If y varies directly as x, and y= 2 when x = 3, find y when x = 1.
a. y = 2x; y(1)=2
C.
b.
3
A
B
C
D
(1)
2
d.
4
3; P(1) - 4
3
-
2
y = x; y(1) -
3
Please select the best answer from the choices provided
2/
3

The correct way to calculate the percent change between the original value of $750 and the new value of $1,000 is option C.

C. (1,000 - 750)/750 = 250/750 = 1/3 ≈ 0.3333 = 33.33%

Therefore, the correct answer is option C, which represents a percent change of approximately 33.33%.

The tangents of the acute angles in the right triangle gives:

tan(G) = 2

tan(H) = 1/2

It should be noted that tangent is the ratio of opposite over adjacent. Thus:

tan(angle) = opposite/adjacent

So for reference angle G, we say,

tan(G) = JH/GJ = 2/1 = 2

We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)

So we have this interesting property where

tan(G)*tan(H) = 2*(1/2) = 1

In general,

tan(A)*tan(B) = 1 if and only if A + B = 90 degrees

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The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.

Note: Assuming angle 1 is equal to 60 degrees.

In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:

m∠1 ≅ m∠3 = 60°.

Based on the linear pair postulate, the measure of angle 2 can be determined as follows;

m∠1 + m∠2 = 180°

60° + m∠2 = 180°

m∠2 = 180° - 60°

m∠2 = 120°

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Answer:

1/5

Step-by-step explanation:

because 9 divided by 9 is 1, and that means you must divide the denominator to, so 45 divided by 5, thus, you have 1/5

Answer:

basBdiqdia

Step-by-step explanation:

Answer:

$762.86

Step-by-step explanation:

$435.92/4 = $108.98

$108.98 · 7 = $762.86

Answer:

1. 72 \(\frac{5}{11}\)

3. 79 \(\frac{5}{6}\)

Step-by-step explanation:

The mean is found by dividing the sum of the inputs by the total number of inputs.

Answer:

enjoy your day hope the answer comes to you

Step-by-step explanation:

A person who has owned a Roth IRA for five years may withdraw money from the account to buy their first home. The individual has to meet certain requirements and can't withdraw more than $10,000 per person.

A Roth IRA is a type of individual retirement account that allows for tax-free withdrawals of contributions at any time, without penalty or taxes. After five years of ownership, a person who has a Roth IRA may withdraw money from the account to buy their first home. This withdrawal is known as a "first-time homebuyer distribution."

However, there are certain rules and limitations to be aware of when withdrawing money from a Roth IRA for a first home purchase. The individual must be a first-time homebuyer, defined as someone who has not owned a home in the past two years. Additionally, the maximum amount that can be withdrawn for a first home purchase is $10,000 per person.

It's important to note that while contributions to a Roth IRA can be withdrawn tax-free and without penalty, earnings on those contributions may be subject to taxes and penalties if withdrawn before age 59 and a half.

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Answer:

False

Step-by-step explanation:

This is false although most prime numbers are not divisible two, but there is one exception to this... the number 2! The number 2 is prime and is divisible by 2. All other prime numbers cannot be divisible by 2 otherwise they would not be prime as prime numbers are only divisible by 1 and the number it self (this excludes 1).

Answer:

2\(\sqrt{2}\)

Step-by-step explanation:

A 45-90-45 triangle will have two equivalent side lengths and the hypotenuse. The hypotenuse is 4 and one of the side lengths is x. Since one of the side lengths is x, the other side length is x as well. Using the Pythagorean theorem, you can create this equation:

x^2 + x^2 = 4^2

or

2x^2 = 16

Now do the algebra:

2x^2 = 16

x^2 = 8

x = \sqrt{8\\}

which can be simplified as 2\(\sqrt{2}\)

Answer: C. Wave X, Wave W, Wave Y, Wave Z.

The option that ranks the time it will take one wavelength to pass a certain point from fastest to slowest is Wave X → Wave W → Wave Y → Wave Z.

The speed at which sound waves will pass through a medium depends on the temperature of that medium.

The higher the temperature of a medium, the faster sound waves will pass through. This is why Wave X will pass through the fastest at 33°C while Wave W will pass through the second fastest at 15°C and so on.

In conclusion, option C is correct.

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Answer:

i think it is A

Step-by-step explanation:

A. No solutions

When working with a system of equations, the solutions are wherever the lines intersect.

Slope

To find the intersection, we can use the slopes. To find the slopes we first need to write the first equation (-6x + y = 6) in slope-intercept form.

To find the new equation add -6x to both sides

Using this information we can see that the slopes of both lines are the same; however, the y-intercepts are different. This means that the lines are different, parallel lines. Remember that parallel lines never intersect. Since these lines will never intersect, there must be no solutions.

Graph

Another way to find the solution is by looking at the lines you are given. However, it is important to understand that this is less accurate than the method above because it is possible that the lines could intersect outside of the range of the graph.

