solve the inequality 31< 3x+4

Answer:

\(n = 7\)

Step-by-step explanation:

Divide ambos lados de la ecuación por 8:

\(8n + \div 8 = 56 \div 8\)

Cualquier expresión dividida por sí misma es igual a 1.

\(n = 56 \div 8\)

Calcula el cociente.

\(n = 7\)

Ecuación dada,

8n = 56

Para encontrar el valor de 'n' term

\(8n = 56 \\ \\ = > n = \frac{56}{8} \\ \\ = > n = \cancel \frac{56}{8} \\ \\ = > n = 7\)

Yes, the tangent constraint can be applied between a line and an arc in many CAD (Computer-Aided Design) software programs.

In CAD, a tangent constraint is a geometric constraint that forces two entities (lines, arcs, circles, etc.) to share a common tangent at their point of contact. When you apply a tangent constraint between a line and an arc, the software will ensure that the line and the arc are always tangent to each other at their point of intersection.

This constraint is useful for designing mechanical components, such as gears or cams, where you need to ensure that the contact between two parts is smooth and continuous. It is also commonly used in architecture, where a building's curved surfaces may need to be tangent to adjacent straight lines or walls.

In short, the tangent constraint can be applied between a line and an arc, and it is a useful tool in many different fields of design.

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The local maximum point is (-2, f(-2)) and the local minimum point is (1, f(1)) for the function f(x) = 2x³ + 3x² - 12x + 3

The local maximum and minimum points of the function f(x) = 2x ³+ 3x² - 12x + 3, we need to follow these steps:

Find the first derivative of f(x): f'(x) = 6x² + 6x - 12

Find the critical points by setting f'(x) = 0 and solving for x:

6x² + 6x - 12 = 0

Simplifying the equation:

x² + x - 2 = 0

Factoring the quadratic equation:

(x - 1)(x + 2) = 0

Therefore, the critical points are x = 1 and x = -2.

The second derivative of f(x): f''(x) = 12x + 6

Evaluate the second derivative at each critical point:

f''(1) = 12(1) + 6 = 18

f''(-2) = 12(-2) + 6 = -18

Since f''(1) > 0, the point x = 1 corresponds to a local minimum.

Since f''(-2) < 0, the point x = -2 corresponds to a local maximum.

Therefore, the local maximum point is (-2, f(-2)) and the local minimum point is (1, f(1)) for the function f(x) = 2x³ + 3x² - 12x + 3.

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Answer: 18 inches

Step-by-step explanation:

2 x 6 = 12 inches (wide)

3 x 6 = 18 inches (tall)

Answer: ∠ABC

Step-by-step explanation:

Nature tends to repeat itself, and that means periodic phenomenon is found in many places. One example would be a heart beating. It repeats itself over and over to pump blood throughout the body. The period of the heartbeat varies, so it's not going to be one specific number.

One online source I found states "It beats or contracts about 70 times per minute". So that would make the period 60/70 = 0.86 seconds approximately. Every 0.86 seconds or so, the heart completes a full cycle. This is when the person is at rest and not doing any strenuous physical activity (in which case, the period would be much shorter).

Another biological example would be the act of breathing. This is also dependent on if the person is at rest or if they're doing some physical activity such as jogging.

As for an example that's outside the personal element, you could go for something like the motion of the tides. These periodic events are due to the position of the moon, which is also a periodic phenomenon. More broadly, the motion of the planets overall is periodic. However, there may be slight changes here and there as time goes on due to imperfections.

Periodic phenomena has to do with an event that repeats itself.

The term periodic phenomena has to do with an event that repeats itself. This repetition must follow a well defined pattern and the time in between the occurrence of the phenomena is called the period.

Two common examples of periodic periodic phenomenon are;

1) Day and light

2) The dropping of water from a closing tap.

The former is quite popular and the period of the phenomenon is 24 hours. In the later case, the period may range a little above five seconds or below.

