the midsegment of ABC is LM what is the length of AL if LB is 20 inches long?
a. 10
b. 40
c. 20
d. 30

a) The number of turning points of the function is 3.
b) The end behavior of the function is that as x approaches positive infinity.
c) The potential real zeros of the function are the factors of the constant term, 8. These are ±1, ±2, ±4, and ±8.
d) Using Descartes' Rule of Signs, there are 3 sign changes in the polynomial, so there can be 3 or 1 positive real zeros.
e) Using synthetic division and the potential real zeros, we can find that the rational zeros are -2 and 4.
f) The graph of the function is shown below with the turning points and zeros labeled.

The number of turning points of the function is 3. because the degree of the polynomial is 4 and the number of turning points is one less than the degree.

f(x) approaches positive infinity and as x approaches negative infinity, f(x) approaches negative infinity. This is because the leading coefficient is positive and the degree is even.

There are 2 sign changes in the polynomial with the x values replaced with -x, so there can be 2 or 0 negative real zeros.

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the main answer is that the mean value of the activity time is 21.67. This is calculated using the formula (optimistic + 4 * most likely + pessimistic) / 6.

To find the mean value of the activity time, we can use the three estimates provided: optimistic, most likely, and pessimistic time.

1. The optimistic time is the shortest possible time for completing the activity, which is 11 units.
2. The most likely time is the time that is most likely to be taken to complete the activity, which is 21 units.
3. The pessimistic time is the longest possible time for completing the activity, which is 35 units.

To calculate the mean value, we can use the following formula:
Mean value = (optimistic + 4 * most likely + pessimistic) / 6

Substituting the given values, we get:
Mean value = (11 + 4 * 21 + 35) / 6

Calculating the numerator first:
11 + 4 * 21 + 35 = 11 + 84 + 35 = 130

Now, we can calculate the mean value:
Mean value = 130 / 6

Dividing 130 by 6, we get:
Mean value = 21.67 (rounded to two decimal places)

Therefore, the mean value of the activity time is 21.67.

the main answer is that the mean value of the activity time is 21.67. This is calculated using the formula (optimistic + 4 * most likely + pessimistic) / 6.

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Triangles are said to be congruent if two of their sides and the included angle are the same as their corresponding sides and angles of another triangle.

When determining if a set of triangles is congruent, the Side-Angle-Side rule is utilized. According to the SAS rule, triangles are congruent if their two sides and included angles are the same as those of another triangle.

If two sides and an included angle of one triangle are equal to the sides and an included angle of the second triangle .

Then two triangles are said to be congruent according to the SAS. According to SAS theorem of congruence, two triangles are congruent if the corresponding two sides and their included angles in one triangle .

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Answer:

Step-by-step explanation:

The expression for depreciation is

V=C(1-r)^t ,

where V is the value of the car after t years,

C is the original cost, and

r the rate of depreciation. If a car

given

C=$36000

r=17%= 0.17

t in years 64/12= 5.33years

Substituting to the formula we have

V=36000(1-0.17)^5.33

V=36000(0.83)^5.33

V=36000*0.370

V=13,320

the value will be $13,320

Answer:

City B

Step-by-step explanation:

Because it is the only one that makes sense.

Answer:

40

Step-by-step explanation:

80/2= 40

Answer:

(1,-8)

Step-by-step explanation:

this is be because a rectangle is parralel so opposite ends will have equal sides,  if you were to graph this, there would be a missing point in the spot (1,-8).  

Answer:

(1,-8)

Step-by-step explanation:

Each of the set of points; (-7,8) and (-7,-8) is reflecting over either the x or y-axis. So therefore the second set of points would be (1,8) and (1,-8).

In terms of relative growth rate Exponential growth is characterized by a constant relative growth rate.

Exponential growth is the process of increasing quantity over time. Occurs when the instantaneous rate of change of a quantity over time is proportional to the quantity itself. The exponential growth model has the form

y (t) = C eᵏᵗ, where k is the rate constant.

Relative Growth Rate:Relative growth rate (RGR) is the rate of growth relative to size. That is, the rate of growth per unit time relative to the size at that point in time and y'(t)/y(t) is the relative growth rate of a function y at time t.

1/y dy/dt = 1/y d(C eᵏᵗ)/dt

= 1/y(kC eᵏᵗ)

= 1/y ( ky) ( since, y (t) = C eᵏᵗ)

= k

Therefore a constant relative growth rate.

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Complete question:

In terms of relative growth rate, what is the defining property of exponential growth? Choose the correct answer below.

