Based on an architectural drawing, a roof slopes to a drain
along the function represented in the table that defines the
edge of slope, where x is the horizontal distance in feet and
f(x) is the vertical distance in feet.
If the drain is at the minimum point, how far is it from the wall
defined by the y-axis?
0 feet
8 feet
80 feet
160 feet

Answer:

28 days

Step-by-step explanation:

because the frog climbs 3m in the day, but falls 2m at night, it technically climbs 1m every 24 hours. this means after the 1st day, it will have climbed a total of 1m, on the second, it will have climbed a total of 2m, and so on. however, when it gets nearer to the top, that's when things start to change. after the 26th day, it will have climbed 26m. on the 27th day, it will be 27m, but then when it jumps 3m the next day, it will reach 30m total before it falls during the night and it will be able to get out of the hole.

i hope this helps! :)

Answer:

a

Step-by-step explanation:

b+8=13.

first,you have to make b the subject of the formula (stand alone) and for that to happen +8 will have to cross the equality sign.when a positive sign crosses over the equality sign it changes to a negative sign.

so that would be b=13-8

Therefore,b=5(a)

Answer:

15000 - 750x

Step-by-step explanation:

Holly is trying to save $25, 000 to put a down payment on a condominium. She started with $10,000 and saved an additional $750 each month.

Let

y = dollars

x = number of months

Since she started her savings with $10, 000 her remaining amount to pay will be 25000 - 10000 = $15000 .

The amount will also be reducing by $750 per month

Therefore,

How far she is from her goal can be represented with the equation

15000 - 750x

Answer:

±3

Step-by-step explanation:

sqrt(9)

3*3 = 9

-3*-3 = 9

sqrt(9) = ±3

Answer:

a. 34

b. 0

Step-by-step explanation:

you plug the n values as n

note when -n^2, you do this:

        [tex]-(2)^{2}[/tex]= -4

so don't mistake it for +4

pay special attention to the signs to solve like:

+ times - is a negative!

Answer:

Simplified Expression a ) 2n^2 + 7n - 5,

Simplified Expression b ) 8n^2 - 11n - 10,

When n = 3 part a ) 34,

When n = 2 part a ) 17,

When n = 3 part b ) 29,

When n = 2 part a ) 0

Step-by-step explanation:

Consider the " simplification " process at hand;

[tex]a ) (5n^2 + 3n -4) + (-3n^2 + 4n -1),\\5n^2+3n-4-3n^2+4n-1,\\5n^2-3n^2+3n+4n-4-1,\\\\Simplified Expression = 2n^2+7n-5[/tex]

[tex]b ) (7n^2 - 5n - 2) - (-n^2 + 6n + 8),\\7n^2-5n-2+n^2-6n-8,\\\\Simplified Expression = 8n^2-11n-10[/tex]

For each part ( a and b ) I removed the ( ) and grouped like elements to receive the simplified expression;

Value of each polonomial;

[tex]a ) 2n^2 + 7n - 5,\\2 * ( 3 )^2 + 7 * ( 3 ) - 5,\\34\\\\2 * ( 2 )^2 + 7 * ( 2 ) - 5\\17[/tex]

[tex]b ) 8n^2 - 11n - 10,\\8 * ( 3 )^2 - 11 * ( 3 ) - 10,\\29\\\\8 * ( 2 )^2 - 11 * ( 2 ) - 10,\\0[/tex]

Each expression was solved through substitution and algebra.

" Simplified " Solution - See in answer above

* I hope the answer wasn't too confusing, for further information look through my response thoroughly

Answer:

[tex]\frac{x^2}{16} +xy+4y^2[/tex] can be factored out as: [tex](\frac{x}{4} +2\,y)^2[/tex]

Step-by-step explanation:

Recall the formula for the perfect square of a binomial :

[tex](a+b)^2=a^2+2ab+b^2[/tex]

Now, let's try to identify the values of [tex]a[/tex] and [tex]b[/tex] in the given trinomial.