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Answer:

$13.52

Step-by-step explanation:

Since we know the tax rate is 6%, we can multiply by 12.75*6/100 to get how much the tax would be added to the total. We get 0.765. And now we add 0.765 and 12.75 to get 13.515. Since it's asking to round to the nearest cent, we get $13.52

Answer:

y = - \(\frac{5}{4}\) x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here slope m = - \(\frac{5}{4}\) , then

y = - \(\frac{5}{4}\) x + c ← is the partial equation

to find c substitute (- 4, 3 ) into the partial equation

3 = - \(\frac{5}{4}\) (- 4) + c = 5 + c ( subtract 5 from both sides )

- 2 = c

y = - \(\frac{5}{4}\) x - 2 ← equation of line

The percentage of companies that use video ads in the sample is the statistic.

Here, the concern is to estimate the percentage of companies that use video ads.

He took a sample of 125 companies to inquire whether or not they use video ads.

So, the percentage of companies that use video ads in the sample is the statistic.

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No, the given relation is not a function. An association between items of two sets—the domain and the codomain—is known as a binary relation.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

A binary connection in mathematics links elements of one set, referred to as the domain, with elements of another set, referred to as the codomain. A new set of ordered pairs made up of elements from sets X and Y and x in X is known as a binary relation across these sets.

Al-Biruni and Sharaf al-Din al-Tusi, two Persian mathematicians, are responsible for the earliest documented treatment of the concept of function. Initially, functions represented the idealised relationship between two changing quantities.

Consider the given relation

{(0.3, 0.6), (0.4, 0.8), (0.3, 0.7), (0.5, 0.5)}

We need to check whether the given relation is function or not.

A relation is a function if there exist a unique value of y for each value of x.

In the given relation, for x=0.3 there exist more than one value of y.

y=0.6 at x=0.3

y=0.7 at x=0.3

For one input there exist more than one output. Therefore, the given relation is not a function.

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Answer:

1

Step-by-step explanation:

Plug in t = 12 in the expression

\(5-\frac{t}{3}=5-\frac{12}{3}\)    

         = 5 - 4/1

          = 5 - 4

           = 1

Answer:

\(\Huge \boxed{1}\)

Step-by-step explanation:

\(\displaystyle 5-\frac{t}{3}\)

The value of \(t\) in the expression is 12.

Replace the \(t\) variable with 12.

\(\displaystyle 5-\frac{12}{3}\)

Evaluate the expression.

\(5-4\)

\(1\)

Answer:

1 & 2

1 & 8

2 & 7

Step-by-step explanation:

Any two angles that add up to 180 degrees (aka a straight line) are supplementary angles.

Answer:

  18.8 inches

Step-by-step explanation:

You want the length of arc traveled by the tip of a 4" minute hand moving from 1:30 pm to 2:15 pm.

The time difference between 2:15 and 1:30 is 45 minutes, or 3/4 hour. The minute hand moves through an angle of 2π radians in 1 hour, so will move through an angle of (3/4)(2π) = 3/2π radians in 3/4 hour.

The length of an arc is given by the formula ...

  s = rθ

where r is the radius, and θ is the central angle in radians.

Here, we have r = 4 in, and θ = 3π/2. The arc length is ...

  s = (4 in)(3π/2) = 6π in ≈ 18.8496 in

The minute hand moves through an arc of about 18.8 inches from 1:30 to 2:15.

Answer:

61 c

Step-by-step explanation:

Circumference= 2πr = πd=3.14d

1*10 c+ 2*25 c+ 1*1 c = 61 c

We have the following:

Answer:

Suppose that a couple invested $50,000 in an account when their child was born, to prepare for the child's college education. If the average interest rate is 4.4% compounded annually, ( A ) Give an exponential model for the situation, and ( B ) Will the money be doubled by the time the child turns 18 years old?

( A ) First picture signifies the growth of money per year.

