When soling a system of liner equations, try to algebraically form one equation that has only one variable

Answer:

I got −7.53112887414 and 0.531128874149

Step-by-step explanation:

plugged in

Answer:

Step-by-step explanation:

1. 8, 13, 18, 23, 28, 33, 38 (each time its being added by 5)

3. 4, 9, 14, 19, 24, 29, 34 (again each time its added by 5)

4. 5, 8, 11, 14, 17, 20, 23 (each time its added by 3)

5. 29, 30, 37, 44, 45, 46, 51, 58 (each time its added by 1 and 7)

6 200, 197, 194, 191, 188 (each time is subtracted by 3)

The order from least to greatest of the masses of each part of earth is The mass of the atmosphere < The mass of the Oceans < The mass of the crust < The mass of the inner core < The mass of the outer core < The mass of the mantle

The mass of the Oceans =1.4×\(10^{21}\) kg

The mass of the crust =2.6×\(10^{22}\) kg

The mass of the atmosphere=5.1×\(10^{18}\) kg

The mass of the mantle=4.043×\(10^{24}\) kg

The mass of the outer core=1.835× \(10^{24}\) kg

The mass of the inner core=9.675×\(10^{22}\) kg

Compare the numbers are write them in ascending order

5.1×\(10^{18}\) kg < 1.4×\(10^{21}\) kg < 2.6×\(10^{22}\) kg < 9.675×\(10^{22}\) kg < 1.835×\(10^{24}\) kg <  4.043×\(10^{24}\) kg

The order will be

The mass of the atmosphere < The mass of the Oceans < The mass of the crust < The mass of the inner core < The mass of the outer core < The mass of the mantle

Hence, the order from least to greatest of the masses of each part of earth is The mass of the atmosphere < The mass of the Oceans < The mass of the crust < The mass of the inner core < The mass of the outer core < The mass of the mantle

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Step-by-step explanation:

remember the priorities of the different mathematical operations

1. brackets

2. exponents

3. multiplications and divisions

4. additions and subtractions

so,

14 + 14/7 = 14 + 2 = 16

Hey there!

14 + 14 ÷ 7

14 ÷ 7 = 2

= 14 + 2

= 16

Therefore, your answer is: 16

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

A p-value of 0.23 in the context of a clinical trial testing a vaccine's effectiveness suggests that the observed reduction in the percentage of individuals catching the virus, when comparing the vaccine group to the control group, is not statistically significant at conventional levels of significance (such as 0.05 or 0.01).

The p-value represents the probability of obtaining the observed data, or data more extreme, under the assumption that the null hypothesis is true.

In this case, the null hypothesis would typically state that there is no difference in the percentage of virus cases between the vaccine and control groups. A p-value of 0.23 indicates that there is a 23% chance of observing the reported reduction in cases or an even more substantial reduction if the null hypothesis were true.

Therefore, based solely on the p-value of 0.23, the best interpretation is that the observed reduction in virus cases could plausibly be due to random variation or chance, rather than a true effect of the vaccine. However, it is important to consider other factors, such as the study design, sample size, and clinical significance of the observed reduction, before drawing final conclusions about the vaccine's effectiveness.

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To determine the fraction that Lee writes on the first mark to the right of 17, we need to understand the numbering pattern and the position of the marks.

If Lee marks sixths on the number line, it means that the interval between each mark is 1/6.

Starting from 0, the first mark to the right of 17 would be located at 18.

To find the fraction written on this mark, we can calculate the difference between 18 and 17 and express it as a fraction of the interval between each mark (1/6).

18 - 17 = 1

Therefore, the fraction that Lee writes on the first mark to the right of 17 is 1/6.

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Answer:

-53-27x

Step-by-step explanation:

Answer attached...