A. The relative growth rate at time t is the slope of the exponential function at time t.

B. dy dt If y represents a population, then the relative growth rate can be represented by dy/dt

C. The relative growth rate is proportional to the size of the population

D. The relative growth rate is constant.

Answer:

One hundred three million seven hundred twenty-seven thousand four hundred and ninety-five

Step-by-step explanation:

103,000,000 = One hundred three million

103,727,000 = One hundred three million seven hundred twenty-seven thousand

103,727,495 = One hundred three million seven hundred twenty-seven thousand four hundred and ninety-five

I hope this answer helps you! (I also hope I understood your answer properly and got the answer that you needed :D)

Answer:

A. Census

Step-by-step explanation:

You would simply ask ALL of the employees at your workplace as to whether or not they visit the dentist for regular check-ups. Thus, it is a census.

The type of study which will be the best help the company discover this information is survey sample, the correct option is B

Sample space is the set of all possible outcome the considered random experiment can result to.

Thus, suppose we toss a coin, then tossing a coin is a random experiment, and the  sample space is {'head', 'tail'}. We ignore other outcomes like slant coin, or standing coin by assuming that coin is very thin to stand and always falls down.

We are given that;

The number of its employees who go to the dentist.

Now,

A census involves collecting data from every individual in a population, which can be time-consuming, expensive, and may not be feasible for a large company with a large number of employees.

An observational study involves observing individuals and collecting data without intervening or manipulating any variables. This type of study may not provide information about the number of employees who visit the dentist for regular checkups since it does not involve asking individuals directly about their behavior.

An experiment involves manipulating one or more variables to observe the effect on another variable. This type of study may not be appropriate for studying employee behavior related to dentist visits since it may not be ethical or practical to manipulate employees' behavior in this way.

A survey sample, on the other hand, involves selecting a subset of employees and asking them directly about their behavior related to dentist visits. This can be an effective and efficient way to gather information about the number of employees who visit the dentist for regular checkups.

Therefore, by sample space the answer will be survey sample.

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Answer:

5.05*10³

Step-by-step explanation:

Answer:

(4 , - 35)

Step-by-step explanation:

X²-8x-19 =(x-4)² -35

y = a (x-h)² + k    a=1   , (h , k) -> (4 , - 35)

The building is 19.078 feet tall.

Given:

A 20-foot ladder is leaning against a building in order to reach the roof. the foot of the ladder is 6 feet from the building.

Let x be the building height.

here it forms a right angled triangle,

ladder length (hypotenuse) = 20 feet.

base length = 6 feet

According to pythagorean theorem,

\(hypotenuse^{2} = side^{2} +side^{2}\)

\(20^{2} =6^{2} +x^{2}\)

400 = 36 + \(x^{2}\)

\(x^{2}\) = 400 - 36

\(x^{2}\) = 364

x = \(\sqrt{364}\)

x = 19.078 feet.

Therefore the height of the building is 19.078 feet.

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According to the question, the solutions to the equation by factoring x³ - 5x² = 36x are x = 0, x = 9, and x = -4.

The equation to solve is x³ - 5x² = 36x.

To find the solutions, we can rearrange the equation and set it equal to zero:

x³ - 5x² - 36x

= 0.

Next, we factor out the common factor x:

x(x² - 5x - 36)

= 0.

Now, we need to factor the quadratic expression inside the parentheses, x² - 5x - 36. We are looking for two numbers that multiply to -36 and add up to -5. These numbers are -9 and 4.

Therefore, we can rewrite the equation as:

x(x - 9)(x + 4)

= 0.

Setting each factor equal to zero, we have:

x = 0, x - 9 = 0, x + 4 = 0.

Solving these equations, we find:

x = 0, x = 9, x = -4.

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Answer:

B. 20 meters per second

Step-by-step explanation:

The car is going 400 meters in 20 seconds, let's simplify that!

STEP 1

400/20=20

( / stands for division)

For an easier understanding way, here:

There will be a picture attached to this answer, look at that for understanding better!

STEP 2

Now, to understand a bit better, the 400 gets divided into 20 by 20 times, and the 20 gets divided into 20   1 time. So, there fore.....

FINAL ANSWER:

We get the answer that if a car is moving 400 meters per 20 seconds, that means it is moving 20 meters per one second.

Thank You! Please Mark me Brainliest!

Have a great day studying!

Answer:

just put out + from the question.

Given functions \(g(x)=1/√x and p(x)=x^2 - 4,\) to state the domains of the following functions using interval notation:

\(Domain of g(x)/p(x) and Domain of g(p(x)).\)

Domain of g(x)/p(x):

We have to find the domain of the function g(x)/p(x).

