A daycare facility is enclosing a rectangular area along the side of their building for the children to play outdoors. They need to maximize the area using 180ft of fencing on three sides of the yard. The quadratic equation A=−2x2+180x gives the area, A, of the yard for the length, x, of the building that will border the yard. Find the length of the building that should border the yard to maximize the area, and then find the maximum area.

Answer/Step-by-step explanation:

1. <B is an inscribed angle in a circle which intercepts arc AC.

Therefore, m<B = ½ of m<AC

B = ½ * 128° = 64°

x = 180 - (64 + 43)

x = 180 - 107 = 73°

2. The circle given shows two chords intersecting at point H.

According to intersecting chords theorem, the products of the segments formed by one chord equals the product of the segments formed by the other.

Therefore,

[tex] 10*x = 14*5 [/tex]

Solve for x

[tex] 10x = 70 [/tex]

Divide both sides by 10

[tex] x = 7 [/tex]

Answer:

Step-by-step explanation:

9 = m/3 + 4

5 = m/3

m = 15

Answer: m=15

Step-by-step explanation:

[tex]9=\frac{m}{3}+4[/tex]

subtract 4 on both sides

[tex]\frac{m}{3}+4-4=9-4[/tex]

[tex]\frac{m}{3}=5[/tex]

multiply 3 on both sides

[tex]\frac{3m}{3}=5\cdot \:3[/tex]

[tex]m=15[/tex]

Answer:

AA Postulate

Step-by-step explanation:

The bottom lines are parallel. In this case they are also congruent. Combined with the top angle this makes in AA postulate

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

Explanation:

6 in the sample of 50 are infected, so 6/50 = 12/100 = 12% are infected in the sample. We expect this percentage to carry over to the entire population assuming we picked a representative random sample that isn't biased.

12% of 6250 = 0.12*650 = 750 is the expected number of infected individuals in the population.

----------

Here's an alternative way you can solve through a proportion

(number infected)/(total) = (number infected)/(total)

6/50 = x/6250

6*6250 = 50x ... cross multiply

37500 = 50x

50x = 37500

x = 37500/50 ... divide both sides by 50

x = 750

Answer: Hello:

Slope - intercept form is y = mx + b.

Since -1/2 is your slope and 5 is your y - intercept, all you need to do is substitute those values into the equation:

y = -1/2 + 5

Hope this helps!

Answer:

Option B is the correct option.

Step-by-step explanation:

[tex] \mathsf{3(2x - 5)}[/tex]

Distribute 3 through the parentheses

⇒[tex] \mathsf{3 \times 2x - 3 \times 5}[/tex]

Calculate the product

⇒[tex]6x - 15[/tex]

Hope I helped!

Best regards!!

Hey there! I'm happy to help!

First we multiply the the length of each length of rope by the number of lengths of rope (try saying that five times fast).

6 3/4×13=87 3/4

Now, we divide this by 20 to see how much rope each person gets.

87 3/4÷20= 4 31/80

Therefore, each person has 4 31/80 or 4.3875 meters of rope.

I hope that this helps! Have a wonderful day! :D

Answer:

what are the items

Step-by-step explanation:

Answer:

-3x³ + 6x² + 36x

Step-by-step explanation:

3x(-x² + 2x + 12)

3x*-x² + 3x*2x + 3x*12)

-3x³ +6x² + 36x

Answer:

I think its C because if I remember correctly zero of the function is just the x intercept

Answer:

-4

Step-by-step explanation:

f(-1) = 2(-1) - 2 = -4

Answer:

The correct option is;

(Choice C) Both angle measures and segment lengths

Step-by-step explanation:

The given transformations are;

The reflection over the line, [tex]\overleftrightarrow{PQ}[/tex], with, A rotation about the point P. Another reflection over [tex]\overleftrightarrow{PQ}[/tex]. A rotation about the point Q, we have;

The transformations involve changes only in the orientation and location of the pre-image, which remain rigid, therefore, there are no changes in the segment lengths or angle dimensions

Therefore, the correct option is,  both angle measures and segment lengths.