Hope it helps :)

Simplify;

The answer is NOT a real number, that is 4i

Answer:

4.44444444

Step-by-step explanation:

Answer:

9424.78 I think

Step-by-step explanation:

dont trust me for edulastic questionsss  but I think thats correct

Answer:

9424.78 in^3

Step-by-step explanation:

Use formula V= pi(r^2)(H). V is volume, r is radius, and h is height. You are given the radius(10) and the height(30). Plug it into the formula to get V=pi(10^2)(30), which will solve for 9424.78. (Use 3.14 instead of pi in the formula, because the question says to do so)

Answer:

Step-by-step explanation:

Looking at the Venn diagram :

The total number of students surveyed is 7+5+8+6+2+4+3+6 = 41

The number of students that studies physics is = 14

The number of students that studies chemistry is =  21

Probability  = number of favorable outcomes / total number of outcomes

Therefore  the probability that a student chosen at random studies physics and chemistry or both is  35/41 = 0.85

Answer:

x= -8y  / 5 +107

y = 535 - 5x / 8

Step-by-step explanation:

5x+8y=535

Subtract 8y from both sides.

5x=535−8y

Divide both sides by 5.

5x / 5 = 535 - 8y / 5

Dividing by 5 undoes the multiplication by 5.

x=  535−8y / 5

​ Divide 535−8y by 5.

x= -8y  / 5 +107

5x+8y=535

Subtract 5x from both sides.

8y=535−5x

Divide both sides by 8

8y / 8 = 535 - 5x / 8

Dividing by 8 undoes the multiplication by 8.

y = 535 - 5x / 8

Hope this answer helps you :)

Have a great day

Mark brainliest

The solution of the quadratic equation \(x^2 - 6x = 72\) is

x = 12 or x = -6

What is a quadratic equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

The given quadratic equation is

\(x^2 - 6x = 72\)

Now,

\(x^2 - 6x = 72\\x^2 - 6x - 72 = 0\\x^2 - 12x + 6x -72 = 0\\x(x -12)+6(x -12)=0\\(x-12)(x+6)=0\\x-12=0 \ or \ x+6 = 0\\x = 12 \ or \ x = -6\)

The solution of the quadratic equation \(x^2 - 6x = 72\) is

x = 12 or x = -6

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Answer:

Both of the shapes correspond with one another.

(For explanation, look to the second image. Brainly would not let me submit that for an unknown reason)

(It is my explanation)

Good luck!

(A)1500 flash drives would be required. (B) resulting in 4 million hairs as the upper bound. (C) a person with the maximum number of hairs would have densely packed hair on their head and a larger than average surface area of skin. (D)  at least two people in the world with the same number of hairs.

a) In August 2011, Flickr had 6 billion images, with each image being approximately 2 megabytes (MB) in size. This amounts to a total data size of 12 billion megabytes or 12 terabytes (TB). Comparatively, an 8GB flash drive has a storage capacity of 8 gigabytes (GB). Therefore, to store all the images from Flickr, approximately 1500 flash drives would be required.

b) (a) Based on the given information, we can calculate an upper bound for the number of hairs a person can have. Assuming an average of 1600 hairs per square inch on the head and 2500 square inches of skin, the maximum number of hairs would be 1600 hairs/inch² multiplied by 2500 inch², resulting in 4 million hairs as the upper bound.

(b) To describe a person who would have that many hairs, they would need to have an extremely dense concentration of hair on their head, reaching the upper limit of 3000 hairs per square inch. Additionally, their skin area would need to be at the maximum of 4000 square inches. Therefore, a person with the maximum number of hairs would have densely packed hair on their head and a larger than average surface area of skin.

(c) To determine the number of people in the world, one would need to consult an online resource such as the United Nations or World Bank databases, which provide estimates of the global population.

(d) Based on the answers obtained, it is not possible to determine if there are at least two people in the world with exactly the same number of hairs. This is because even though the upper bound for the number of hairs has been calculated, the exact distribution of hair counts among individuals is unknown. However, using the Pigeonhole Principle in discrete/finite mathematics, if each room corresponds to a specific number of hairs and there are more people than the number of rooms, there must be at least one room with more than one person, implying that there are indeed at least two people in the world with the same number of hairs.

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The graph of the parent absolute value function is decreasing over the interval (-∞, 0). The function exhibits a decreasing behavior as x moves from negative infinity towards zero, where the absolute value decreases.

The parent absolute value function is defined as f(x) = |x|. To determine where the graph of this function is decreasing, we need to identify the intervals where the function's slope is negative.

Let's analyze the behavior of the parent absolute value function:

For x < 0, the function can be rewritten as f(x) = -x. In this interval, the function is a linear function with a negative slope of -1. As x decreases, f(x) also decreases, indicating a decreasing behavior.