By looking at the graph we can see that the lines never intersect; additionally, the lines appear parallel. So, if you cannot use the method above, this is a good way to make an educated guess.

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=3 \end{cases}\implies V=\pi (5)^2(3)\implies V\approx 236~ft^3\)

Answer:

236 ft^3

Step-by-step explanation:

Base radius = 5 ft

Height = 3 ft

Volume =   πr^2h

              =  π × 5^2 × 3

              =  75π

               =  235.61944901923 feet^3

Nearest Cubic Foot = 236 ft^3

Nearest Cubic Foot:

Hence Answer is:

236 ft^3

Hope this helps!

Answer:

The answer to your question is the third one

Step-by-step explanation:

The first graph is the graph of a

The second graph is of a rational function

The third one is of an exponential function

vasta third one dzuh

Any graph that looks like the above (big on the left and crawling along the x-axis on the right) displays exponential decay, rather than exponential growth. For a graph to display exponential decay, either the exponent is "negative" or else the base is between 0 and 1.

Answer:

28.8

Step-by-step explanation:

the original is 45=100%

it reduced by 36% meaning;100%-36%=64%

if45=100%

? =64%

45*64=2880/100=28.8

Answer:

1) 13 and 31, 17 and 71, 79 and 97

2)a. 7 × 20 = 5(20) + 2(20)

b. 7 × 25 = 5(25) + 2(25)

c. 72 × 7 = (80 - 8)(10 - 3)

d. 78 × 11 = (80 - 2)(10 + 1)

3) 102 is divisible by 3 and 6, but not by 18.

4) Sum of factors of

18: 1 + 2 + 3 + 6 + 9 = 21

20: 1 + 2 + 4 + 5 + 10 = 22

24: 1 + 2 + 3 + 4 + 6 + 8 + 12 = 36

30: 1 + 2 + 3 + 5 + 6 + 10 + 15 = 42

36: 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 = 55

18, 20, 24, 30, and 36 are abundant

numbers.

5) 65 = 7² + 4² = 8² + 1²

85 = 7² + 6² = 9² + 2²

6) a. 73 = 4³ + 2³ + 1³ = 64 + 8 + 1

b. 92 = 4³ + 3³ + 1³ = 64 + 27 + 1

c. 99 = 4³ + 3³ + 2³ = 64 + 27 + 8

7) a. 1³ + 2³ = (1 + 2)²

b. 1³ + 2³ + 3³ = (1 + 2 + 3)²

Answer:

The answer is 0.54

Step-by-step explanation:

Multiply  1.8  by  0.3 .

Hoped this helped!

Brainly, Please?

The proposed skyscraper is 172.8 m tall

From the question, we are to determine the how tall the proposed skyscraper is in meters

From the given information,

The scale of the model is

1 in : 7.2 m

and

The model is 2 ft tall

First, convert 2 ft to inches

NOTE: 1 foot = 12 inches

∴ 2 feet = 2 × 12 inches

= 24 inches

Now,

If 1 inch represents 7.2 m

Then,

24 inches will represent 24 × 7.2 m

24 × 7.2 m = 172.8 m

Hence, the proposed skyscraper is 172.8 m tall

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Answer:

f(x) = 2x is a linear function

g(x) is an exponential function

Step-by-step explanation:

Attached is a screenshot of the graph of both functions.

To start with, I did the necessary calculations to find the range for the function, f(x) = 2x (also one of the attachments in this post). The table lists the values of each output for the given domain, {0,1,2,3,4}.

Then, I graphed the given relation for the g(x): {(0,0),(1,1),(2,4),(3,9),(4,16)}.

In comparing both functions, it is evident that the graph of f(x) = 2x is a linear function, while the graph of g(x) is an exponential function.

Answer:

-1.2,-0.8,1/4,0.5

Step-by-step explanation:

hope this helps :D

Answer:

f(x) = -1/4(x - 0)^2 - 2

Step-by-step explanation:

vertex form:

f(x) = a(x - h)^2 + k

1) put the vertex in the equation, ( (h, k) is the vertex)

f(x) = a(x - 0)^2 - 2

2) plug in the point (8, -18) to find the value of a

-18 = a(8 - 0)^2 - 2

-18 = a(64) - 2

-16 = a(64)

-16/64 = a

-1/4 = a

3) plug in the value of a into the equation

f(x) = -1/4(x - 0)^2 - 2

Answer:

Step-by-step explanation:

it is my first time doing dis so it is 12.

Answer: 14

Step-by-step explanation:

you would write 2/3 X 21/1 and you would multiply 21 X 2 which is 42 divide that by 3 and you get 14

Answer:

$12

Step-by-step explanation:

I hope this helps. Have a great day!

Answer:

$31.80

Step-by-step explanation:

first convert 6% into a decimal which is 0.06. then multiply 30 by 0.06 to get 6% of 30 which is 1.80. then add 1.80 to 30 to get your final cost of 31.80

\(30*0.06=1.80\)

\(30+1.80=31.80\)

final cost: $31.80

Hope this helps!

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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