The area of a rectangular fountain is (x^2+ 13x + 22) ft. The width is (x + 2) ft.

a. Find the length of the fountain.

Answer:

RULE OF LAW Defined

A rule of law framework that includes the following:

[tex]\color{yellow}{}[/tex]

v = u + 5t

v = -15 + 5(4)

v = -15 + 20

v = 5

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]v = u + 5t[/tex]

Given,

[tex]u = - 15 \\ t = 4 \\ v = \: ?[/tex]

To find the value of v, we must substitute the values of u & t in the equation ⇻ v = u + 5t.

[tex]v = u + 5t \\ v = ( - 15) + 5(4) \\ v = - 15 + 20 \\ v = 5[/tex]

✐ The value of v is 5.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

n < -2

Step-by-step explanation:

-2n – 2 > 2

-2n (– 2 + 2) > 2 + 2

-2n > 4

-2n/-2 > 4/-2

n < -2

Answer:

-2.63 ft./hour

Step-by-step explanation:

The level of the tide in a harbor changes from 813 feet to 256 feet above sea level over a period of 212 hours. What is the change in tide level per hour over this period of time?

Solution:

The initial tide level was 813 feet while the final tide level was 256 feet above sea level within a period of 212 hours.

The change in tide level per hour is the ratio of the change in tide level to the period taken. Hence:

Change in tide level per hour = (Final tide level - initial tide level) / time taken

Change in tide level per hour = (256 ft. - 813 ft.) / 212 hours

Change in tide level per hour = -2.63 ft./hour

Answer:

616.8

Step-by-step explanation:

look it up

Answer:

616.8 quarts

Step-by-step explanation:

Answer:

Tn = 12(-1/2)^n

Step-by-step explanation:

We have the nth term of a geometric sequence as

Tn = ar^n-1

a is the first term

r is the common ratio

n is term number

by dividing the second term by the first, we can have the common ratio

We have this as -6/12 or 3/-6 = -1/2

a the first term is 12

So we have the explicit formula as;

Tn = 12(-1/2)^n

Answer:

Step-by-step explanation:

a+(-a)

=a-a

=0

Answer:

31 questions, but it's impossible to score 75%.

Step-by-step explanation:

It's impossible to get exactly a score of 75% out of 42 questions. However, you can get the next closest percentage, which is rounded up to 74% with 31 questions right out of 75.

This is because 31 / 42 = 0.738... You can round 0.738 to 0.74. Then multiply 0.74 by 100, which gives you 74. This means the closest score you can get to 75 is 74% with 31 questions.

You can also score 76% with 32 questions right out of 42 questions. This is because 32 / 42 = 0.761... You can round 0.761 to 0.76. Then multiply 0.76 by 100, which gives you 76.

Answer:

Step-by-step explanation:

radius=diameter/2

=36/2

=18 inches

circumference=2πr

=2*3.14*18

=113.04 inches

Answer:

1 / 3

Step-by-step explanation:

Number of balls :

Red, R = 3 ; Blue, B = 2 ; Yellow, Y = 1

Total = 6

From two draws without replacement, probability that 2nd draw is blue :

Possibilities :

P(RB) or P(YB) or P(BB)

P(RB) = 3/6 * 2/5 = 6/30

P(YB) = 1/6 * 2/5 = 2 /30

P(BB) = 2/6 * 1/5 = 2 / 30

HENCE,

P(RB) + P(YB) + P(BB)

6/30 + 2/30 + 2/30 = 10/30 = 1/3

Answer:

D = 10.1m

Step-by-step explanation:

We know that the volume of a sphere of radius R is:

V = (4/3)*pi*R^3

where pi = 3.14

A hemisphere is half a sphere, then the volume of an hemisphere is half of the volume of a sphere, then the volume of a hemisphere of radius R is:

V' = (1/2)*(4/3)*pi*R^3

Now, we know that our hemisphere has a volume:

V' = 272m^3

Then we can solve the equation:

272m^3 =  (1/2)*(4/3)*pi*R^3

For R.

(we want the diameter, but remember that the diameter is equal to two times the radius, so finding the radius is a good start)

272m^3 =  (1/2)*(4/3)*pi*R^3

272m^3 =  (4/6)*3.14*R^3

272m^3*(6/4*3.14) = R^3

∛( 272m^3*(6/4*3.14) ) = R = 5.06 m

And the diameter is two times that, so we get:

D = 2*5.06m = 10.12 m

Rounding this to the nearest tenth of a meter (first digit after the decimal dot), we get:

D = 10.1m

Answer:

The rate of simple interest is 0.125, or 12.5%.

Step-by-step explanation:

If the man must repay $750 after 4 years on a $500 loan, the simple interest would be ($750-$500), or $250.

The simple interest formula is i = p*r*t.  Solving this for the interest rate, r, yields

        i

r = ----------

       p*t

and so, with i = $250, p = $500 and t = 4 yr, we find r as follows:

         $250

r = ----------------- = 0.125

         $500*4

The rate of simple interest is 0.125, or 12.5%.

