A security camera is set to record the activities in a 115 degrees sector of a parking lot as represented by the shaded region of the circle below. Which measurements is closet to the area of The parking lot recorders by this security camera?

From factoring rules for the difference of squares, it is possible rewrite the equation [tex]16x^4-81[/tex] as (2x-3)(2x+3(4x²+9).

In math, the factoring or factorization is used to write an algebraic expression in factors.

The question gives a polynomial and asks your respective factorization. Note that [tex]16x^4-81[/tex] is a difference of squares. The factoring rules shows that the difference of squares: a² – b² = (a – b)(a + b).

If [tex]16x^4-81[/tex] is a difference of squares. You can rewrite this expression as:

[tex]16x^4-81=(4x^2-9)(4x^2+9)[/tex].

Again, you have another difference of squares: 4x²-9. You can rewrite this expression as: 4x²-9= (2x+3)(2x-3).

Hence, [tex]16x^4-81=(2x-3)(2x+3)(4x+9)[/tex].

Learn more about the factoring here:

brainly.com/question/11579257

Final answer:

The expression 16x^4 − 81 is a difference of squares and can be factored completely into (2x + 3)(2x − 3)(4x^2 + 9).

Explanation:

The student has asked to factor the expression 16x4 − 81 completely. This expression is a difference of squares, where 16x4 is the square of 4x2, and 81 is the square of 9. According to the difference of squares formula, a2 − b2 can be factored into (a + b)(a - b). Therefore, 16x4 − 81 can be factored as:

(4x2 + 9)(4x2 − 9)

Next, observe that 4x2 − 9 is another difference of squares, which can be further factored into (2x + 3)(2x − 3). Combining these factors, we get the completely factored expression:

(2x + 3)(2x − 3)(4x2 + 9)

Answer:

false

Step-by-step explanation:

Answer:

  The mean and mad of this is 75.67(rounded to nearest hundredth) and 17.10 because the deviations are: 42.6, 2.33, 23.33, 11.33, 14.33, 8.67.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

a = 2

b = 8

8 : a + 4 × b

= (8 : 2) + (4 × 8)

= 4 + 32

= 36

Answer:

Step-by-step explanation:

Given two circles A and B

        Circumference of Circle A[tex]=2*21*\pi=42\pi=131.95m[/tex] meters

        Circumference of Circle B[tex]=2*28*\pi=56\pi=175.93m[/tex] meters

The larger the radius of a circle, the larger the circumference. We notice that the radius of circle B is larger so its circumference is also larger.

Answer:

Step-by-step explanation:

Answer:

17.74

Step-by-step explanation:

We know that anything divided by fifty is just two times itself as a decimal.  Thus, [tex]\frac{37}{50}=0.74[/tex].  We can add this to 17 to find that [tex]17+0.74=17.74[/tex].

Answer:

Step-by-step explanation:

hello :

(8c²-2c) + (2c²+3c)= (8c²+3c²)+(3c-2c) =11c²+c .....standard form

Answer:

a) y= 8x+90 b) 154 pounds

Step-by-step explanation:

a) 90 will be the initial value (b) and 8 will be the slope (m)

this gives the linear function :

y = 8x + 90

b) to find his weight after 8 weeks plug in x=8

y= 64+90

y=154

154 pounds

Answer: just an extra one foot

Step-by-step explanation:

Given that the length of the piece of string = 25,000 miles

 Since the string is long enough to exactly circle the globe at the equator over oceans, deserts and jungles. We can say that the string could completely circle a sphere

Assuming that the earth is a perfect sphere.

The circumference of the circle = 25,000 mile.

But note that the circumference of a circle is directly proportional to the radius. If you double the radius, the circumference will also be doubled. Half the circumference, half the radius. Increase the circumference by 30%, radius will also be increased by 30% and so on.

In this question, the radius is being increased by 3 feet, so we need to know that as a fraction of the original radius.

Circumference = 2πr

Let's also convert miles to feet

25000 × 5280 = 2(3.143)r

r = 132 × 10^6/2π

r = 21008452.5 feet

3 feet - that's how far off the ground we're lifting the string out of 21008452.5 feet is close to one part in 25000 miles. The string was 132000000 feet long to start with, so we need just an extra 1 foot.

