is y=10^2 linear or no linear

Answer:

JGL, LGJ, 2

Step-by-step explanation:

Hey there!

3(4y - 12) = 0

3(4y) + 3(-12) = 0

12y - 36 = 0

Add 36 to both sides

12y - 36 + 36 = 0 + 36

Cancel out: -36 + 36 because it give you 0

Keep: 0 + 36 because it help solve for the equation

New equation: 12y = 0 + 36

Simplify it

12y = 36

DIVIDE 12 to both sides

12y/12 = 36/12

Cancel out: 12/12 because that give you 1

Keep: 36/12 because it give you the y-value (also known as your overall result)

New equation: y = 36/12

Simplify it

y = 3

Therefore, your answer should be:

y = 3

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

When the value of x = 1, the value of y = 729.

An inverse relationship is one where the value of one parameter decreases as the value of the second parameter increases. It is frequently described as a bad relationship.

Now, as per the question.

y varies inversely with the cube of x.

y ∝ 1/x³

Removing inverse, a constant of proportionality will come (say k)

y = k/x³

k = x³y.

When x = 9 then y = 1. Substitute the values and find k.

k = 9³(1)

k = 729

Now, estimate the value of y when x = 1.

y = k/x³ ( put the value of k and x )

y = 729/1³

y = 729

Thus, the value of y when the value of x = 1 is 729.

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Answer:

21 g

Step-by-step explanation:

12g

+ 9g

_____

21g

======

I think this is the answer but i can't confirm because your theory and my theory can be different

(C) 1 mile/0.62 km conversion factor would be most useful in converting miles per gallon to kilometers per liter.

Therefore, (C) 1 mile/0.62 km conversion factor would be most useful in converting miles per gallon to kilometers per liter.

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The complete question is given below:
Which of the following conversion factors would be most useful in converting miles per gallon to kilometers per liter?

A) 1 gallon/4 quarts

B) 1 liter/1000 ml

C) 1 mile/0.62 km

D) 1 000 m/1 km

Answer:

8 < x < 2 has no solution because there is no number greater than 8 (8 < x), yet less than 2 (x < 2). It's impossible, so there is no solution.

If the inequality was something like 8 < x < 10, then it will work because 8 can be less than x and x can be less than 10.

Hope this helps and have a great rest of your day! :)

The total length of red and blue ribbons is 10.2 m.

Given that, the length of the red ribbon =2.4 m and the length of the blue ribbon =7.8 m.

Adding decimals is similar to the usual addition of whole numbers. We know that a decimal number is a number with a whole number part and a fractional part which is separated by a decimal point.

Now, the length of the red ribbon + the length of the blue ribbon=2.4+7.8

=10.2 m

Therefore, the total length of red and blue ribbons is 10.2 m.

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A number raised to a power represents a product where the same number is used as a repeated factor. The number is called the base and the power is given by the exponent. The base is the repeated factor and the exponent counts the number of factors. An exponent is that we are dealing with products and multiplication.

In the expression bn, b is the base and n is the exponent.

The Power Rule for Exponents: (am)n = am*n.

To raise a number with an exponent to a power, multiply the exponent times the power.

Negative Exponent Rule: x–n = 1/xn.

Invert the base to change a negative exponent into a positive.

Zero Exponent Rule: x0 = 1, for .

Any non-zero number raised to the zeroth power is 1.

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Let

S = 1 + 2 + 3 + … + (n - 2) + (n - 1) + n

Reversing the order of terms, we have

S = n + (n - 1) + (n - 2) + … + 3 + 2 + 1

and we observe that terms in the same position on the right side add up to n + 1.

2S = (1 + n) + (2 + (n - 1)) + (3 + (n - 2)) + … + (n + 1)

There are n terms in the sum, so each the right side is simply n copies of n + 1, and

2S = n (n + 1)

S = n (n + 1)/2

Now,

17 + 18 + 19 + … + 41 + 42 + 43

= (1 + 2 + 3 + … + 41 + 42 + 43) - (1 + 2 + 3 + … + 14 + 15 + 16)

= (S with 43 terms) - (S with 16 terms)

= 43 (43 + 1)/2 - 16 (16 + 1)/2

= 810

Answer:

12

Step-by-step explanation:

√144 = 12

Using proportions, it is found that Belinda's map uses a scale of 0.025 inches : 100 feet = 0.00025 inches : 1 feet.

A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.

Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.

Scale problems are solved using proportions. Elvis’s map uses a 1/4 scale of 1 inch to 100 feet, hence:

Belinda's map has the same area, hence they use the same scale, hence she uses a scale of 0.025 inches : 100 feet = 0.00025 inches : 1 feet.

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From the given stem-and-leaf plot, we have that:

a) 80.65% of days in this month were hotter than 100 ºF.

b) The shape of the distribution is negatively skewed.

c) The value of 84, with key 8|4, appears to be an outlier in this data-set.