For x > 0, the function remains f(x) = x. In this interval, the function is a linear function with a positive slope of 1. As x increases, f(x) also increases, indicating an increasing behavior.

At x = 0, the function is not differentiable since the slope changes abruptly from negative to positive. However, it is worth noting that the function does not strictly decrease or increase at x = 0.

Therefore, we can conclude that the graph of the parent absolute value function is decreasing over the interval (-∞, 0).

In this interval, as x moves from negative infinity towards zero, the function values decrease. The farther away x is from zero (in the negative direction), the larger the absolute value, resulting in a decrease in the function values.

On the other hand, the graph of the parent absolute value function is increasing over the interval (0, ∞), as explained earlier.

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Equation to represent the relationship between a and b is b = -2a

On a number line, if a number b is located the same distance from 0 as another number a, but in the opposite direction, and the number b differs directly with the number a, it means that as a increases, b also increases, and as a decreases, b also decreases in the same manner.

To represent this relationship, we can use the equation b = -ka, where k is a constant of proportionality. Since b and a are in opposite directions, we include a negative sign in the equation.

To find the value of k, we can use the given example b = 8 when a = 4. Plugging these values into the equation, we get 8 = -k * 4. Solving for k, we divide both sides of the equation by -2, which gives us k = -2.

Therefore, the equation that represents the relationship between a and b is b = -2a.

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The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.

The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.

In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.

The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5

where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4

The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33

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The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:

y^2 / 25 - x^2 / a^2 = 1

where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.

Thus, the equation for the hyperbola is:

y^2 / 25 - x^2 / (400/9) = 1

or

9y^2 - 400x^2 = 900

The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.

To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.

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Answer:

Infinitely many solutions

Step-by-step explanation:

3x+y=1

15x+5y=5

Step: Solve3x+y=1 for y:

3x + y +−3 x = 1 + −3x (Add -3x to both sides)

y=−3x+1

Step: Substitute−3x+1 for y in 15x+5y=5:

15x+5y=5

15x+5(−3x+1)=5

5=5(Simplify both sides of the equation)

5+−5=5+−5(Add -5 to both sides)

0=0

so there are infinite solutions  

The statement "P(m, n)" means "m divides n", where the domain for both variables are positive integers (m, n > 0). This means that "n = km" for some integer k.
(a) P(4, 5): False Since 5 is not divisible by 4, the statement "P(4, 5)" is false.
(b) P(2, 4): True Since 4 is divisible by 2, the statement "P(2, 4)" is true.
(c) ∀m ∀n P(m, n): False This statement implies that every positive integer is divisible by every other positive integer, which is false.
(d) ∃n ∀m P(m, n): False This statement implies that there exists some positive integer that is divisible by all other positive integers, which is false.
(e) ∃m ∀n P(m, n): False This statement implies that there exists some positive integer that divides all other positive integers, which is false.
(f) ∀n ∃m P(m, n): True This statement implies that for any given positive integer, there exists some positive integer that it is divisible by, which is true. (using the domain and range)

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Explanation:

Let's go with the example given to us. Let's say the correct lock combo is 4-2-7.

If we get the first two digits right, then we have 8 choices for the third digit since we pick from between 1 and 8 inclusive. There are 8 combos of the form 4-2-x.

The same goes for stuff of the form 4-x-7 and x-2-7.

There appear to be 8+8+8 = 24 different combos that will open this faulty lock. However, we must subtract off 2 because we've triple counted "4-2-7" when adding up those 8's.

In reality there are 24-2 = 22 different combos that will open the faulty lock.

There are 8^3 = 512 different combos total. That gives 512-22 = 490 combos that do not open the lock.

If the person is very unlucky, with the worst luck possible, then they would randomly try all of the 490 combos that don't work.

Attempt number 491 is when they'll land on one of the 22 combos that do work.

(a) The z-score for x = 22.452 is 1.24.

We have N(15, 6),

Mean (μ) = 15,

Standard Deviation (σ) = 6.Score

(z-score) for x = 22.452

z = (x - μ) / σ

z = (22.452 - 15) / 6

z = 1.2424 (to 2 decimal places)

Therefore, the z-score for x = 22.452 is 1.24.

