Natasha uses 2.5 feet of twine to tie campfire wood into bundles. The proportional relationship between the number of bundles, x, and the amount of twine, y, in feet she uses is shown in the graph. What does the point (3, 7.5) represent in a graph?

Answer:

d, both

Step-by-step explanation:

both separe two identical halves :)

Both yellow and red lines are lines of symmetry to the given figure, Option D is correct.

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts.

We know that the diameter of a circle is a line passing through its center. So, the diameter acts as a line of symmetry dividing the circle into two parts with equal area.

In the given figure both the lines represents symmetry as both the lines are dividing the figure to two equal parts.

Hence, both yellow and red lines are lines of symmetry to the given figure, Option D is correct.

To learn more on Coordinate system click:

https://brainly.com/question/30241634

#SPJ5

Answer:

[tex]\fbox{\begin{minipage}{10em}Option C is correct\end{minipage}}[/tex]

Explanation:

A circle whose center is [tex](a, b)[/tex] and radius [tex]r[/tex], has equation:

[tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex]

The center of circle is  given as origin [tex](0, 0)[/tex], therefore:

[tex]a = 0\\b = 0[/tex]

This circle passes [tex](3, 0)[/tex], then the radius of circle is the distance [tex](d)[/tex] between origin [tex](0, 0)[/tex] and [tex](3, 0)[/tex]

[tex]d = \sqrt{(0 - 3)^{2} + (0 - 0)^{2} } = \sqrt{3^{2} } = 3[/tex]

=> [tex]r = d = 3[/tex]

Substitute [tex]a[/tex], [tex]b[/tex], and [tex]r[/tex] back into original equation:

[tex](x - 0)^{2} + (y - 0)^{2} = 3^{2}[/tex]

or

[tex]x^{2} + y^{2} = 9[/tex]

Hope this helps!

:)

Answer:

y = - (x + 1)²

Step-by-step explanation:

Vertex form of a parabola is given by,

y = -(x - h)² + k

Where (h, k) is the ordered pair representing vertex.

(-) sign denotes that the parabola is opening downwards.

If the coordinates of the given parabola is (-1, 0)

Equation of the parabola will be,

y = - (x + 1)² + 0

y = - (x + 1)²

Therefore, equation of the parabola will be, y = - (x + 1)²

Answer:

16

Step-by-step explanation:

the two negatives cancel out so if you are subtracting -8 from 8 you would actually end up adding them.

hope it helps!

Answer:

16

Step-by-step explanation:

personally I learned that when I see " -(- " in a equation it just means addition.

Answer:

49 cubed

Step-by-step explanation:

6287-6238

ANSWER: 49 cubed!

Answer:

49 m³

Step-by-step explanation:

Volume used between August and November = 6287 - 6238

= 49 m³

Answer:

A.

Step-by-step explanation:

A. City voters were asked about candidates. That seems to be random.

B. A survey about singers took place at a specific concert. Naturally, the people who are there like this singer. It is not random.

C. Customers were asked about food at a pizza shop. Naturally, they like pizza. This is not random.

D.  An email survey was sent. Mostly people who own computers will respond. This is not random.

Answer: A.

Answer:

a arithmetic; -23

Step-by-step explanation:

this is not geometric sequence as we don't  see multiplication effect in the terms

let's see what is the difference in terms

-207- (-184)= -23

-230- (-207)= -23

-253- (-230)= -23

we can state it is an AP with common difference of  -23

option a. is correct

Answer:

[tex]997.66ft^3[/tex]

Step-by-step explanation:

[tex]V=\frac{3\sqrt{3} }{2} a^2h\\=\frac{3*\sqrt{3} }{2} *4^2*24\\=997.66ft^3[/tex]

Answer:

Step-by-step explanation:

y=2/3 x+7

multiply by 3

3y=2x+21

2x-3y+21=0

or 2x-3y=-21

Answer:

see explanation

Step-by-step explanation:

The length of the arcs are calculated as

arc = circumference of circle × fraction of circle

(13)

arc = 2πr ×[tex]\frac{72}{360}[/tex]

      = 2π × 25 × [tex]\frac{1}{5}[/tex] = 10π units

(14)

arc = 2π × 2 × [tex]\frac{270}{360}[/tex]

      = 4π × [tex]\frac{3}{4}[/tex] = 3π units

Answer:

incorrect: y= -1.5x

correct: The slope is 3.

