How high up on a wall will a 20-foot ladder touch if the foot of the ladder is placed
4 feet from the base of the wall?

Answer:

C. employees per pool...

Answer:

6 (4757)

Step-by-step explanation:

We are to find the number of terms in the AP that has a sum greater than 250

The number of teams in the AP which has a sum greater than 250 is at least 11 terms

First term, a = 3

second term, a + d = 8

so

common difference, d = 8-3

= 5

let

n = number of terms in the AP

The sum of n terms is 250

Sum = n/2{2a + (n - 1)d}

250 = n/2{2*3 + (n-1)5 }

250 = n/2{6 + 5n - 5}

250 = n/2(1 + 5n)

500 = n + 5n²

5n² + n - 500 = 0

Solve quadratically using formula

n = -b ± √b² - 4ac / 2a

= -1 ± √1² - 4(5)(-500) / 2(5)

= -1 ± √1 - (-10000) / 10

= -1 ± √1 + 10000 / 10

= -1 ± √10001 / 10

= -1 + √10001 / 10 or -1 - √10001 / 10

= -1/10 + √10001/10

or

-1/10 - √10001 / 20

= 9.9005 or -10.1005

The value of n must be positive and a whole value

Therefore,

n = 9.9005

Approximately, n = 10

The number of teams in the AP which has a sum greater than 250 is at least 11 terms

Read more:

https://brainly.com/question/24321873

[tex] \frac{6a - {b}^{2} }{2} + \binom{b}{a} ^{2} [/tex]

a=2 b=4

[tex] \frac{6(2) - {4}^{2} }{2} + \binom{4}{2}^{2} [/tex]

[tex] \frac{12 - 16}{2} + \frac{16}{4} [/tex]

[tex] \frac{ - 4}{2} + 4 [/tex]

[tex] - 2 + 4 = 2[/tex]

answer is option a 2

please mark this answer as brainlist

Hey there!

-4 + y + 4y - 5x + 2x - 3

COMBINE the LIKE TERMS

= (-5x + 2x) + (y + 4y) + (-4 - 3)

= -3x + 5y - 7

Answer: -3x + 5y - 7

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

75/4 cups (or 18-3/4 cups)

Step-by-step explanation:

2 people ---> requires 3 3/4 cups (or 15/4 cups) of shaving cream

10 people ----> requires 5 times the amount of shaving cream needed for 2 people

Hence shaving cream is needed for 10 people

= 5 x 3 3/4 cups

= 5 x 15/4 cups

= 75/4 cups (or 18-3/4 cups)

lemme know if it helped <3. and lemme me know if it's right :) .!

Answer:

2 is your answer

Step-by-step explanation:

6x2=12

Answer:

72

Step-by-step explanation:

[tex] \frac{x}{6} = 12 \\ x = 12 \times 6 \\ x = 72[/tex]

Answer:

13405 -- 2425 = 10980

Step-by-step explanation:

Answer:

-----> 13405-2425= 10980

Answer:

A is the right answer. so right it

Answer:

5,-0.5 is the answer to the fist one

Step-by-step explanation:

they want you to give the middle point of the line segment when you have graphed the two end points,... find the coordinates of the point the would be in the middle,... Best of luck,... Chow

Answer:

the question is?

Step-by-step explanation:

Answer:

[tex]a=\frac{-5}{2}[/tex]

Step-by-step explanation:

[tex]2a+9=4[/tex]

[tex]2a=4-9[/tex]

[tex]2a=-5[/tex]

[tex]a=\frac{-5}{2}[/tex]

Answer:

0

Step-by-step explanation:

To find the slope, we can use the slope formula

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

    = (0-0)/(4- -10)

    = (0-0)/(4+10)

    = 0/14

   =0

Answer:

it is [tex]5[/tex]

Answer:

17 miles per gallon

Step-by-step explanation:

Divide 51 by 3. Here's a better way to understand it:

Create a ratio to represent miles to gallons: 51-to-3

To find the ratio of miles per gallon, it's implying x miles for 1 gallon. To get this x value, you divide both sides by 3.

51/3 = 17miles/gallon

Answer:

[tex]\displaystyle 3[/tex]

Explanation:

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A|[/tex]

AND

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A|[/tex]

Accourding to the graph AND the above information, your amplitude is three units. This means each crest is extended three units beyond the midline of [tex]\displaystyle y = 0,[/tex] the centre of your graph, also known as the vertical shift. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

Now, just in case you wanted to know the equation(s) of this graph, look below:

[tex]\displaystyle y = 3sin\:(\frac{\pi}{2}x + \frac{\pi}{2}) \\ y = 3cos\:\frac{\pi}{2}x[/tex]

I am delighted to assist you at any time.

Answer:

The possible dimensions of the deck can be anything that adds up to be 130 m.

Step-by-step explanation:

The perimeter could be 1m x 64m.

Two sides would be 1m each (so 2m total) and the other two sides would be 64m each (128m total). 2 + 128 = 130m.

The perimeter could be 15m x 50m.

Two sides would be 15m each (so 30m total) and the other two sides would be 50m each (100m total). 30 + 100 = 130m.

Step-by-step explanation:

Citydog Screen Printers received two orders for a t-shirt designed for a math symposium. The first order was for 40 shirts at a total cost of $295 and the second order was for an additional 80 shirts at a total cost of $565. Each order included a shipping and handling charge.

Then we have to writer a linear equation, for which I got: y-27/4x+25. We also had to find the cost per t-shirt, for which I got: $31.75. The last part I don't understand, however: fidn the shipping and handling charge.

The second word problem is:

It costs Consolidated Cereals Corporation $1050 to produce 100 boxes of corn flakes and $1250 to produce 500 boxes. I found the cost function: c(x)=1/2x+1000 but don't know how to determine the fixed cost and the variable cost per box (mainly because I have no idea what those are.)

Cost= m x+b

x is the cost per shirt, b is the handling charge

295=40m+b

565=80m+b

subtract the first equation from the second:

370=40x solve for m, the cost of each shirt. Then solve for b, put all that into y= mx+b

One the second question,

Cost= variable cost * n + Fixedcosts or

cost= n*v+F

1250=500v+f

1050=100v+f

subtract the second equation from the first

200=400v solve for v, and it is 1/2 dollar. Solve for f, the fixed cost, and it looks as if it is 1000 dollars.

Answer:

hence rate of interest is 8% and time 8 years

Step-by-step explanation:

Answer:

if we add 8 then the answer will be 30"

because

if 22is added 8 then it became 30

22+8= 30

simple

Answer:

all the real numbers greater then 0

Answer:

[tex] \frac{3p}{5} - 15 = 3 \\ 3p - 15 = 15 \\ 3p = 15 + 15 \\ 3p = 30 \\ p = 10[/tex]

Answer:3

Step-by-step explanation:

Answer:

1/2(x + y)

Step-by-step explanation:

The sum of x and y is  x + y

1/2 the sum of x + y is 1/2(x + y)

1/2 x^3

This is subtracted from y

y - 1/2 x^3

60 days or 8.5 weeks

Step-by-step explanation:

1800-600=1200

1200/20=60

60/7=8.5

-4/17

Step-by-step explanation:

-1/2×3/5÷-51/40

= -1/2×3/5×40/51

=-4/17

Answer:

c. 0.00632

Step-by-step explanation:

Since 10 is raised to a negative 3, this means that the zeros come before the non-zero digits