(b) Now find the probability (to 4 decimal places from the z-score table), that a randomly chosen X is less than 22.452.

P(X < 22.452) = P(Z < 1.24)

From the z-table, the area to the left of z = 1.24 is 0.8925 (approx).

P(X < 22.452) = 0.8925 (approx)

Therefore, the probability that a randomly chosen X is less than 22.452 is 0.8925 (approx).

Second, consider N(16,4).

(c) Find the score for x = 14.464 (to 2 decimal places).

We have N(16,4),

Mean (μ) = 16,

Standard Deviation (σ) = 4.

Score (z-score) for x = 14.464

z = (x - μ) / σ

z = (14.464 - 16) / 4

z = -0.384 (to 2 decimal places)

Therefore, the score for x = 14.464 is -0.38.

(d) Now find the probability (to 4 decimal places from the z-score table), that a randomly chosen X is less than 14.464.

P(X < 14.464) = P(Z < -0.384)

From the z-table, the area to the left of z = -0.384 is 0.3508 (approx).

P(X < 14.464) = 0.3508 (approx)

Therefore, the probability that a randomly chosen X is less than 14.464 is 0.3508 (approx).

Third, consider N(18, 3).

(e) If we know the probability of a random variable X being less than as is 0.8632 [that is, we know P(X < 23) = 0.8632], use the z-score table to find the z-score for a3 that gives this probability.

P(X < 23) = 0.8632P(Z < z) = 0.8632

From the z-table, the closest area to 0.8632 is 0.8633.

The z-score for 0.8633 is 1.07 (approx).

Therefore, the z-score for a3 that gives the probability 0.8632 is 1.07 (approx).

(f) Now use the formula for the z-score given a, u, and σ to find the value of a3 that has the correct probability.

Score (z-score) formula is z = (x - μ) / σ

=> 1.07 = (23 - 18) / 3a3 = (1.07 x 3) + 18a3 = 21.21 (approx)

Therefore, the value of a3 that has the correct probability is 21.21.

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∂g/∂u is equal to 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v)).

To find the indicated derivative, we need to use the chain rule. Let's differentiate step by step:

Given:

g(u, v) = f(x(u, v), y(u, v))

f(x, y) = 7x³y³

x(u, v) = ucos(v)

y(u, v) = usin(v)

To find ∂g/∂u, we differentiate g(u, v) with respect to u while treating v as a constant:

∂g/∂u = (∂f/∂x) * (∂x/∂u) + (∂f/∂y) * (∂y/∂u)

To find ∂f/∂x, we differentiate f(x, y) with respect to x:

∂f/∂x = 21x²y³

To find ∂x/∂u, we differentiate x(u, v) with respect to u:

∂x/∂u = cos(v)

To find ∂f/∂y, we differentiate f(x, y) with respect to y:

∂f/∂y = 21x³y²

To find ∂y/∂u, we differentiate y(u, v) with respect to u:

∂y/∂u = sin(v)

Now, we can substitute these partial derivatives into the equation for ∂g/∂u:

∂g/∂u = (21x²y³) * (cos(v)) + (21x³y²) * (sin(v))

To find the simplified form, we substitute the given values of x(u, v) and y(u, v) into the equation:

x(u, v) = ucos(v) = u * cos(v)

y(u, v) = usin(v) = u * sin(v)

∂g/∂u = (21(u * cos(v))²(u * sin(v))³) * (cos(v)) + (21(u * cos(v))³(u * sin(v))²) * (sin(v))

Simplifying further, we get:

∂g/∂u = 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v))

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Answer:

yeh-shen:

The theme in the story is that good things happen to good people and bad things befall on evil people.

cinderella:

Cinderella teaches the morals of kindness towards all, forgiving others for doing wrong, and never letting bad things ruin your heart. The themes of the story are good versus evil and luck changing your life.

Step-by-step explanation:

• The figure is a triangular prism

• The surface area is 88.54 sq mm

The given figure is a triangular prism.

The surface area is given as follows:

The volume of a cylinder is V=πr^2*h.

The volume of this cylinder is V=π(7)^2*12, which it V=588π.

Answer:

The answer is 0.02

Step-by-step explanation:

1/50=0.02