Answer:

Length: 12 meters

Step-by-step explanation:

Step 1:

Let us start with the formula of the perimeter of a rectangle, [tex]P=2l+2w[/tex], where l represents the length of the rectangle, and w represents the width of the rectangle.

We can set width as variable x. We are also given that the length is three times the width, hence it can be represented as 3x.

Step 2:

We can now write our equation and solve for x :

[tex]24=2x+2*2x\\24=2x+4x\\24=6x\\x=\fbox{4}[/tex]

We set x as width, so the width is 4 meters. However, in this problem we are looking for the length. The length is three times the width, so it would be [tex]\fbox{12}[/tex] meters.

I hope this helps! Let me know if you have any questions :)

Answer:

From the given information, there are two equations in terms of x and y:

2x + 2y = 24 (perimeter of the rectangular plot)

         x = 3y (relationship between length and width)

The second equation is expressed in terms of x, so directly substitute the value of x into the first equation and find y:

2(3y) + 2y = 24

              y = 3

Substitute y in the second equation to find x:

x = 3(3)

x = 9

The fencing cost is $25 multiplied by the length of the side Sam wants to fence: 25 × 9 = 225. Therefore, Sam needs to spend $225 to fence that side of his plot.

Step-by-step explanation:

Answer:

✅On average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.

✅On average, it rains more in Zachary in a year.

Step-by-step explanation:

Mean annual rainfall on average = total amount of rainfall for the period of years ÷ 10

✔️Mean Annual rainfall for Albany (in.):

= (22.82 + 19.83 + 28.40 + 23.35 + 30.78 + 21.34 + 11.20 + 17.04 + 18.63 + 16.28) ÷ 10

= 20.967

✔️Mean Annual rainfall for Zachary (in.):

= (26.41 + 23.54 + 30.02 + 26.35 + 34.24 + 25.74 + 18.98 + 21.26 + 23.61 + 21.38) ÷ 10

= 25.153

✅Therefore, on average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.

✅On average, it rains more in Zachary in a year.

Answer: I think so since it’s a decimal

Step-by-step explanation:

Answer:

1 to 25 students require (at least) 2 chaperones. ... 51 to 75 students require (at least) 6 chaperones.

PLEASE MAKE ME BRAINLIEST ANSWER

Step-by-step explanation:

Answer:

x= 31

Step-by-step explanation:

Answer:

x = 61.6 degree

Step-by-step explanation:

take x degree as reference angle

using sin rule

sin x = opposite / hypotenuse

sin x = 4.8 / 5.4

sin x = 0.88

x = [tex]sin^{-1} (0.88)[/tex]

x = 61.64

x = 61.6 degree

9514 1404 393

Answer:

  a) (x +2)(x +3)

  b) x = -2 or -3

Step-by-step explanation:

a) The constants in the binomial factors will be divisors of 6 that have a sum of 5. You know that ...

  6 = 1×6 = 2×3

The sums of these factor pairs are 7 and 5. You want the pair 2, 3. The factors are ...

  x² +5x +6 = (x +2)(x +3)

__

b) The solutions to the equation are the values of x that make the factors zero:

  (x +2) = 0   ⇒   x = -2

  (x +3) = 0   ⇒   x = -3

Answer: 26 and 31.5

Step-by-step explanation: it litterally shows it in the picture

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}=a^{m+n}\\\\\hx^{8} * hx^{-9} = h^{1+1} *x^{8 +(-9)}\\\\ =h^{2}x^{-1}[/tex]

Answer:

The first number is 138.

Step-by-step explanation:

Let the first number be x.

Then since they are consecutive numbers, the second number will be (x + 1), the third (x + 2), the fourth (x + 3) and the fifth being (x + 4).

We are given that their sum is 700. Therefore:

[tex]x+(x+1)+(x+2)+(x+3)+(x+4)=700[/tex]

Solve for x. Combine like terms:

[tex]5x+10=700[/tex]

Subtract 10 from both sides:

[tex]5x=690[/tex]

Divide both sides by five. Therefore:

[tex]x=138[/tex]

The first number is 138.

Answer:

138

Step-by-step explanation:

(n) + (n+1) + (n+2) + (n+3) + (n+4) = 700

5n + 10 = 700

5n = 690

n = 138

Answer:

I would go with the third one (the one on the bottom left) since that seems like me lol

Answer:

If they would both work at the same speed they would each take 4 hours to complete the room. So in total they would work 8 hours. But because Carl can finish three hours before Jennifer 3 hours of the eight already got to Jennifer. Then we divide the resting 5 hours by the two and then we have:

Jennifer:

3+2,5=5,5

Carl:

2,5

( if I am right)

Answer:

Step-by-step explanation:

If the coordinates are (0, a) and (b, 0), we just use the distance formula to find the distance in terms of a and b:

[tex]d=\sqrt{(0-a)^2+(b-0)^2}[/tex] and

[tex]d=\sqrt{(-a)^2+b^2}[/tex] which simplifies to

[tex]d=\sqrt{a^2+b^2}[/tex]

and that's it!

Answer: 1.35, 2.5, 1.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) 2.5^=97.6

2) 1.8^5= 18.8

3) 1.35^5=4.4

or

1) 2.50

2) 1.80

3) 1.35