( B ) Yes, the money will be doubled as it's maturity would be $108,537.29.

a = p(1 + \frac{r}{n} ) {}^{nt}a=p(1+

n

r

)

nt

a = 50.000.00(1 + \frac{0.044}{1} ) {}^{(1)(18)}a=50.000.00(1+

1

0.044

)

(1)(18)

a = 50.000.00(1 + 0.044) {}^{(1)(18)}a=50.000.00(1+0.044)

(1)(18)

a = 50.000.00(1.044) {}^{(18)}a=50.000.00(1.044)

(18)

50,000.00 ( 2.17074583287910578440507440 it did not round off as the exact decimal is needed.

a = 108.537.29a=108.537.29

Step-by-step explanation:

Hope This Help you!!

The derivative of the given function f(x)= 3¹0g, (2x²+1) [4 In (sin ² x)] 1. log is 60x(2x² + 1)ln(sin²x) / (sin²x)(2x² + 1). We can use the product rule and the chain rule

Let's break down the function into its components and apply the rules step by step.

First, let's consider the function g(u) = 4ln(u). Applying the chain rule, the derivative of g with respect to u is g'(u) = 4/u.

Next, we have h(v) = sin²(v). The derivative of h with respect to v can be found using the chain rule: h'(v) = 2sin(v)cos(v).

Now, let's apply the product rule to the function f(x) = 3¹0g(2x² + 1)h(x). The product rule states that the derivative of a product of two functions is given by the first function times the derivative of the second function, plus the second function times the derivative of the first function.

Applying the product rule, the derivative of f(x) is:

f'(x) = 3¹0g'(2x² + 1)h(x) + 3¹0g(2x² + 1)h'(x)

Substituting the derivatives of g(u) and h(v) that we found earlier, we get:

f'(x) = 3¹0(4/(2x² + 1))h(x) + 3¹0g(2x² + 1)(2sin(x)cos(x))

Simplifying this expression, we have:

f'(x) = 12h(x)/(2x² + 1) + 6g(2x² + 1)sin(2x)

Finally, replacing h(x) and g(2x² + 1) with their original forms, we obtain:

f'(x) = 12sin²(x)/(2x² + 1) + 6ln(2x² + 1)sin(2x)

Hence, the derivative of f(x) is 60x(2x² + 1)ln(sin²x) / (sin²x)(2x² + 1).

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Answer:

Step-by-step explanation:

Answer:

B 25.2

Step-by-step explanation:

AB = AC - BC

= 51.8 - 26.6 = 25.2

Answer:

D. 1

Step-by-step explanation:

If you take any two points (x, y), the slope is found by taking the difference of the y-coordinates and dividing that by the difference of the x-coordinates.

Here, we actually are given 4 points of the form (x, y), so we can just arbitrarily choose any two. I'll just go with the first two: (-2, 0) and (1, 3).

The difference of the y-coordinates is:

3 - 0 = 3

The difference of the x-coordinates is:

1 - (-2) = 3

Dividing these gives:

3/3 = 1

The slope is thus 1, and the answer is D.

~ an aesthetics lover

Answer:

The answer is San Francisco.

Step-by-step explanation:

For New York City, when there 0 miles traveled the total cost is $2.50, where as in San Francisco it is $2.85.

As you can see San Francisco has a higher rate of ($2.85).

Hope that helps!

Answer:

answer is image

Step-by-step explanation:

When President Dwight Eisenhower ordered the Arkansas National Guard into service to enforce court orders to desegregate schools, it was an example of a) executive orders.

Executive orders are directives issued by the President of the United States that have the force of law. They are used to manage and govern the operations of the federal government. In this case, President Eisenhower used his executive authority to deploy the Arkansas National Guard to enforce the desegregation of schools as mandated by the courts.