(Choice C) C Both angle measures and segment lengths

Answer:

-k² - (7k - 5n) + 9n

-(-1)² - [7(-1) - 5(-2)] + 9(-2)

-1 - [-7 - (-10)] - 18

-1 - 3 - 18

= -22

Answer:

180

Step-by-step explanation:

1) 600 % 100 = 6 (to get 1% of 600)

2) 6 x 5 = 30 (to get 5% pf 600)

3) 30 x 6 =180 (to get the amount of profit per the 6 years)

please give brainliest if this helps

Answer:Answer and Explanation:

When a number is said to be 'to the fourth power,' that just means that you need to multiply the number by itself four times. For example, 7 to the...

Step-by-step explanation:

Answer: I know this is a bit late but for anyone looking the answer to this question, i got it right here :D.

Step-by-step explanation: I guessed and got it correct.

The graph representing Sondra's weekly earnings is plotted and attached.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is Sondra receives an allowance of $10 per week, plus an additional $5 for each chore she completes.

Assume that her weekly earnings is $y. Assume she does [x] extra chores in a week. Then, we can model her earnings by the equation -

y = 5x + 10.

Refer to the graph attached.

Therefore, the graph representing Sondra's weekly earnings is plotted and attached.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

Answer:

6/6.71

Step-by-step explanation:

If you are given a 6-meter pole that is supported by guy wires that are anchored to the ground, you can create a relationship with respect to sin theta. sin theta is equal to the 6 meters over the slant line supported by the pole. as shown.  

Answer:

2p + 12

2 (p = +6) + 12 = 20

Answer:

I think its 6

Step-by-step explanation:

because you have to add 9 and 3 together then you get 12 and you have to divide 2p with 12 and you'll get 6

Work Shown:

1 pound = 16 ounces

100/16 = 6.25

100 ounces = 6.25 pounds

100 ounces = 6 pounds + 0.25 pounds

-------

1 pound = 16 ounces

0.25*1 pound = 0.25*16 ounces

0.25 pounds = 4 ounces

------

100 ounces = 6 pounds + 0.25 pounds

100 ounces = 6 pounds + 4 ounces

100 ounces = 6 pounds, 4 ounces

Answer:

When x = -4 and y = -6, p = 37.75

Step-by-step explanation:

Given that p = x² - y²/x² + x·y, we have;

p = (x² × x² -y² + x·y×x²)/x²

p = (x²⁺² - y² + x¹⁺² × y)/x²

p = (x⁴ - y² + x³·y)/x²

Therefore, p in the simplest form is given as follows;

[tex]p = \dfrac{x^4 - y^2 + x^3 \cdot y }{x^2}[/tex]

To find the value of p when x = -4 and y = -6, we plug in the value of x and y into the above equation to get the following equation;

[tex]p = \dfrac{(-4)^4 - (-6)^2 + (-4)^3 \cdot (-6) }{(-4)^2} = 37.75[/tex]

Therefore, the value of p when x = -4 and y = -6 is equal to 37.75.

Answer:

Variable terms:

x and y

Constant terms:

7 and -9

Coefficient terms:

-5.6 and 24

Answer: 30 degrees

Step-by-step explanation:

1 hour = 60 min = 360 degree

1 min = 360/60 degree

1 min = 6 degree

and the gap of hour hand and minute hand at 1pm, is of 5 min

therefore acute angle formed is 5 X 6 = 30 degrees.

:-)

Answer:

30 degrees

Step-by-step explanation:

1 hour = 60 min = 360 degree

1 min = 360/60 degree

1 min = 6 degree

and the gap of hour hand and minute hand at 1pm, is of 5 min

therefore acute angle formed is 5 X 6 = 30 degrees.

Answer:

100 degrees

Step-by-step explanation:

Answer:

Hill 1: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2: F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 3: F(x) = 4(x - 2)(x + 5)

Step-by-step explanation:

Hill 1

You must go up and down to make a peak, so your function must cross the x-axis six times. You need six zeros.

