How to rewrite the equation 5x + 7y = -14 in slope intercept form

The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.

   When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."

  To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."

    As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."

     It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.

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Answer:

20

50% of 40 is 20 because half of 40 is 20

Answer:

20

Step-by-step explanation:

1) Change 50% into a decimal

50% ⇒ 0.5

2) Multiply 0.5 by 40

0.5 × 40 = 20

Therefore, 50% of 40 is 20.

I hope this helps!

Answer:  12.6 ft

Step-by-step explanation:

a = 8.8 ft

b = 9 ft

c = ?

Since it is a right triangle, we can use the Pythagorean Theorem to solve for missing side c, the hypotenuse.

a^2 + b^2 = c^2

(8.8)^2 + (9)^2 = c^2

158.44 = c^2

(158.44)^(1/2) = c

12.5873 = c

c = 12.6 ft (rounded to the nearest tenth)

Answer:

The answer is 12.6

Step-by-step explanation:

See the solution in the picture.

Answer:

420 students

Step-by-step explanation: I first did 300/5 which got me 60, meaning that one bus could transport 60 students. Then you do 60*7 (60 is how many students on each bus, and 7 is how many buses there are) and get 420 students on 7 buses.

Yes, function notation can be used to add two functions. we can compose the two functions to get the velocity as a function of time.

To add two functions f(x) and g(x), we simply add their output values for the same input value x. So, (f+g)(x) = f(x) + g(x).

In the given example, f(x) = 3x + 2 and g(x) = 4x. Therefore, (f+g)(x) = 3x + 2 + 4x = 7x + 2.

We can also compose functions, such as f(g(x)) which means applying function g to x and then applying function f to the result. In the given example, f(g(x)) = f(4x) = 3(4x) + 2 = 12x + 2.

Function composition can be useful in situations where we want to model complex systems as a series of simpler functions. For example, in physics, the position of an object may be modeled as a function of time, and the velocity of the object may be modeled as the derivative of the position function with respect to time. In this case, we can compose the two functions to get the velocity as a function of time.

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The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

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Answer:

y = \(\frac{3}{2} x+6\)

Step-by-step explanation:

3x-2y=-12

-2y=-3x-12

y = (-3x-12)/-2

y = \(\frac{3}{2} x+6\)

Hope this helps! :)

(pls mark brainliest)

Answer:

y= 3x/2 + 6

Step-by-step explanation:

-2y = -3x - 12

y = -3x/-2 - 12/-2

y= 3x/2 + 6

The communication is a one-way process in which a message is conveyed from a sender to a receiver is one of the assumptions made by the linear model of communication.

The straightforward linear model of communication presents communication as a process with distinct beginnings and endings.

But this model ignores the fact that communication is frequently a more complex and involved process that needs context, feedback, and a variety of channels.

The linear model presumes that the message is clearly understood by the recipient and that it is received by the recipient free from distortion or interference.

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An assumption of the linear model of communication is the belief that communication is a one-way process where a sender transmits a message to a receiver through a channel. This model assumes that communication is a linear process where the sender encodes a message, which is then sent through a channel to the receiver who decodes the message.

In the linear model, the sender encodes a message, sends it through a channel, and the receiver decodes the message. This model does not account for feedback or interaction between the sender and receiver, assuming that communication is a straightforward and direct transmission of information without any complexities or interruptions.

This model assumes that there is little to no feedback or interaction between the sender and receiver, and that the message is transmitted and received accurately without any distortion. However, this assumption is often criticized for oversimplifying the complex nature of communication and ignoring the role of context and feedback in the communication process.

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The general solution of the differential equation 2(dy/dx) + y - y^3(x - 1) = 0 is: y = ±√[1 - [(1/2) x + C]²]

To find the general solution of the differential equation:

2(dy/dx) + y - y³(x - 1) = 0

Let's rearrange the equation:

2(dy/dx) = y³(x - 1) - y

Divide both sides by 2:

dy/dx = (1/2)(y³(x - 1) - y)

let's separate the variables by bringing all y terms to one side and all x terms to the other side:

dy/[y³(x - 1) - y] = (1/2) dx

To integrate both sides,  to perform a substitution. Let's substitute u = y²:

dy = (du/2√u)

Substituting back into the equation:

(du/2√u) / [u(x - 1) - √u] = (1/2) dx

Next,  simplify the expression further:

du / [2√u(u(x - 1) - √u)] = (1/2) dx

Now, let's integrate both sides:

∫ du / [2√u(u(x - 1) - √u)] = ∫ (1/2) dx

This integral requires a trigonometric substitution. Let's substitute √u = sinθ:

du = 2sinθ cosθ dθ

Substituting back into the equation:

∫ (2sinθ cosθ dθ) / [2√(sinθ)²(sinθ(x - 1) - sinθ)] = (1/2) ∫ dx

Simplifying:

∫ sinθ dθ / √sinθ(sinθ(x - 1) - sinθ) = (1/2) ∫ dx

Now, integrate both sides:

∫ sinθ dθ = (1/2) ∫ dx

This gives us:

-cosθ = (1/2) x + C

Substituting back θ = arcsin(√u):

-cos(arcsin(√u)) = (1/2) x + C

Using the identity cos(arcsin(x)) = √(1 - x²):

-√(1 - (√u)²) = (1/2) x + C

Simplifying:

-√(1 - u) = (1/2) x + C

Substituting back u = y^2:

-√(1 - y^2) = (1/2) x + C

Finally, solving for y:

√(1 - y²) = -[(1/2) x + C]

Square both sides:

1 - y² = [(1/2) x + C]²

Rearranging the equation:

y² = 1 - [(1/2) x + C]²

Taking the square root:

y = ±√[1 - [(1/2) x + C]²]

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A case-control study is characterized by all of the following except the incidence rates may be computed. Answer: D. Case-control study is a type of observational study in which two existing groups differing in outcome are identified and compared on the basis of some supposed causal attribute.

A case-control study is an observational study in which two groups are compared in terms of exposure to some suspected causal factor. In a case-control study, people with the outcome of interest (i.e., cases) are identified and compared to people from the same source population without the outcome of interest (i.e., controls).

The study design is best suited to the investigation of outcomes or diseases that are rare and have a long latency period. It is also useful in the study of outcomes or diseases that have more than one possible cause, where the goal is to identify which of the multiple factors is responsible for the outcome of interest.

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The information is not enough to prove that triangles DEF and OPQ are congruent through SAS, as we need two equal side lengths and one angle measure.

The Side-Angle-Side (SAS) congruence theorem states that if two sides of two similar triangles form a proportional relationship, and the angle measure between these two triangles is the same, then the two triangles are congruent.

The parameters given for this problem are given as follows:

As we are given only one side, instead of the two sides needed, we have that the information given is not enough to prove that the two triangles are congruent by the SAS congruence theorem.

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The equation that shows the way that Mimi can spend a $25 is 2.99p + 4.99t = 25.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the premium skins be p.

Let the number of tools be t.

This will be illustrated as:

(2.99 × p) + (4.99 × t) = 25

2.99p + 4.99t = 25

This illustrates the equation.

The complete question is given below.

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Mimi wants to spend a $25 gift card on two kinds of in -app purchases for her favorite game: premium skins that cost $2.99, and tools that cost $4.99. What is the equation to depict this?

Answer:

The answer should be A. I think. Hope it helps

Step-by-step explanation:

Answer:

The unknown number is 13 less than 47.

13+15= 28

so that means 47-13 has to happen

Answer:

= 11.56 of the surface area of the pyramid.

Step-by-step explanation:

3.4ft x 3.4ft

= 11.56

Answer:

11.56

hopes this helps

Step-by-step explanation:

A^ = 40° ( given)

considering ABD triangle

B^ = D ^ = (180 - 40)÷ 2 (angles in a triangle, AB = AD)

considering BDC triangle

D^ = C^ = x ( BD = DC)

then m2^ = 180- 2x

x = 110° ( on straight line )

m2^ = 180 - 220°

= - 40°

it can't be negative .. there's some issue with the given figure .

Answer:

x = 10

Step-by-step explanation:

a² + b² = c²

6² + 8² = c²

36 + 64 = 100

√100 = ±10

x = 10

Answer:

10

Step-by-step explanation:

We can use the Pythagorean Theorem to find the value of x.

It states that in a right triangle, \(a^2 + b^2 = c^2\).

A and b are the sides, while c is the hypotenuse.

We already know the measure of a and b, so we can find the measure of c easily.

\(6^2 + 8^2 = c^2\\\\36+64=c^2\\\\100=c^2\\\\10=c\)

Hope this helped!