Answer:

Step-by-step explanation:

[tex]\frac{-5}{4}+\frac{75}{40}+\frac{100}{100}=\frac{-5}{4}+\frac{75}{40}+1\\\\=\frac{-5*10}{4*10}+\frac{75}{40}+\frac{1*40}{1*40}\\\\=\frac{-50}{40}+\frac{75}{40}+\frac{40}{40}\\\\=\frac{-50+75+40}{40}\\\\=\frac{65}{40}\\\\=\frac{13}{8}\\\\=1.625[/tex]

Step-by-step explanation:

Let the required number be x.

[tex] \therefore \: 3x + 6 = 21 \\ [/tex]

Answer:

1284 Eggs

Step-by-step explanation:

To work this out you would first have to know how many days there are in a year, which is 365. Then you would need to add the amount of days in January and February. January has 31 days and February would have 29, and so 29 plus 31 is 60. Then you would add 60 to 365, which is 425. Then you would add 3 to 425, which is 428. Then you would divide 428 by 4, which is 107. Then you would multiply 107 by 12, which is 1284.

1) Find out how many days there are in a year.

There are 365 days in a year

2) Add 31 to 29.

[tex]31+29=60[/tex]

3) Add 60 to 365.

[tex]365+60=425[/tex]

4) Add 3 to 425.

[tex]425+3=428[/tex]

5) Divide 428 by 4.

[tex]428/4=107[/tex]

6) Multiply 107 by 12.

[tex]107*12=1284[/tex]

Answer:

R=3.897

Step-by-step explanation:

Given the magnitude measured by the Ritcher scale is given as;

R = 0.67log(0.37E) + 1.46  where E= is the energy (in kilowatt hours)

If E=1,770,000 then

R= 0.67log(0.37*1770000)

R=0.67log(654900)

R=0.67*5.81617

R=3.897

Final answer:

To determine the magnitude of an earthquake that released 1,770,000 kilowatt hours of energy using the Richter scale formula, the calculated magnitude is approximately 5.51.

Explanation:

The Richter scale is used for measuring the magnitude of an earthquake. Given the Richter magnitude formula

R = 0.67log(0.37E) + 1.46

where E is the energy (in kilowatt hours) released by the earthquake, we can calculate the magnitude of an earthquake that released 1,770,000 kilowatt hours of energy.

First, substitute the given energy value into the formula:

R = 0.67log(0.37*1770000) + 1.46.

Performing the calculation:

0.37 * 1,770,000 = 654,900

log(654,900) = 5.816

R = 0.67 * 5.816 + 1.46

R ≈ 5.51

Therefore, the earthquake's magnitude on the Richter scale is approximately 5.51.

Answer:

-2 1/3

Step-by-step explanation:

First, subtract 7x from both sides to isolate the variable:

7x+7=4x

-7x    -7x

=7=-3x

divide both sides by -3 to find the value of x

Answer:

32.76 ft

Step-by-step explanation:

step 1

Find the perimeter of the rectangular bulletin board

The perimeter of rectangle is given by

[tex]P=2(W+H)[/tex]

where

W is the width

H is the height

we have

[tex]W=7.25\ ft\\H=4.47\ ft[/tex]

substitute

[tex]P=2(7.25+4.47)=23.44\ ft[/tex]

step 2

Subtract the perimeter from the total feet of ribbon

so

[tex]56.20-23.44=32.76\ ft[/tex]

Answer:

y= 90

Step-by-step explanation:

64−(3y+8y+y)÷40=37

Combine terms in the parentheses

64−(12y)÷40=37

Subtract 64 from each side

64-64−(12y)÷40=37-64

-(12y)÷40=-27

Multiply each side by 40

-(12y)÷40*40=-27*40

-12y =-1080

Divide each side by -12

-12y/-12 = -1080/-12

y =90

Answer:

y= 90

Step-by-step explanation:

64−( 3y+8y+y 40 )=37 64+ −3 10 y=37 −3 10 y+64=37

Step 2: Subtract 64 from both sides.

−3 10 y+64−64=37−64 −3 10 y=−27

Step 3: Multiply both sides by 10/(-3).

