Find the perimeter and area of the following figure.
10 ft
5 ft
8 ft
3 ft

Answer:

where is the figure

pls send it

Answer:

Step-by-step explanation:

focus (1 , -7)  ⇒ a = 1  & b = -7

y = 1 ⇒ c = 1

Equation of parabola :

(x - a)² + (y - b)² = (y - c)²

(X - 1)² + (y + 7)² = (y - 1)²

Now, expand.

x² - 2x + 1 + y² + 2*7*y + 7² = y² - 2*y*1 + 1

x² - 2x + 1 + y² - 14y + 49 = y² - 2y +1

x² - 2x + 1 + y² - 14y +  49  - y² + 2y - 1 = 0

x² - 2x  + y² - y²   - 14y + 2y   + 1 + 49 - 1 = 0

x² - 2x  - 12y + 49 = 0

Answer:

[tex]u^2+3u+9[/tex]

Step-by-step explanation:

The way to remember it, is like the square of a binomial, but all coefficients are 1.

So it's the square of the first term. The cross product. The square of the second. And you take only one of them.

In our situation is [tex]u^2+3u+9[/tex]

If you want a way to find it, the way you think is it. It's a second degree polynomial, so [tex]au^2+bu+c[/tex]. Then you multiply the terms together, and you have to get terms removing in a way that you're left with just [tex]u^3-27[/tex]. With some number crunching you'll end up with [tex]a=1; b=3, c=9[/tex]

Answer:

  6x² -36x +48

Step-by-step explanation:

The terms in one factor are each multiplied by the terms in the other factor. The resulting partial products are then combined. (This works the same as for numerical "long" multiplication.)

  (2x -8)(3x -6) = 2x(3x -6) -8(3x -6)

  = 6x² -12x -24x +48 . . . . . . . form partial products

  = 6x² -36x +48 . . . . . . . collect terms

Answer:

6x² - 36x + 48

Step-by-step explanation:

(2x-8)*(3x-6) = 2x*3x + 2x* -6 + -8*3x + -8*-6

6x² - 12x - 24x + 48

6x² - 36x + 48 [Answer]

PLEASE RATE!! I hope this helps!!

if you have any questions comment below!!

(I have verified my answer using an online calculator)

This is the same as saying 0.2659 < p < 0.4541

=========================================================

Work Shown:

At 95% confidence, the z critical value is about z = 1.96 which is determined through a table or calculator.

x = number of people who had kids = 36

n = sample size = 100

phat = sample proportion of those who had kids

phat = x/n

phat = 36/100

phat = 0.36

E = margin of error

E = z*sqrt(phat*(1-phat)/n)

E = 1.96*sqrt(0.36*(1-0.36)/100)

E = 0.09408

This value of E is approximate because z = 1.96 is approximate.

-------------

L = lower bound

L = phat - E

L = 0.36 - 0.09408

L = 0.26592

L = 0.2659

U = upper bound

U = phat + E

U = 0.36 + 0.09408

U = 0.45408

U = 0.4541

The values of L and U are approximate since E is approximate.

-------------

The confidence interval in the format (L, U) is (0.2659, 0.4541)

This is equivalent to writing 0.2659 < p < 0.4541

which is the format L < p < U

We're 95% confident that the true population proportion (p) is somewhere between 0.2659 and 0.4541; i.e. we're 95% confident the true percentage of people who had kids is somewhere between 26.59% and 45.41%

Answer:

A. The solution is the region where both shaded parts overlap.

Step-by-step explanation:

The solution to a system of linear inequalities is the intersection region of the solution of both inequalities. Or you could also say that it's the region where the graphs of the inequalities in the system overlap.

The shaded area represents the solution and where the two inequalities overlap.