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

From the plot in this problem, the 31 observations are given as follows:

84, 93, 97, 99, 100, 101, 101, 102, 102, 103, 104, 104, 104, 105, 105, 106, 106, 106, 107, 107, 108, 108, 109, 109, 109, 110, 111, 111, 113, 115.

For item a, we have that of the 31 observations, 25 were hotter than 100 ºF, hence:

25/31 = 80.65%.

80.65% of days in this month were hotter than 100 ºF.

For item b, using a calculator, we have that:

Since the mean is less than the median, the shape of the distribution is negatively skewed.

For item c, we have that:

Outliers are values that are more than 1.5IQR from the quartiles, hence:

84 < 91.5, hence the value of 84, with key 8|4, appears to be an outlier in this data-set.

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The equation would use to determine how long he drove each way is 2x - 8 = 60.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that Lots took one hour to drive from his apartment to Philips arena and back. the return drive took 8 minutes less than the trip to the arena.

Since the return trip took 8 minutes less, the complete equation must be written in minutes.

Here x - 8 represents the time it took to return to Philips Arena.

The total travel time, including both directions, was 60 minutes;

thus, add x and x - 8 and set them both equal to 60.

So 2x - 8 = 60

Therefore, the equation would use to determine how long he drove each way is 2x - 8 = 60.

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Answer:  Substitute this value to the formula for circumference: C = 2 * π * R = 2 * π * 14 = 87.9646 cm. You can also use it to find the area of a circle: A = π * R² = π * 14² = 615.752 cm². Finally, you can find the diameter - it is simply double the radius: D = 2 * R = 2 * 14 = 28 cm.

Step-by-step explanation:

99.5% of the data observations should fall between 11.579 and 28.421 according to expectations for the given normal distribution.

What is a normal distribution?

A continuous probability distribution for just a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

According to the question, if the lower limit is a and the upper limit is b, then 99.5 percent of values fall between a and b.

part of values below a certain threshold, a= (1-0.995)/2 = 0.0025

Mean,m  =20

Standard deviation,s = 3

 Z = (X – m) / s

   P(x<Z): 0.0025

P(x<Z) = 0.0025 can be determined for Z score.

according to the usual table, Z = -2.807

X = Zs+m

(-2.807 * 3) +20= 11.579

Lower limit = 11.579

Part of values that are less than b is equal to 0.995 + 0.0025 = 0.9975.

P(x<Z): 0.9975

Z score for which P(x<Z) = 0.9975 can be found

from the normal table as, Z = 2.807

X = Zs+m

(2.807 * 3) +20= 28.421

Upper limit = 28.421

99.5% of the data observations should fall between 11.579 and 28.421 according to expectations for the given normal distribution.

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If [tex]y=x^m[/tex] is a solution to the ODE

[tex]x^2 y'' - 7xy' + 15y = 0[/tex]

then substituting [tex]y[/tex] and its derivatives

[tex]y' = mx^{m-1} \text{ and } y'' = m(m-1)x^{m-2}[/tex]

gives

[tex]m(m-1)x^2x^{m-2} - 7mxx^{m-1} + 15x^m = 0[/tex]

[tex]m(m-1)x^{m} - 7mx^{m} + 15x^m = 0[/tex]

[tex](m(m-1) - 7m + 15)x^{m} = 0[/tex]

We ignore the trivial case of [tex]y=x^m=0[/tex]. Solve for [tex]m[/tex].

[tex]m(m-1) - 7m + 15 = 0[/tex]

[tex]m^2 - 8m + 15 = 0[/tex]

[tex](m - 3) (m - 5) = 0[/tex]

[tex]\implies \boxed{m=3} \text{ or } \boxed{m=5}[/tex]

a. $1.35 Canadian dollar will be 124 cents.

b. cost in U.S. dollars (US$) for 1 gal of gasoline in Toronto will be $5.11.

A. It should be noted that the rate was US$ 0.92 for each Canadian dollar.

Therefore, $1.35 Canadian dollar will be:

= 1.35 × 0.92

= $1.24 = 124 cents.

B. The cost in U.S. dollars (US$) for 1 gal of gasoline in Toronto will be:

= 3.78541 × 1.35

= $5.11

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The charge q is ±7.46 × 10⁻⁷C.

Give:

Take a look at the charge on the left. The following forces are at work in response to this charge:

(Refer to the diagram below)

Because the charge is in equilibrium, the charge's vertical and horizontal forces must be zero.