( 10 −3 )*( −3 10 y)=( 10 −3 )*(−27) y=90

Answer:

Step-by-step explanation:

so you wanna first add the hours

12

then add the number of trees painted in that number of hours

26

do 198 divided by 26

7.62( rounded to the nearest hundredth)

then take that product and multiply it by 12

91( rounded to the nearest one)

tha'ts your answer: 91 days

Answer:

between x=-4 and x=-1 the graph is a straight line so it it linear and the graph is going up and to the right so it is increasing so between x=-4 and x=-1 the graph is linear and increasing

Step-by-step explanation:

Answer:

linear and increasing

Answer:I think freckles are not determined by DNA

Step-by-step explanation:

I have freckles and none of my parents do or ever have had freckles.

Answer:

There are two alleles for freckles

Step-by-step explanation:

100 on edg

Answer:

h(g(n))=4n-9

Step-by-step explanation:

h(g(n))=4*g(n)-5 ( we replace n in the formule of h(n) by g(n).

h(g(n))=4(n-1)-5

h(g(n))=4n-4-5

h(g(n))=4n-9

Hope you understand it

Answer:The answer is; It builds tension in the story:and it introduces the setting.

Step-by-step explanation:

The right answer is of option D.

Look at the attached picture⤴

Hope it will help u...

Answer:

13

Step-by-step explanation:

8 - (-5) = 13

Since x is the same in both points we only have to count the y

Answer:

john gets 274

Step-by-step explanation:

150 divided by 2 = 225

add 50 to johns amount and you get 275

Answer:

250$

Step-by-step explanation:

250-50=200

200+250=450

Answer:

The answer is 12k^5+24k^4+30k^3.

Step-by-step explanation:

You want to multiply the height by width to find area. Multiply 6k^3 times 2k^2+4k+5. 6k^3(2k^2+4k+5)= 12k^5+24k^4+30k^3.

Final answer:

The area of a rectangle with a height of 6k³ and a width of 2k² + 4k + 5 is calculated by multiplying the height by the width, resulting in 12k⁵ + 24k⁴ + 30k³.

Explanation:

To calculate the area of a rectangle, you multiply the height by the width. The given height of the rectangle is 6k³ and the width is 2k² + 4k + 5. Applying the formula for the area of a rectangle, we have:

A = height × width

A = 6k³ × (2k² + 4k + 5)

To find the area, distribute the height into each term of the width:

A = (6k³ × 2k²) + (6k³ × 4k) + (6k³ × 5)

A = 12k⁵ + 24k⁴ + 30k³

The area of the rectangle is 12k⁵ + 24k⁴ + 30k³.

Since there's no diagram. Let us calculate using the values in the attached file to aid the comprehension of what is expected of you.

Answer:

44.657cm^3

Step-by-step explanation:

Please kindly check the attached file for more

Answer:

8π

Step-by-step explanation:

first the equation for a cone is [tex]\pi r^2\frac{h}{3}[/tex]

[tex]V=\pi *3^{2} *\frac{8}{3} \\ =\pi *9*\frac{8}{3} \\ =\frac{72}{3} \pi \\ =24\pi[/tex]

so since Abigail spilled 2/3 of the water then you do

[tex]24\pi * \frac{1}{3}\\ =8\pi[/tex]

so overall the volume of the remaning water is 8π.

Given:

The given geometric series is [tex]2 + 3 + 4.5+ 6.75 + ...[/tex]

We need to determine the value of r and a₁

Value of a₁:

The term a₁ denotes the first term of the geometric series.

Hence, from the given series, the first term of the series is 2.

Thus, a₁ = 2.

Therefore, the value of a₁ is 2.

Value of r:

The term r denotes the common ratio between the terms in the geometric series.

The value of r is given by

[tex]r=\frac{3}{2}=1.5[/tex]

[tex]r=\frac{4.5}{3}=1.5[/tex]

[tex]r=\frac{6.75}{4.5}=1.5[/tex]

Thus, the value of r is 1.5

Answers:

1) 1.5 , 2

2) 0.5 , 8

explanation:

just did this :)

Answer:

The cow's heart beats at 65 beats per minute

Step-by-step explanation:

To solve the per minute, take the total heartbeat number and divide it by the amount of minutes like so:

Pig: [tex]\frac{225}{3}[/tex]

Horse: [tex]\frac{180}{4}[/tex]

Cow: [tex]\frac{520}{8}[/tex]

Dog: [tex]\frac{540}{6}[/tex]

Now all that you have to do is simplify them to get the following values:

Pig: 75 beats per minute

Horse: 45 beats per minute

Cow: 65 beats per minute

Dog: 90 beats per minute