Help me please, no joke answers

The value of x is 15

If two angles sum to 90 degrees, they are said to be complimentary angles. In other terms, a right angle is created when two complementary angles are combined (90 degrees). If the sum of angles 1 and 2 equals 90 degrees (i.e., angle 1 plus angle 2 = 90°), then the angles are complementary and are referred to as one another's complements.

∠1 and ∠2 are complementary angles i.e the sum of ∠1 and ∠2 is 90° .

Thus

∠1 + ∠2 = 90°

x° + (3x+30)° = 90°

x + 3x + 30 = 90

4x = 90-30

4x = 60

x = 15

Therefore the value of x is 15.

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16.4 is the 20% of 82

your welcome

Answer:

g(-1)=-16

Step-by-step explanation:

g(x)=6x-10

Let x=-1

g(-1)=6(-1)-10

=-6-10

g(-1) =-16

The derivative of a function can be viewed geometrically through the slope of the graph of the function or through the slope of the tangent line at a point.

This is referred to as a mathematical term which is used to describe the relationship between two variables which are referred to as the independent and the dependent variable.

The derivative of a function is denoted as the rate of change of the variables and can be viewed geometrically through calculation of the slope of the graph of the function or through the slope of the tangent line at a point.

This is therefore the reason why it was chosen as the most appropriate choice.

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Answer:

To compare who saves the most of their salary each month among Amy, John, and Emily, we need to calculate the amount of salary each person saves.

Let's assume that the monthly salary of each person is 'S'. Then we can calculate the amount saved by each person as follows:

Amy:

Amount saved = 20% of S = 0.2S

Amount spent = S - 0.2S = 0.8S

John:

Amount spent = 2/5 of S = (2/5)S

Amount saved = S - (2/5)S = (3/5)S

Emily:

Let's assume that Emily saves '5x' and spends '8x' of her monthly salary.

Then, according to the question, we have:

Amount saved = 5x

Amount spent = 8x

We know that the ratio of the amount saved to the amount spent is 5:8, so we can write:

Amount saved / Amount spent = 5/8

Substituting the values of amount saved and amount spent, we get:

5x / 8x = 5/8

5x = (5/8) x 8x

5x = 5x

Therefore, the ratio of amount saved to amount spent is equal to 5:8. This means that Emily saves 5/13 of her monthly salary and spends 8/13 of her monthly salary.

So, the amount saved by each person is:

Amy: 0.2S

John: (3/5)S

Emily: 5/13 of S

Now, we need to compare these amounts to find out who saves the most.

To compare these amounts, we can write them in terms of a common denominator:

Amy: 0.2S

John: (3/5)S = (0.6)S

Emily: (5/13)S = (0.3846)S (approx.)

Therefore, we see that John saves the most of his salary each month, followed by Amy and then Emily.

Working out:

Let's assume that each person earns $1000 per month.

Amy:

Amount saved = 20% of $1000 = $200

Amount spent = $800

John:

Amount spent = 2/5 of $1000 = $400

Amount saved = $1000 - $400 = $600

Emily:

Let's assume that Emily saves $5x and spends $8x of her monthly salary.

Then, we have:

Amount saved = $5x

Amount spent = $8x

We know that the ratio of the amount saved to the amount spent is 5:8, so we can write:

$5x / $8x = 5/8

Solving for x, we get:

x = 8/13

Substituting the value of x, we get:

Amount saved = $5 x (8/13) x $1000 = $384.62 (approx.)

Amount spent = $8 x (8/13) x $1000 = $615.38 (approx.)

Therefore, we see that John saves the most of his salary each month, followed by Amy and then Emily.

The correct way to measure the zone of inhibition is to place a known amount of an antimicrobial agent on a solid medium.

Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.

The zone of inhibition is then measured as the area surrounding the antimicrobial agent where microbial growth has been inhibited. This area is typically measured in millimeters. To accurately measure the zone of inhibition, it is important to ensure that the size of the inoculum and the amount of antimicrobial agent used remain constant. Additionally, it is important to consider the type of organism being studied, as different organisms can have different levels of susceptibility to the antimicrobial agent. Finally, the medium used should be appropriate for the organism being studied, as different media can produce different results.

