Identify whether the relationship between a and b in the image below is complementary, or linear pair/supplementary.

I’m thinking it’s complementary?

Answer:

x < 6

Step-by-step explanation:

\(\frac{x}{3}+4 < 6\)

Subtract 4 form both sides

\(\frac{x}{3}<6-4\\\\\frac{x}{3}<2\)

Multiply both sides by 3

\(x < 2*3\\\\x < 6\)

Answer:

X = 5.9- meaning 5.9 or anything under that or lets just say 5 because 5/3 = 1.6 + 4 = 5.6

Step-by-step explanation:

Have a nice day

sorry if its wrong

Answer:

9

Step-by-step explanation:

It is the greatest exponent.

Answer: B. (60 x 5) + (2 x 5)

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

6 pm NYC is 3 pm in LA

Step-by-step explanation:

LA is 3 hours behind NYC

So 6 pm NYC is 3 pm in LA

Answer:

see below

Step-by-step explanation:

$178 x .05 = $8.90 discount nearest hundredth

$178 - $8.90 = $169.10 sale price nearest hundredth

Midpoint is (5, 4)

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The lateral surface area of the rectangular prism given in the picture is 36 cm ²

The lateral surface area of a rectangular prism can be found by the formula :

= 2 x height x ( Length + Breadth )

Height = 2 cm

Length = 3 cm

Breadth = 6 cm

The lateral surface area is therefore:

= 2 x 2  x ( 3 + 6 )

= 4 x 9

= 36 cm ²

In conclusion, the lateral surface area is 36 cm ².

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Answer:

4

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

It can't be 6 or 5 because 20 isn't divisible by 6 and 36 isn't divisible by 5

The structure indicated by: 10a, 15t, 3g, 7c? is a structure related to the composition of a DNA or RNA sequence.

The given information "10a, 15t, 3g, 7c" suggests a pattern or structure related to the composition of a DNA or RNA sequence.

In molecular biology, DNA and RNA are made up of nucleotides, which consist of a nitrogenous base (adenine, thymine/uracil, guanine, or cytosine) and a sugar-phosphate backbone.

Based on the provided data, it appears that the numbers preceding each letter indicate the count or frequency of that particular nucleotide in the sequence.

Therefore, the structure indicated by "10a, 15t, 3g, 7c" implies the composition of a DNA or RNA sequence with the following nucleotide counts:

10 adenine (A) nucleotides (abbreviated as 10a)

15 thymine (T) nucleotides (abbreviated as 15t)

3 guanine (G) nucleotides (abbreviated as 3g)

7 cytosine (C) nucleotides (abbreviated as 7c)

Together, these nucleotides make up a portion of the DNA or RNA sequence, indicating the presence and quantity of each base in that particular section.

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Answer:

D

Step-by-step explanation:

You already had (6v + 1)  You take the 5\(v^{2}\) -6 and pull that out.

Answer:

? =8.77

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite side/ hypotenuse

sin 20 = 3 / ?

? = 3/ sin 20

? = 8.7714132

To the nearest hundredth

? =8.77

Answer:

Podemos ver que las dos líneas nunca se intersectan, lo que significa que Gumby y Pokey nunca pesarán lo mismo.

Step-by-step explanation:

Para resolver este problema, podemos plantear una ecuación que iguale el peso de Gumby (G) y Pokey (P) en función de los años (a):

G = 2 + 0.5a

P = 4 + 0.5a

Queremos encontrar el valor de "a" cuando G = P. Podemos igualar las dos ecuaciones:

2 + 0.5a = 4 + 0.5a

Restando 0.5a de ambos lados, obtenemos:

2 = 4

Esto es imposible, lo que significa que Gumby y Pokey nunca pesarán lo mismo si siguen ganando peso a la misma tasa.

Answer:

what do you need help with

Answer:

a. 26 ft

Step-by-step explanation:

When triangles are similar their sides are proportional

4/8 = h/(44+8)

1/2(52) = h

h = 26

Answer:

4096

GP = {8 , 16 , 32 , 64 , 128 , 256 , 512 , 1024 , 2048 , 4096...} Therefore , the 10th term of the sequence is 4096.

I hope it help you

The required 10th term of the geometric sequence 8, -16, 32 is -4,096.

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

To find the 10th term of the geometric sequence 8, -16, 32, we first need to determine the common ratio (r) between consecutive terms.

r = (second term) / (first term) = (-16) / 8 = -2

So the common ratio is -2.

The nth term of a geometric sequence is given by the formula:

\(a_n = a_1 * r^{(n-1)}\)

where \(a_n\) is the nth term, \(a_1\) is the first term, r is the common ratio, and n is the term number.

To find the 10th term, we plug in a1 = 8, r = -2, and n = 10:

\(a_{10} = 8 * (-2)^{(10-1)}a10 = 8 * (-2)^9a_{10} = 8 * (-512)a_{10} = -4,096\)

Therefore, the 10th term of the geometric sequence 8, -16, 32 is -4,096.

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Answer:

60

Step-by-step explanation:

x = (1/2)(172 - 52)

x = (1/2)(120)

x = 60

Therefore, the correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.

Based on the given information, D represents the null hypothesis (H₀) and E represents the alternative hypothesis (Hₐ).

The null hypothesis (H₀) is a statement that there is no significant difference between the observed data and the expected results. In this case, the null hypothesis is that the population mean (μ) is greater than or equal to 1000.

The alternative hypothesis (Hₐ) is a statement that there is a significant difference between the observed data and the expected results. In this case, the alternative hypothesis is that the population mean (μ) is less than 1000.

Correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.