We have the following in the vertical direction:

[tex]\begin{aligned}T \cos 20^{\circ} &=W \\\Rightarrow T &=\frac{m g}{\cos 20^{\circ}} \\&=\frac{3.0 \times 10^{-3} \mathrm{~kg} \times 9.8 \mathrm{~m} / \mathrm{s}^2}{\cos 20^{\circ}} \\&=3.13 \times 10^{-2} \mathrm{~N}\end{aligned}[/tex]

Coulomb's Law states that the electrostatic force between two point charges, q₁, and q₂, separated by r is given by the equation:

[tex]\begin{aligned}F &=\frac{q_1 q_2}{4 \pi \epsilon_0 r^2} \\&=\frac{K q_1 q_2}{r^2}\end{aligned}[/tex]

Here,

Using trigonometric personalities, the distance between any two charges is:

[tex]\begin{aligned}r &=2 l \sin 20^{\circ} \\&=2 \times 1.0 \mathrm{~m} \times 0.342 \\&=0.684 \mathrm{~m}\end{aligned}[/tex]

We have the following in the vertical direction:

[tex]\begin{aligned}F_e &=T \sin 20^{\circ} \\\Rightarrow \frac{K q_1 q_2}{r^2} &=T \sin 20^{\circ} \\\Rightarrow \frac{K q^2}{r^2} &=T \sin 20^{\circ} \\\Rightarrow q^2 &=\frac{r^2 T \sin 20^{\circ}}{K} \\&=\frac{(0.684 \mathrm{~m})^2 \times 3.13 \times 10^{-2} \mathrm{~N} \times \sin 20^{\circ}}{9 \times 10^9 \mathrm{~N} \cdot \mathrm{m}^2 / \mathrm{C}^2} \\&=55.65 \times 10^{-14} \mathrm{C}^2 \\\Rightarrow q &=\pm 7.46 \times 10^{-7} \mathrm{C}\end{aligned}[/tex]

Therefore, the charge q is ±7.46 × 10⁻⁷C.

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The correct question is given below:
Two 3.0g point charges on 1.0m - long threads repel each other after being equally charged, as shown in the figure. What is the charge q?

Using system of equations, the cost of one video game is $25.5; the cost of one DVD is $13.

Given the problem above, we would do the following:

Using the information given, we would form two equations for the system as shown below:

2v + 3d = 90 ---> equation 1

v + 2d = 51.5 ---> equation 2

Multiply equation 2 by 2 to get equation 3

2v + 4d = 103 ---> equation 3

Subtract equation 1 from equation 3

d = 13

The cost of one DVD = d = $13.00

Substitute d = 13 into equation 2

v + 2d = 51.5 ---> equation 2

v + 2(13) = 51.5

v + 26 = 51.5

v = 51.5 - 26

v = 25.5

The cost of one video game = v = $25.50.

Therefore, using system of equations, the cost of one video game is $25.5; the cost of one DVD is $13.

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Answer:

Step-by-step explanation:

[tex]1. \: \: - 2 \times - 3 = \\ = 6[/tex]

[tex]2. \: \: ( - 3 \times 4) \div ( - 8) = \\ = ( - 12) \div ( - 8)\\ = ( - 6 )\div ( - 4) \\ = ( - 3 )\div ( - 2 )\\ = 1.5[/tex]

[tex]3. \: \: ( - 2) \times ( - 3) \times ( - 4) = \\ = 6 \times ( - 4) \\ = - 24[/tex]

The equation for the line that connects the locations is y = 2x + 5.

The slope of a line, commonly known as the gradient, is defined as the value of the steepness or direction of a line in a coordinate plane. Slope can be determined using many ways given the equation of either a line or the coordinates of points on the straight line. . The slope is defined mathematically as "climb overrun" (change in y divided by change in x).

x₁ = 1

y₁ = 7

x₂ = -3

y₂ = -1

To obtain the equation of a line, we must first determine its slope. This is computed as:

m = [y₂ - y₁ ]/[x₂ - x₁]

Substituting the value we get:

m = [(-1) - 7 )/((-3) - 1)]

  = -8/-4

   = 2

The slope of the line = 2.

The line's intercept is:

The slope is the next step toward solving for  a such equation of the line.

A typical linear equation is presented as:

y = mx + c

Let us substitute the slope and intercept values.

y = 2x + 5

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Answer: 2

Step-by-step explanation:

as x is to a power of 2 so degree is 2

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The cost of Green fees for each person is $16.

As per the question statement, Sergio went golfing with 3 other friends and two of them rented clubs for $6 each, the total cost of the rented clubs and the green fees  being $76.

We are required to calculate the cost of Green fees for each person.

Let us assume that the cost of Green fees for each person is "x".

We will now form a linear equation of single variable "x" based on the conditions mentioned in the question statement, and solving for x, we will obtain our desired answer.

[tex][4x+(2*6)]=76\\or,4x+12=76\\or, 4x=76-12\\or, 4x=64\\or, x=\frac{64}{4}=16[/tex]

That is, the cost of Green fees for each person is $16.

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Answer: 1²⁷/₂₈

Step-by-step explanation:

[tex]\displaystyle\\\frac{5}{7}+\frac{1}{2}+\frac{3}{4} =\\\\\frac{5*4+1*14+3*7}{28} =\\\\\frac{20+14+21}{28} =\\\\\frac{55}{28} =\\\\1\frac{27}{28}[/tex]

Answer:

fsfdsesdfsesd 'jp

Step-by-step explanation:

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