[tex]a)\\\\(x+2)(x+5)\\\\=x(x+5) + 2(x+5)\\\\=x^2+5x+2x+10\\\\=x^2+7x+10\\\\\\b)\\\\(x+2)(x-3)\\\\=x(x-3)+2(x-3)\\\\=x^2-3x+2x-6\\\\=x^2-x-6[/tex]

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

1a) (x + 2)(x + 5)

⇒ (x × x) + (5 × x) + (2 × x) + (2 × 5)

⇒ (x²) + (5x) + (2x) + (10)

⇒ (x²) + (5 + 2)x + (10)

⇒ (x²) + (7)x + (10)

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

1b) (x + 2)(x - 3)

⇒ (x × x) + (-3 × x) + (2 × x) + (2 × -3)

⇒ (x²) + (-3x) + (2x) + (-6)

⇒ (x²) + (-3 + 2)x + (-6)

⇒ x² + (-1)x - 6 = x² - x - 6

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Answer:

2.25 tablespoons of oregano

Step-by-step explanation:

as Diego use 3x more than Tracy, and you know that Tracy use 0.75 tablespoon, so 0.75 x 3 and you will get 2.25

Using the binomial distribution, it is found that there is a 0.0058 = 0.58% probability that the sample contains exactly two defective parts.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem, we want P(X = 2) with p = 0.025, n = 5, hence:

[tex]P(X = 2) = C_{5,2}.(0.025)^{2}.(0.975)^{3} = 0.0058[/tex]

There is a 0.0058 = 0.58% probability that the sample contains exactly two defective parts.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

$8,552.07

Step-by-step explanation:

The final balance is $8,552.07

The total compound interest is $2,052.07

Answer:

I believe your answer is A

Step-by-step explanation:

Rise is over run, the run (x) is increasing by five but, the rise (y) is decreasing by 8 so the answer would be -8/5

Hope this helps! :)

For a monthly sales figures at 5600 and expected to fall for the following 9 months at a rate of 2% each month, the  total sales for the next two years  is mathematically given as

A=11968.04

Generally,  the  total sales  is mathematically given as

A=5600(1-2/100)^9(1+4/100)^24

A=5600(.98)^9(1.04)^24

A=11968.04

In conclusion, total sales for the next two years

A=11968.04

Read more about Arithmetic

https://brainly.com/question/22568180

Answer:

C

Step-by-step explanation:

Answer:

12 cm

Explanation:

The formula or method to find the area of any shape is to go around the shape.

In this case, they are 3, 4 and 5.

p = 3 + 4 + 5

p = 12 cm

Answer:

Sample 1

Step-by-step explanation:

Volume of the cone = 1/3 x base area x height

so

V = 1/3 x pi x r² x h = 1/3 x pi x 2² x 6 = 8 x pi

Answer:

height of tree is 80 feet.

Step-by-step explanation:

Given:-

To find :-

Solution:-

In the given figure we can see that AB is perpendicular , BC is base and AC is hypotenuse.

We know ,

tan 58° = AB/BC

1.6 = AB/50 feet

(Cross Multiplication)

80 feet :- AB

Note:- Figure is in attachment and is a rough work.

Given the current yield to maturity of the bond, the price of the bond five years for now is $883.10.

The first step is to determine the yield to maturity of the bond. The yield to maturity is the return on the bond if the bond is held to matuity.

Yield to matuity can be determined using a financial calculator:

Cash flow in year 0 = -875

Cash flow each year from year 1 to 25 = 85

Cash flow in year 25 = $1000

Yield to matuity = 9.86%

Future price of the bond: (coupon x future price factor) + [FV / (1 + YTM)^n)]

Future price factor = [1 - (1/YTM)^n] / YTM

= [1 - 1/0.0986^20] 0.0986 = 8.595555

[85 x 8.595555 ] + 152.478323 = $883.10

To learn more about yield to maturity, please check: https://brainly.com/question/26484024

Total left

Answer:

[tex]4\:\dfrac{2}{4}[/tex]

Step-by-step explanation:

Add the amounts of each pie left :

[tex]2 \frac{1}{4}+\dfrac{2}{4}+1 \frac{3}{4}[/tex]

Separate the whole numbers and the fractions:

[tex]\implies 2+ \dfrac{1}{4}+\dfrac{2}{4}+1+\dfrac{3}{4}[/tex]

Add the whole numbers and fractions separately:

[tex]\implies 2+1+\dfrac{1}{4}+\dfrac{2}{4}+\dfrac{3}{4}[/tex]

[tex]\implies 3+\dfrac{6}{4}[/tex]

Convert 6/4 into a mixed number:

[tex]\implies 3+1\frac{2}{4}[/tex]

Add the whole numbers:

[tex]\implies 4\frac{2}{4}[/tex]