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Given :-

To Find :-

Solution :

Let ,

→ y = f(x)

So that ,

→ y = 4x - 10/ x -2

→ 0 = 4x - 10/x - 2

→ 4x - 10 = 0

→ 4x = 10

→ x = 10/4

→ x = 5/2

→ x = 2.5

→ y = 4*0 - 10 / 0 -2

→ y = -10/-2

→ y = 5

The algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y). (Option D)

A dilation is a type of transformation that changes the size of the shape or object.  It refers to a process of changing an object’s size by decreasing or increasing its dimensions by a scaling factor. A dilation produces an image that has the same shape as the original image but is a different size.

A dilation that results in a larger image is called an enlargement while a dilation that generates a smaller image is called a reduction. A dilation is described using the scale factor and the center of the dilation (which is a fixed point in the plane).

For a scale factor > 1, the image is an enlargement; for a scale factor < 1 and  > 0, the image is a reduction; and for a scale factor = 1, the figure and the image are congruent. Hence, for a point (x,y), algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y) as the scale factor is greater than 1. For the remaining options, the scale factor is between 0 and 1, hence they are reduction.

Note: The question is incomplete. The complete question probably is: Which of the following algebraic representation shows a dilation that is an enlargement? A) (1/3 x,1/3 y) B) (0.1x, 0.1y) C) (5/6 x,5/6 y) D) (5/2 x,5/2 y)

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The human understanding of the cosmos beyond Earth has grown after inventing specialized equipment such as x-ray telescopes.

X-ray telescope, a device made to find and focus X-rays from sources beyond the atmosphere of Earth.

Some key features regarding the x-ray telescope are-

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The function S maps subsets of X to bit strings of length 3. For each element in X, if it belongs to the subset Y, the corresponding bit in the string is set to 0; otherwise, it is set to 1. The value of S(X) will provide the bit string representation of all elements in X.

Given the set X={a, b, c}, the function S maps subsets of X to bit strings of length 3. Let's determine the value of S(X).

For element a, since a∈X, the corresponding bit s1 is set to 0.

For element b, since b∈X, the corresponding bit s2 is set to 0.

For element c, since c∈X, the corresponding bit s3 is set to 0.

Therefore, the value of S(X) is 0, 0, 0; representing that all elements a, b, and c are present in the set X.

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The angular measure L is : 47°

Angles are formed when two lines meet.

Analysis:

Firstly, we calculate for m using cosine rule.

\(m^{2}\) = \(510^{2}\) + \(820^{2}\) -2(510)(820) cos 20

\(m^{2}\) = 260100 + 672400 -83600(0.9396)

\(m^{2}\) = 146618.56

m = \(\sqrt{146618.56}\) = 382.9cm

using sine rule to find ∠L

382.9/sin20 = 820/sinL

sinL = 820sin20/382.9

sinL = 820(0.342)/382.9

sinL = 0.732

L = sin inverse of 0.732 = 47°

In conclusion, ∠L is 47°

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The longest poster that can fit in the box must have dimensions of 10 inches (height) by 20 inches (length) by 12 inches (width).

To find the longest poster that can fit in the box, we need to determine the longest dimension of the box itself. Since the box is 10 inches high, the longest poster that can fit in the box must have a height of no more than 10 inches.

Now, we need to consider the other two dimensions of the box. The box is 20 inches long and 12 inches wide, so the longest poster that can fit in the box must have a length of no more than 20 inches and a width of no more than 12 inches.

As for why we can only fit one maximum-length poster in the box but we can fit multiple 22-inch posters in the same box, it's because the length and width of the box are larger than the length and width of the 22-inch poster.

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Answer:

15%

Step-by-step explanation:

number 8 is 15% because you divide 42 by 280 the number of people to get the pecent you ha e which is 15%

Answer:

4.5 as a mixed number is 4 1/2

4.5 as an improper fraction is 9/2

Answer:

-7

Step-by-step explanation

Answer:  the slope or gradient of a line is a number that describes both the direction and the steepness of the line. it's just rise over run, if it's 5 high and goes left or right 6 the slope is 5/6

Step-by-step explanation:

Answer:

13) x=n-11

15) x=3*10

Step-by-step explanation:

I used x as the variable. The questions are pretty straightforward. They are asking you to put the terms in the description on the right side of the equation. The questions = x. That was probably confusing, but it is correct. I hope this helped!

Product of 3 and 10 and12

It will take 8 minutes for the cold water faucet to fill the tub by itself.

Let x be the time in minutes that the hot water faucet would take to fill the tub by itself. Then the cold water faucet would take 2x minutes to fill the tub by itself. We can then set up an equation in terms of x:1/x + 1/2x = 1/6Multiplying both sides by 6x gives:6 + 3 = xSimplifying gives:x = 9So the hot water faucet would take 9 minutes to fill the tub by itself. Therefore, the cold water faucet would take twice as long, or 2(9) = 18 minutes to fill the tub by itself.

The problem states that a bathtub can be filled by the cold water faucet twice as long as the hot water faucet. Let's say it takes the hot water faucet "x" amount of time to fill the tub by itself. The cold water faucet would take twice as long, which is "2x".If we add both times together, we get the total time to fill the tub. In this problem, it takes 6 minutes to fill the tub when both faucets are open. Therefore, we can create an equation with this information. We know that the equation for the rate is:rate × time = workWe can also state that the work (filling the tub) is 1, and therefore the equation becomes:1/x + 1/2x = 1/6Multiplying both sides by 6x, we get:6 + 3 = xSimplifying the equation gives us:x = 9Therefore, the hot water faucet takes 9 minutes to fill the tub by itself. We know that the cold water faucet takes twice as long, or 2(9) = 18 minutes to fill the tub by itself.

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