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a) The general solution is y = t^4/4 + t^2/2 + A, b) The general solution is y = t^5/20 + t^3/6 + At + B, c) the general solution is x = t^6/120 + t^4/24 + At^2/2 + Bt + C   d) The general solution is y = 3t^2/4 + t + A/2

(a) To find the general solution of y′=4t^3+t, we need to integrate both sides of the equation with respect to t. This gives us:
y = ∫(4t^3+t)dt = t^4/4 + t^2/2 + A
So the general solution is y = t^4/4 + t^2/2 + A, where A is the first constant of integration.

(b) To find the general solution of y′′=4t^3+t, we need to integrate both sides of the equation twice with respect to t. This gives us:

y′ = ∫(4t^3+t)dt = t^4/4 + t^2/2 + A
y = ∫(t^4/4 + t^2/2 + A)dt = t^5/20 + t^3/6 + At + B

So the general solution is y = t^5/20 + t^3/6 + At + B, where A is the first constant of integration and B is the second constant of integration.

(c) To find the general solution of d^3x/dt^3=4t^3+t, we need to integrate both sides of the equation three times with respect to t. This gives us:
d^2x/dt^2 = ∫(4t^3+t)dt = t^4/4 + t^2/2 + A
dx/dt = ∫(t^4/4 + t^2/2 + A)dt = t^5/20 + t^3/6 + At + B
x = ∫(t^5/20 + t^3/6 + At + B)dt = t^6/120 + t^4/24 + At^2/2 + Bt + C

So the general solution is x = t^6/120 + t^4/24 + At^2/2 + Bt + C, where A is the first constant of integration, B is the second constant of integration, and C is the third constant of integration.

(d) To find the general solution of 2y′=3t+2, we need to integrate both sides of the equation with respect to t. This gives us:

2y = ∫(3t+2)dt = 3t^2/2 + 2t + A
y = (3t^2/2 + 2t + A)/2 = 3t^2/4 + t + A/2

So the general solution is y = 3t^2/4 + t + A/2, where A is the first constant of integration.

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Answer:

working hypothesis.

Step-by-step explanation:

Hypothesis is a technique in mathematics used to identify between two events. The event is tested for hypothesis using the null hypothesis and an alternative hypothesis is set to compare the results. If there are more than one hypothesis then there is working hypothesis technique used to identify the conclusion.

Answer:

Please look at the picture attached to see the long division.

a. 32 remainder 3

b. 75 remainder 7

Step-by-step explanation:

Answer:

Hey! The answer to your question will be below.

Step-by-step explanation:

Part A would be 32 R 3

And Part B would be 75 R 7

If you want to see how I got this by long division, below I attached a picture which shows how you would do the long division!

Hope this helps! :)

⭐️Have a wonderful day!⭐️

Step-by-step explanation:

We can find the other point using the axis of symmetry.

The axis of symmetry for a parabola passes through the x coordinate of the vertex.

So our axis of symmetry is x=4, which is a vertical line.

For any point on a parabola curve except the vertex, there will two points that share the same y value. The two x coordinates of those points midpoints should be the axis of symmetry.

So,

If we know (0,-6) and the vertex is 4, let's find the other point

\(( \frac{0 + b}{2} = 4\)

\(b = 8\)

So our other point is

(8,-6).

So the answer to #1 is we found point (8,-6) by using the axis of symmetry. By reflecting the point (0,-6) about the vertical line x=4, we end up getting the point (8,-6)

To find q, q(x) has the same vertex, so it is (4,10).

We know the axis of symmetry is x=4, we also know the y intercept is 18 so we have point (0,18)

Using the axis of symmetry we will get (8,18).

So the graphs above are the graphs of p and q

The graph facing upwards is q

The graph facing downwards is p.

For #2, you can say we know the vertex is (4,10) and using the y intercept and axis of symmetry we found the other point on the curve.

I don't fully see the table but if the other coordinates have a higher y value, the vertex is a minimum.

Else, of the other coordinates have a lower y value, the vertex is a maximum.

The step of data storytelling that describes showing the story of the data to highlight the meaning behind the numbers is "Visuals". The correct answer is option (d).