HOPE I HELPED!!!

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(9-7)/(-6-(-2))

m=2/-4

m=-1/2

Answer:

2/5: 1/3:

6/15 5/15

Step-by-step explanation:

Sorry I couldn't upload a photo for some reason. If you multiply 2/5 by 3 you'll get 6/15, and if you multiply 1/3 by 5 you will get 5/15. I really hope this helps, and yes, I double-checked, it is correct. Have a great day!!!

9) obtuse 10) isosceles

Answer:

d; below; y = −2x + 2

Step-by-step explanation:

the equality  ≤  means left to right that y is equal or less than. We see that 2 is equal or less than 3.

We check the resulting equation also and see that if we +3 it = 1 and if we +2 it equals 0 so we know +2 in answer format can be less than also. But with questions we are measuring the units and +2 is less than +3.

Answer:

B (1,0) hope this helps :)

Answer:

336

Step-by-step explanation:

Given the expansion: [tex](7+4x)^3[/tex]

[tex](7+4x)^3\\\\=(7+4x)^2*(7+4x)\\\\=(7+4x)(16x^2+56x+49)\\\\=7(16x^2+56x+49)+4x(16x^2+56x+49)\\\\=112x^2+392x+343+64x^3+224x^2+196x\\\\=64x^3+112x^2+224x^2+392x+196x+343\\\\=64x^3+336x^2+588x+343[/tex]

Therefore, the coefficient of the second term is 336.

Answer:

Step-by-step explanation:

6n because 6n it's 6 times n

______________________________

Hey!!

Answer: 6n

6n does not represent "the sum of n and 6"

6n represents "the product of n and 6"

Hope it helps..

Good luck on your assignment

___________________________

Answer:

A: 10.8

Step-by-step explanation:

AD = BC

AB = DC

2AD + 2AB

AD = ±[tex]\sqrt{3^2+1^2}[/tex] ≈ ±3.1622

AD ≈ 3.1622

AB = ±[tex]\sqrt{2^2+1^2}[/tex] ≈ ±2.236

AB ≈ 2.236

2AD + 2AB = 2*3.1622 + 2*2.236 ≈ 10.79 ≈ 10.8

Answer:

I think it (B) a rectangle prism not to sure tho

Answer:

f(x)= (x-3)(x-7)

Step-by-step explanation:

Answer:

B) x=8

Step-by-step explanation:

To solve, we must find x like so:

We know that angle AOC = 130, so adding AOB and BOC will equal 130, then we solve for x.

[tex](6x-5)+(8x+23)=130\\6x-5+8x+23=130\\14x+18=130\\14x=130-18\\14x=112\\x=\frac{112}{14}\\x=8[/tex]

Answer:

D

Step-by-step explanation:

sqrt(20*x^6*y^5)

sqrt(5*2*2*x^3*x^3*y^2*y^2*y^1)

2x^3*y^2*sqrt(5y)

this is D

Answer:

A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = -8x^3 - 16x^2 - 4x\\f(x) = \frac{3}{4}x^2 + 2x - 5\\f(x) = \frac{4}{x^2} - \frac{2}{x} + 1\\f(x) = 0x^2 - 9x + 7[/tex]

Required

Which of the above is a quadratic function

A quadratic function has the following form;

[tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]

So, to get a quadratic function from the list of given options, we simply perform a comparative test of each function with the form of a quadratic function

[tex]1.\ f(x) = -8x^3 - 16x^2 - 4x[/tex]

This is not a quadratic function because it follows the form [tex]f(x) = ax^3 + bx^2 + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]

[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]

This function has an exact match with [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]

By comparison; [tex]a = \frac{3}{4}\ b = 2\ and\ c = -5[/tex]

[tex]3.\ f(x) = \frac{4}{x^2} - \frac{2}{x} + 1[/tex]

This is not a quadratic function because it follows the form [tex]f(x) = \frac{a}{x^2} + \frac{b}{x} + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]

[tex]4.\ f(x) = 0x^2 - 9x + 7[/tex]