Notice that the first term and the last term are perfect squares:

[tex]\frac{x^2}{16} = (\frac{x}{4} )^2\\4y^2=(2y)^2[/tex]

so, we can investigate what the middle term would be considering our [tex]a=\frac{x}{4}[/tex], and [tex]b=2y[/tex]:

[tex]2\,a\,b=2\,(\frac{x}{4}) \,(2\,y)=x\,y[/tex]

Therefore, the calculated middle term agrees with the given middle term, so we can conclude that this trinomial is the perfect square of the binomial:

[tex](\frac{x}{4} +2\,y)^2[/tex]

Answer:

False

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

√7x is the square root of 7x

while x√7x is equivalent to x multiplied ythe square root of 7

Answer:

Step-by-step explanation:

24-hour time has 12 hours added for p.m. The time is written as HHMM, a 4-digit number of "hours." (The two right-most digits are minutes.)

1) 7:25 p.m.   ⇒   1925 hours

2) 9:10 a.m.   ⇒   0910 hours

__

12-hour time starts at midnight, 12:00 a.m. That corresponds to 0000 hours in 24-hour time. Anything beyond 1200 hours is afternoon, p.m.

1) 0010 hours   ⇒   12:10 a.m.

2) 1800 hours   ⇒   6:00 p.m.

Answer:

245/999

Step-by-step explanation:

0.245bar = n

1000 n - n = 245

999n = 245

n = 245/999

Answer:

B,Friday

Step-by-step explanation:

4 to 9 is 5 hours,the total hours for the week is 32.5 hours

Answer:

The original or the Bigger prism's volume would be 15 x 6 x 10= 900 cubic centimetres given that the smaller prism has not been cut out.

the volume of the cut-out cube would be 6 x 4 x 6= 144 cubic centimetres

so the original volume of the prism is 900 - 144= 756 cubic centimetres

Answer:

select answers: A), B), C),  D), and E)

Step-by-step explanation:

Please see attached image with the figure obtained by joining the given points.

Notice that the figure is that of a square, and a square happens to be a very special case of a bunch of other figure definitions, like:

rectangle (four side figure with parallel sides and right angles at the vertices) So the square is a special type of rectangle.

Rhombus (four side figure with all sides of the same length) So the square is a special type of rhombus)

Trapezoid (four side figure with at least two parallel sides), So the square is a special type of trapezoid.

Parallelogram (four side figure with two pairs of parallel sides) So the square is a special type of parallelogram.

Therefore you need to select answers: A), B), C),  D), and E)

Answer:

16h⁴b²

Step-by-step explanation:

(4h²b)²= 4²(h²)²b²= 16h⁴b²

Answer:

9 th term

Step-by-step explanation:

Equate 65 - 4n to 29 and solve for n , that is

65 - 4n = 29 ( subtract 65 from both sides )

- 4n = - 36 ( divide both sides by - 4 )

n = 9

Answer:

Step-by-step explanation:

:D

Answer: 2,695

Step-by-step explanation:

5-6+8*674/2

Multiply 8 and 674

5-6+5,392/2

Divide 5,392 by 2

5-6 + 2,696

Subtract 6 from 5

-1 + 2,696

Add

2,695

Step-by-step explanation:

5 - 6 = -1

-1 + 8 = 7

7 x 674 = 4,718

4,718 / 2 = 2,359

Answer:

4 11/12

Step-by-step explanation:

x2−4x−12<0

x2+10x−24<0

x−1=2y

x=−5912

Decimal Form:

x=−4.91¯6

Mixed Number Form:

x=−4 11/12

Answer:

There is no solution to this.

Step-by-step explanation:

Maybe check for a typo?

you would first need to calculate the discriminant, D= b^2-4 a c

D= (-12)^2 -4*1*59

Simplify

D=-92

Since D<0, the quadratic equation has no real solutions.