Visuals are an important aspect of data storytelling because they can help to convey complex information in a simple and easy-to-understand way. Visuals can include graphs, charts, diagrams, and other types of visual aids that appeal to the sight and are used for effect or illustration.

By using visuals, a data analyst can help their audience to better understand the story that the data is telling and to see the patterns and trends that might not be presently alleged from the raw numbers alone.

Hence, the correct answer is option (d).

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The complete question is as follows:

A data analyst wants to tell a story with data. As a second step, they focus on showing the story of the data to highlight the meaning behind the numbers. which step of data storytelling does this describe?

a. Primary message

b. Engagement

c. Narrative

d. Visuals

Answer:

(1,8) and (1,2) are 6 units apart

52,  because 52 is a multiple of 13 (13*4 = 52)

Answer:

The answer is 52

Answer: Review the picture. This is the formula.

Step-by-step explanation: Just multiply the terms and you’ll get the volume. Remember to not measure the diameter but half of that which is the radius! I hope this helps but please comment down below if you need more help!

Answer: V = (1/3)πr2h.

Step-by-step explanation:

Answer:

True .

Step-by-step explanation:

It's true because it sure is possible to calculate the approximate number of years by the rule of 82 .Thank you :)

MAIN ANSWER : the least number that he must take out to be sure is

ᶯcrxn/2

supporting answer: Probability and statistics are two key concepts in mathematics. Chance is central to probability. Statistics, on the other hand, is concerned with how we handle various data sets using various techniques. It aids in the representation of complex data in a simple and understandable manner.

body of the answer:

assuming the 'n' socks present

ᶯcr=2 socks selection (2 are same colour)

assuming n/2 different colour

ᶯcrx n/2

final answer : therefore the least number that he must take out to be sure is

ᶯcrxn/2

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MAIN ANSWER : the least number that he must take out to be sure is

ᶯcrxn/2

What is probability and statistic?

Probability and statistics are two key concepts in mathematics. Chance is central to probability. Statistics, on the other hand, is concerned with how we handle various data sets using various techniques. It aids in the representation of complex data in a simple and understandable manner.

body of the answer:

Assuming the 'n' socks present

ᶯcr=2 socks selection (2 are same colour)

Assuming n/2 different colour

ᶯcrx n/2

Therefore the least number that he must take out to be sure is

ᶯcrxn/2

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Answer:5 1/2

Step-by-step explanation:I took the test

Answer:

x = 0.375

it is already rounded to the nearest thousandth.

Answer:

9.936

Step-by-step explanation:

V = Bh

B = base

base = Lengh x width

base = 4.8 x 2.3

base = 11.04

V = 11.04h

H = height

H = .9

V = .9 x 11.04

V = 9.936

Answer:

9.936 m³

Step-by-step explanation:

Given statement 'the transverse axis is the line joining the two vertices of a hyperbola.'

In this question, we need to complete the statement 'the transverse axis is the line joining the two vertices of an(n) ______.'

We know that a hyperbola is a conic section formed by intersecting a right circular cone with a plane at an angle such that both halves of the cone are intersected.

It is nothing but the set of all points (x,y) in a plane such that the difference of the distances between (x,y) and the foci is a positive constant.

In hyperbola, the transverse axis is a line that passes through the center of the hyperbola and has vertices as its endpoints.

Therefore, the transverse axis is the line joining the two vertices of a hyperbola.

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Answer:

1 is the answer

Step-by-step explanation:

Brainliest?

The given statement "The fallacy of equivocation occurs whenever a word has one meaning in one premise and the same meaning in another premise or the conclusion." is false because it will lead to invalid conclusion.

The fallacy of equivocation occurs when a word or phrase is used in multiple senses within an argument, leading to a misunderstanding or invalid conclusion. This can happen when a word or phrase is used ambiguously, with different meanings in different contexts or definitions.

Equivocation can occur not only between different premises, but also within a single premise or conclusion. To avoid equivocation, it is important to clarify the intended meaning of terms and to ensure that they are used consistently throughout the argument.

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Answer: Y = 5

Step-by-step explanation:

Step-by-step explanation:

(f o g)(x)

= f(x² - 5)

= 4(x² - 5) + 1

= 4x² - 19.

Therefore (f o g)(4) = 4(4)² - 19 = 64 - 19 = 45.