This is not a quadratic function because it follows the form [tex]f(x) = ax^2 +bx + c = 0\ but\ a = 0[/tex]

Unlike the quadratic function where [tex]a\neq 0[/tex]

So, from the list of given options, only [tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex] satisfies the given condition

Answer:

the length is 98 meters and the width 98 meterss

Step-by-step explanation:

We have that the length is l and the width is w, we know that:

P = 2 * w + 2 * l

if we solve for it, we have:

l = P / 2 - w

Now, we know that the area is:

A = l * w

if we replace l, we are left with:

A = (P / 2 - w) * w

A = P * w / 2 - w ^ 2

we derive to know the maximum area and we equal 0 and we have:

A '= P / 2 - 2 * w

0 = P / 2 - 2 * w

w = P / 4

now for him:

l = P / 2 - P / 4

l = P / 4

Therefore, if we replace:

l = 392/4 = 98

w = 392/4 = 98

For the maximum area the length is 98 meters and the width 98 meterss

Answer:

a) 10.73%

b) 45.60%

c) 0.0094%

d) 54.4%

Step-by-step explanation:

The probability of one transistor being defective is equal the number of defective transistors over the total number of transistors

a)

The probability of the first one being defective is 4/24, and then the probability of the second one being defective is 3/23, because we have one less defective transistor. The probability of the third one being not defective is 20/22, and the fourth one not being defective is 19/21. We also multiply the final probability by a combination of 4 choose 2, because the defective transistors can be any 2 of the group of 4:

C(4,2) = 4! / (2! * 2!) = 6

P = 6 * (4/24) * (3/23) * (20/22) * (19/21) = 0.1073 = 10.73%

b)

Similar to the letter a), we have:

First one not defective: P = 20/24

Second one not defective: P = 19/23

Third one not defective: P = 18/22

Fourth one not defective: P = 17/21

P = (20/24) * (19/23) * (18/22) * (17/21) = 0.4560 = 45.60%

c)

First one defective: P = 4/24

Second one defective: P = 3/23

Third one defective: P = 2/22

Fourth one defective: P = 1/21

P = (4/24) * (3/23) * (2/22) * (1/21) = 0.000094 = 0.0094%

d)

If we want at least 1 defective, we just need to subtract 100% from the case where all 4 are not defective:

P = 1 - 0.4560 = 0.5440 = 54.4%

In this exercise we have to use the knowledge of probability to calculate each of the requested probabilities, so we can say that:

a) [tex]10.73\%[/tex]

b) [tex]45.60\%[/tex]

c) [tex]0.0094\%[/tex]

d) [tex]54.4\%[/tex]

a)The probability of the first one being defective is 4/24, and then the probability of the second one being defective is 3/23, because we have one less defective transistor. So the combination will be:

[tex]C(4,2) = 4! / (2! * 2!) = 6\\P = 6 * (4/24) * (3/23) * (20/22) * (19/21) = 0.1073 = 10.73%[/tex]

b)So find the not defective, we have:

[tex]P = (20/24) * (19/23) * (18/22) * (17/21) = 0.4560 = 45.60%[/tex]

c)So find the defective, we have:

[tex]P = (4/24) * (3/23) * (2/22) * (1/21) = 0.000094 = 0.0094%[/tex]

d)We just need to subtract 100% from the case where all 4 are not defective:

[tex]P = 1 - 0.4560 = 0.5440 = 54.4%[/tex]

See more about probability at brainly.com/question/743546

Answer:

you have the right answer

Step-by-step explanation:

you can check by multiplying 27 and 12. then multiply 20.25 with 16 and both times you will get 324

Answer:

I am sure you're answer is correct!

Step-by-step explanation:

:)

Answer:

[tex]1/9[/tex]

Step-by-step explanation:

when you divide a exponents, you subtract them. 4 - 0 = 4

3 to the power of 4 to the power of 2 = 3 to the power of 8, since exponents multiply.

3 to the power of negative 6 * 3 to the power of 8 = 3 to the power of negative 2, since multiplication adds the exponents when the base is equal.

3 to the power of negative 2 is 1/9

Answer:

7

Step-by-step explanation:

10-3=7