Answer: 12a

Step-by-step explanation:

All we need to do is combine the like terms. Which all of them have the common variable a so we can add and subtract them together.

6a - 3a + 9a

Working left to right according to pemdas we can subtract first.

3a + 9a

Now add.

12a

That is as far as we can simplify.

Answer: $1133

Step-by-step explanation:

Programmer's pay for 51 weeks will be

(51 * 58916) / 52 = 57,783

Loss in salary

= 58916 - 57783 = 1133

Answer:

Options A, E

Step-by-step explanation:

If the angle doesn't lie inside this triangle, we can assume it is an exterior angle, provided it is between a side of this triangle and an adjacent side extended outward;

[tex]< 4 - Doesn't Lie In Triangle, - Exterior Angle,\\< 3 - Lies In Triangle, - Interior Angle,\\\\< 6 - Doesn't Lie In Triangle, Execption, - Neither Interior Nor Exterior,\\\\< 1 - Lies In Triangle - Interior Angle,\\< 5 - Doesn't Lie In Triangle - Exterior Angle\\\\< 2 - Lies in Triangle - Interior Angle[/tex]

Refer to Solution below;

A. Check!

E. Check!

Answer:

B.

Step-by-step explanation:

[tex]24^{\frac{1}{3} }[/tex]

=> [tex](2*2*2*3)^{\frac{1}{3} }[/tex]

=> [tex](2^3*3)^{\frac{1}{3} }[/tex]

=> [tex]2\sqrt[3]{3}[/tex]

Answer:

242

Step-by-step explanation:

Here, we want to calculate t15 + t25

Mathematically, nth term is

a + (n-1)d

here, a = 26 and d = 31-26 = 5

t15 = 26 + (15-1)5

t15 = 26 + 70

t15 = 96

t25 = 26 + (25-1)5

t25 = 26 + 120

t25 = 146

t15 + t25 = 96 + 146 = 242

Answer:

1 1/5 [tex]\geq[/tex] x  OR one and on fifth is greater than or equal to x.

Step-by-step explanation:

2/5 [tex]\geq[/tex] x - 4/5

To isolate x, we need to add 4/5 to each side:

6/5 [tex]\geq[/tex] x is what we get

We can simplify it to:

1 1/5 [tex]\geq[/tex] x

Add 4/5 to both sides

X <= 6/5

X <= 1 1/5

Answer:

3t+11

Step-by-step explanation:

A pentagon has 5 sides

Perimeter is the total measurement around an object=20t+7

we have not been given the 5th side measurement so lets make it x

6t +2t+4t-5+5t+1+x=20t+7

put the liketerm together i e

6t+2t+4t+5t-20t+x=7+5-1

17t-20t+x=11

-3t+x=11

x=11+3t.

So the measurements of the fifth side is 11+3t same as 3t+11

Step-by-step explanation:

Answer:

15

17

Step-by-step explanation:

x/5=3 ⇒ x=5*3=15

x/2=8.5 ⇒ x= 2*8.5=17

Answer:

2.45*10^-3

Step-by-step explanation:

The number 0.00245 expressed in standard form is; 2.45 × 10-³.

While expressing numbers in standard form;

We must ensure that only one significant digit appears before the decimal point.

The 10-³ term accounts for the shift of the decimal rightward in a bid to arrive at the first significant digit.

Read more:

https://brainly.com/question/11288844

Answer:

d = [tex]\frac{2S-2an}{n(n-1)}[/tex]

Step-by-step explanation:

Given

S = [tex]\frac{n}{2}[/tex] [ 2a + (n - 1)d ]

Multiply both sides by 2 to clear the fraction

2S = n [ 2a + (n - 1)d ] ← distribute the bracket by n

2S = 2an + n(n - 1)d ( subtract 2an from both sides )

2S - 2an = n(n - 1)d ← divide both sides by n(n - 1)

[tex]\frac{2S-2an}{n(n-1)}[/tex] = d

Answer:

Hope this helps:)

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