ANSWER:

In geometry, a shape is defined as the figure closed by the limit. The boundary is created by combining lines, points, and curves. Basically, there are two different types of geometric shapes, such as:

• Two Dimensional shapes (2D):, Also known as flat shapes, are the shapes having two dimensions only. It has length and breadth. It does not have thickness.

• Three Dimensional shapes (3D):, Also known as solid shapes, are the shapes that have three dimensions such as length, breadth and thickness.

Because of this, 2D figures are often associated with area and 3D figures with volume.

These are defined as follows:

This means that the length of the figure in 2D is equal to the square root of the area and also in 3D figures it is equal to the cube root of the volume.

The absolute maximum value of f on R does not exist, while the absolute minimum value of f on R is 6.

To find the absolute maximum and minimum values of f on R, we need to consider the critical points in the interior of R and the points on the boundary of R.

First, we find the critical points by taking the partial derivatives of f with respect to x and y, and setting them equal to 0:

fx = 6x - 6 = 0, fy = 7 = 0

Solving these equations gives us the critical point (1, 0).

Next, we find the values of f at the corners of R:

f(0, 1) = 10, f(0, -1) = 22, f(2, 1) = 6, f(2, -1) = 18

Finally, we check the values of f on the boundary of R by parametrizing the boundary curve as (t, 1-t^2) for 0 ≤ t ≤ 2. Evaluating f at these points gives us a minimum value of 6 at t = 2.

Since there is no maximum value of f on R, we conclude that the absolute maximum value does not exist. The absolute minimum value of f on R is 6.

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Answer:

1. Mean, because there are no outliers that affect the center

Step-by-step explanation:

Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2

Sorted values : 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4

The mean = ΣX / n

n = sample size, n = 15

Mean = 34 / 15 = 2.666

The median = 1/2(n+1)th term.

1/2(16)th term = 8th term.

The 8th term = 2

The best measure of centre is the mean because the values for the second period has no outliers that might have affected the centre of the distribution.

Both interquartile range and standard deviation are measures of spread and not measures of centre.

Answer:

42315.6

Step-by-step explanation:

Let the horizontal distance be x.

\(\tan 5.4^{\circ}=\frac{4000}{x} \\ \\ x=\frac{4000}{\tan 5.4^{\circ}} \\ \\ x \approx 42315.6\)

The initial amount of beef that she had is given as follows:

1.875 pounds.

The initial amount of beef is obtained applying the proportions in the context of the problem.

Summer used 2/5 of her ground beef to make burgers, hence the proportional relationship representing the initial amount n is given as follows:

2n/5.

She used 3/4 pounds of beef, hence the equation to obtain the total amount is given as follows:

2n/5 = 3/4.

Then the total amount is obtained as follows, applying cross multiplication:

8n = 15

n = 15/8.

n = 1.875 pounds.

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The number of those games won in that season are: 22 games

Percentage is defined a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. It is given by:

Percentage = (value / total value) * 100%

We are given:

Total number of games played through the season = 40 games

Percentage of games won = 40%

Thus:

Number of games won = 40% * 55

= 22

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Answer:

Step-by-step explanation:

We can use the Pythagorean Theorem to find the height of the cylinder

We have

height  = √ [ 5^2 - 2^2 ]  = √[25 - 4]   =  √21  units

Answer:

12 years old

Step-by-step explanation:

Answer:

Step-by-step explanation:

The measure of the side length x in the right triangle is approximately 23.6 feet.

The figure in the image is a right triangle with one of its interior angle at 90 degrees.

Angle A = 29 degree

Adjacent to angle A = X

Hypotenuse = 27 ft

To solve for the missing side length x, we use the trigonometric ratio.

Note that: cosine = adjacent / hypotenuse

Hence:

cos( A ) = adjacent / hypotenuse

Plug in the given values and solve for x.

cos( 29° ) = x / 27

Cross multiplying, we get:

x =  cos( 29° ) × 27

x = 23.6 ft

Therefore, the value of x is approximately 23.6 feet.

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Equation is true for one x and that x = 23/2

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Find x.

9(x - 2) = 7x + 5

Distribute x

9x - 18 = 7x + 5

9x - 7x = 5 + 18

2x = 23

x = 23/2

Equation is true for one x and that x = 23/2

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