Also, the end behaviour must have F(x) ⟶ -∞ as x ⟶ -∞ and F(x) ⟶ -∞ as x⟶ ∞. You need a negative sign in front of the binomials.

One possibility is

F(x)  = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)

Hill 2

Multiplying the polynomial by -½ makes the slopes shallower. You must multiply by -2 to make them steeper. Of course, flipping the hills converts them into valleys.

Adding 3 to a function shifts it up three units. To shift it three units to the right, you must subtract 3 from each value of x.

The transformed function should be

F(x)  = -2(x +1)(x)(x -2)(x -3)(x - 6)(x - 7)

Hill 3

To make a shallow parabola, you must divide it by a number. The factor should be ¼, not 4.

The zeroes of your picture run from -4 to +7.

One of the zeros of your parabola is +5 (2 less than 7).

Rather than put the other zero at ½, I would put it at (2 more than -4) to make the parabola cover the picture more evenly.

The function could be

F(x) = ¼(x - 2)(x + 5).

In the image below, Hill 1 is red, Hill 2 is blue, and Hill 3 is the shallow black parabola.

Answer:

            [tex]\bold{f(x)\cdot g(x)=\big x^\frac52-3\big x^\frac32-18\big x^\frac12}[/tex]

Step-by-step explanation:

[tex]f(x)=x-6\ ,\qquad g(x)=\big x^\frac12(x+3)\\\\\\f(x)\cdot g(x)=(x-6)\cdot\big x^\frac12(x+3)=\big x^\frac12(x^2-3x-18)=\big x^\frac52-3\big x^\frac32-18\big x^\frac12[/tex]

Answer:

48

Step-by-step explanation:

52-4=48

hope this helps

Answer:

The mother (Rhoda) is 46 years old.

The daughter (Tenica) is 18 years old

Step-by-step explanation:

Let the age of the mother (Rhoda) be m

Let the age of the daughter (Tenica) be d.

The sum of Rhonda and her daughter Tenica’s age is 64. This can be written as:

m + d = 64 ... (1)

The difference in their ages is 28. This can be written as:

m – d = 28 ... (2)

From the above illustrations, the equation obtained are:

m + d = 64 ... (1)

m – d = 28 ... (2)

Solving by elimination method:

Add equation 1 and 2 together

. m + d = 64

+ m – d = 28

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2m = 92

Divide both side by 2

m = 92/2

m = 46

Substitute the value of m into any of the equation to obtain the value of d. Here, we shall use equation 1

m + d = 64

m = 46

46 + d = 64

Collect like terms

d = 64 – 46

d = 18

Therefore, the mother (Rhoda) is 46 years old and the daughter (Tenica) is 18 years old.

Answer:

The answer is C.

Step-by-step explanation:

First, you want to isolate the variable you are look for, 'l'. First subtract [pi]L from both sides. Then subtract S from both sides.

-[pi]L+S=[pi]r(superscript)2 ->

-[pi]L=[pi]r(superscript)2-S

Now, since you have your variable 'l', you want to remove the [pi] away from your variable. To do this, multiply by negative 1 divided by pi, or -1/[pi].

L=S-r(superscript)2.

Therefore, the answer is C.

Answer:

C

Step-by-step explanation:

[tex]s = \pi .l \: + \pi. {r}^{2} [/tex]

Make the term including 'l' stand alone.

[tex]s - \pi. {r }^{2} = \pi.l[/tex]

Now make L stand alone by dividing through by pi.

[tex] \frac{s - \pi. {r}^{2} }{\pi} = l[/tex]

This is the same as

[tex] \frac{s}{\pi} - {r}^{2} = l[/tex]

Answer:

the mode would be 24

Step-by-step explanation:

it is what numbers appears most often

Answer:

Step-by-step explanation:

Let the price of the item = Rs x

13% of x = 390

[tex]\frac{13}{100}*x=390\\\\\\x = 390*\frac{100}{13}\\\\\\[/tex]

x = Rs. 3000