the medians of given data .  

Answer:

96

Step-by-step explanation:

64 x 1.4 = 96

V = 115999.674 cm3

Answer:C

Step-by-step explanation:332 square in

Answer:

The answer is C, 332 in.2.

Step-by-step explanation:

Just did the unit test on edge. Hope this was able to help, have a good day <3 :)

Divide the figure into 3 shapes: 2 rectangles and 1 square

Area of rectangle 1: L * W

L = 5, W = 2

2 * 5 = 10 m^2

Area of rectangle 2: L * W

L = 6 + 2 , W = 3

8 * 3 = 24 m^2

Area of square: s^2

2^2 = 4 m^2

Add all them together

10 + 24 + 4 = 38 m^2

Step-by-step explanation:

Area of the top Horizontal Rectangle =

Length x Width

=

[tex](5 + 3 + 2) \times 2 \\ = 10 \times 2 \\ = 20 {m}^{2} [/tex]

Area of the bottom vertical rectangle =

Length x Width

=

[tex]6 \times 3 \\ = 18 {m}^{2} [/tex]

Total Area = Sum of Area of 2 Rectangles

=

[tex]20 + 18 \\ = 38 {m}^{2} [/tex]

Answer:

y+1=7/13(x-6)

Step-by-step explanation:

the equation for point-slope form is y-y1=m(x-x1), where (x1,y1) is a point and m is the slope

first, we'll find the slope (m)

from two points, the slope is calculated as (y2-y1)/(x2-x1)

we're given (6,-1) and (-7,-8)

we can label the points

x1=6

y1=-1

x2=-7

y2=-8

now substitute into the formula

m=(-8--1)/(-7-6)

m=-7/-13

m=7/13

the slope (m) is 7/13

we already have labeled values for (x1,y1) which we made (6,-1)

substitute our known values into the equation

y--1=7/13(x-6)

simplify

y+1=7/13(x-6)

hope this helps!

Answer:

$545

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Area for a square is s² where 's' is a side (all sides have the same length)

Answer:

1. BC=25

2. DC=30

Step-by-step explanation:

In a parallelogram, pairs of opposite sides are always equal. The side opposite of AD is BC, so if AD=25, BC=25. Likewise, if side AB=30, side DC=30. Of course, this is assuming the shape is a parallelogram. If it is not, there is no way of determining the side lengths.

lmk if im wrong, hope this helps :)