Answer:

\(\boxed {\boxed {\sf 45}}\)

Step-by-step explanation:

When solving a composition of function composition, work from the inside to the outside.

We have the composition:

We must start on the inside, and find g(4) first.

1. g(4)

The function for g is:

\(g(x)=x^2-5\)

Since we want to find g(4), we have to substitute 4 in for x.

\(g(4)=(4)^2-5\)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, and Subtraction. First we should solve the exponent.

\(g(4)=16-5\)

Subtract 5 from 16.

\(g(4)= 11\)

Now, since g(4) equals 11, we have:

2. f(11)

The function for f is:

\(f(x)= 4x+1\)

We want to find f(11), so substitute 11 in for x.

\(f(11)= 4(11)+1\)

Solve according to PEMDAS and multiply first.

\(f(11)= 44+1\)

Add.

\(f(11)= 45\)

(f o g)(4) is equal to 45.

The hyperbolic equations can be represented as the second-order partial differential equations, which have two different characteristics in nature. These equations can be obtained by finding the solution for the Laplace equation with variable coefficients, which are used to describe the behavior of a certain physical system such as wave propagation, fluid flow, or heat transfer.

The second-order wave equation δu²/δt² = c² δ²u/δx² is a hyperbolic equation since it can be obtained by finding the solution of the Laplace equation with variable coefficients. The wave equation is a second-order partial differential equation that describes the behavior of waves. It has two different characteristics in nature, which are represented by two independent solutions.The first solution is a wave traveling to the right, while the second solution is a wave traveling to the left.

The equation is hyperbolic since the characteristics of the equation are hyperbolic curves that intersect at a point. This intersection point is known as the wavefront, which is the location where the wave is at its maximum amplitude.The wave equation has many applications in physics, engineering, and mathematics.

It is used to describe the behavior of electromagnetic waves, acoustic waves, seismic waves, and many other types of waves. The equation is also used in the study of fluid dynamics, heat transfer, and other fields of science and engineering. Overall, the second-order wave equation is a hyperbolic equation due to its characteristics, which are hyperbolic curves intersecting at a point.

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Answer:

Step-by-step explanation:

The individuals in the given data set are college students while the data set contains 3 variables, three (3) of which are categorical in nature.

A categorical data can be defined as a type of statistical data that is used to group information that are having the same attributes or characteristics. Some examples of a categorical data include the following:

In this scenario, the individuals in the given data set are college students while the data set contains 3 variables, three (3) of which are categorical in nature i.e junior, senior and sophomore.

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a. To approximate the given quantity using Taylor polynomials with n=3, we need to use the formula for the Taylor polynomial of degree n:

Pn(x) = f(a) + f'(a)(x-a) + (1/2!)f''(a)(x-a)^2 + (1/3!)f'''(a)(x-a)^3 + ... + (1/n!)f^(n)(a)(x-a)^n
where f(x) = sinh(x), a = 0. The derivatives of sinh(x) are:
f'(x) = cosh(x), f''(x) = sinh(x), f'''(x) = cosh(x), and so on.
Therefore, the Taylor polynomial of degree 3 for sinh(x) centered at a = 0 is:
P3(x) = x + (1/2!)(x)^3
To approximate sinh(0.24), we substitute x = 0.24 into the formula above:
P3(0.24) = 0.24 + (1/2!)(0.24)^3 = 0.240008
b. To compute the absolute error in the approximation assuming the exact value is given by a calculator, we need to subtract the actual value of sinh(0.24) from the approximation we obtained in part a:
Error = |P3(0.24) - sinh(0.24)| = |0.240008 - 0.241663| = 0.001655
Therefore, the absolute error in the approximation is 0.001655.
To approximate sinh(0.17), we use the same formula and substitute x = 0.17:
P3(0.17) = 0.17 + (1/2!)(0.17)^3 = 0.170005
To compute the absolute error in this case, we subtract the actual value of sinh(0.17) from the approximation we obtained:
Error = |P3(0.17) - sinh(0.17)| = |0.170005 - 0.17031| = 0.000305
Therefore, the absolute error in the approximation for sinh(0.17) is 0.000305.

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lol i’m using this app to check my work