The Supreme Court's landmark decision in Brown v. Board of Education in 1954 declared that segregation in public schools was unconstitutional. However, resistance to desegregation persisted in some areas of the country, including Arkansas. To ensure compliance with the court's ruling, President Eisenhower exercised his executive power and deployed the National Guard to Little Rock, Arkansas, to protect and enforce the rights of African American students seeking to attend previously all-white schools.

Therefore, President Eisenhower's action of ordering the Arkansas National Guard to enforce court orders to desegregate schools falls under the category of a) executive orders, as he used his executive authority to implement a policy decision.

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Answer:

Step-by-step explanation:

CD should be a perpendicular line to CB.

Angle of incidence = Angle of reflection:

Angle ACD = Angle EAC

Let the perpendicular intersection point from A to side be G

The two right-angled triangles, CDG and CAG, are similar by AAA.

So DG/AG = CD/CA

46/18 = CD/CA

CD+CA = 96-50 = 46

CA = 46-CD

46/18 = CD/(46-CD)

46*46 - 46CD = 18CD

64CD = 46*46

CD = 33.06 = 33in

Answer:

Step-by-step explanation:

let distance between C n hole B be x

triangle CBE is similar to triange formed by the cue ball and the nearest pt on the upper bumper.

DE / BC = cue ball to bumper / C to bumper

46/x = 18/(46-x)

46*46 - 46x = 18x

64x = 2116

x = 33in

Answer:

prt

Step-by-step explanation:

18000(1.035)=18639

Answer:

18639

Step-by-step explanation:

i may be wrong tho

Answer:

34/8-16/3-14/9

Step-by-step explanation:

Answer:

C2 because 40+40+25 equals 105 not 110

Answer:

A single number that estimates the value of an unknown parameter is called a point estimate.

Step-by-step explanation:

Don't see the point (haha) of elaborating

If z = xy⁷ − x²y, x = t² + 1, y = t² − 1, then using chain rule the value of dz/dt = 2t(y⁷ + xy⁶(dy/dx) - 2xy - x²(dy/dx)) + 2t(xy⁷ + 7xy⁶ - x²)

To find dz/dt using the chain rule, we need to differentiate z with respect to t while considering the relationship between z, x, y, and t.

Given:

z = xy⁷ − x²y

x = t² + 1

y = t² − 1

We can start by finding dz/dx and dz/dy separately and then use the chain rule to combine them to find dz/dt.

First, let's find dz/dx:

Differentiating z with respect to x, keeping y constant:

dz/dx = (d/dx)(xy⁷) - (d/dx)(x²y)

Using the product rule for differentiation:

dz/dx = y⁷ + xy⁶(dy/dx) - 2xy - x²(dy/dx)

Next, let's find dz/dy:

Differentiating z with respect to y, keeping x constant:

dz/dy = (d/dy)(xy⁷) - (d/dy)(x²y)

Using the product rule again:

dz/dy = x(y⁷ + 7y⁶(dy/dy)) - x²

Since dy/dy = 1, we can simplify dz/dy as:

dz/dy = xy⁷ + 7xy⁶ - x²

Now, let's use the chain rule to find dz/dt:

dz/dt = (dz/dx)(dx/dt) + (dz/dy)(dy/dt)

Substituting the expressions we found earlier for dz/dx and dz/dy, and using dx/dt = 2t and dy/dt = 2t:

dz/dt = (y⁷ + xy⁶(dy/dx) - 2xy - x²(dy/dx))(2t) + (xy⁷ + 7xy⁶ - x²)(2t)

Simplifying this expression gives us dz/dt in terms of t, x, and y:

dz/dt = 2t(y⁷ + xy⁶(dy/dx) - 2xy - x²(dy/dx)) + 2t(xy⁷ + 7xy⁶ - x²)

This is the complete calculation for finding dz/dt using the chain rule.

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Complete question is:

Use the chain rule to find dz/dt. z = xy⁷ − x²y, x = t² + 1, y = t² − 1