For that, we need to consider the following points:

If

x = 0,

the denominator becomes zero and the function is undefined.

x ≠ 0.

The value under the square root in g(x) cannot be negative.

Hence,

x > 0.

Hence,

\(x^2 - 4 ≥ 0 ⇒ x^2 ≥ 4 ⇒ x ≤ −2 or x ≥ 2\)

the domain of g(p(x)) is.

\([−∞, −2] ∪ [2, ∞).\)

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Answer:

pretty sure its d

Step-by-step explanation:

Because a has spread out dots and b has them all towered and neat so d

Answer:

D.)

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x-2*y-(27)=0

STEP1:

Equation of a Straight Line

1.1 Solve 3x-2y-27 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-2y-27 = 0 and calculate its properties

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 27/-2 so this line "cuts" the y axis at y=-13.50000

y-intercept = 27/-2 = -13.50000

Calculate the X-Intercept :

When y = 0 the value of x is 9/1 Our line therefore "cuts" the x axis at x= 9.00000

x-intercept = 27/3 = 9

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -13.500 and for x=2.000, the value of y is -10.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -10.500 - (-13.500) = 3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 3.000/2.000 = 1.500

Geometric figure: Straight Line

From the polar coordinates, the integrate value of f(x,y), f( x,y) = 2xy ; x,y ≥ 0, x² + y² = 25 over D using polar coordinates is equals to the \( \frac{625}{4}\). The sketch of D is in attached figure.

The equation of a circumference in rectangular coordinates and origin as centre is x² +y² =R² , where R is the radius of the circumference. In polar coordinates, x² + y² = ρ, ρ is the polar radius. We have function f( x,y) = 2xy ; x,y ≥ 0, x² + y² = 25. It is an equation of a circle with radius 5 centered at the origin, however, since x and y must both be greater than or equal to 0, the region D is restricted to the portion of the circle in the first quadrant. So, the sketch of D is present in attached figure.

Now, we convert the cylindrical coordinates, r will span from 0 to 5 and θ will span from 0 to π/2. The integrand, f(x,y) = 2xy then f(r, θ) = 2(r sin(θ))(r cos(θ)) = 2r²sin(θ)cos(θ) = r²sin(2θ) and the double integral is \(\int_{0}^{\frac{π}{2}}\int_{0}^{5} r³sin(2θ)drdθ\)

\(= \int_{0}^{\frac{π}{2}}[\frac{ r⁴}{4}sin(2θ)]_{0}^{5}dθ\)

\(= \int_{0}^{\frac{π}{2}}[\frac{5⁴}{4}sin(2θ)]dθ\)

\(= \frac{5⁴}{4}[\frac{ -cos(2θ)}{2}]_{0}^{\frac{π}{2}}\)

\(= -\frac{5⁴}{8}[ cos(π) - cos(0°)]\)

\(= - \frac{5⁴}{8}[ -1 - 1 ]\)

\(= \frac{625}{4}\)

Hence, required value is \( \frac{625}{4}\).

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Answer:

Undefined

Step-by-step explanation:

As you try to evaluate the expression, the denominator shows a proplem.-3+3 is equal to 0. So the expression is 2/0. The problem is, dividing anything by zero is undefined. This means that the entire expression is undefined.

Answer:

10 and 6

Step-by-step explanation:

Let A be the area of the rectangle, w the width and L the length

● A = w*L

The length is 4 feet more that the width so L = w+4

● A = w ×(w+4)

● A = w^2 + 4w

The area is 60 ft^2

● w^2 + 4w = 60

Substract 60 from both sides

● w^2 + 4w - 60 = 0

This a quadratic equation

We will solve it by graphing it

The solution are 6 and -10 since the graph intersect with the x-axis in those points (pictures below)

The width is 6 feet long since it is a distance and a distance is always positive.

● w = 6

● L = w + 4

● L = 6 + 4

● L = 10

The width is 6 feet and the length is 10 feet

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Answer:

740%

Step-by-step explanation:

Answer:

Arithmetic Sequence

\(T_n = 240-60n\) ---- Explicit

\(T_n = T_{n-1} - 60\) --- Recursive

Geometric Sequence

\(T_n = 270* (\frac{2}{3})^n\) ---- Explicit

\(T_n = T_{n-1} * \frac{2}{3}\) ---- Recursive

Step-by-step explanation:

Given

\(180, 120,....\)

(a) Assume it is an arithmetic sequence

The explicit formula is calculated using:

\(T_n = a + (n - 1)d\)

Where

\(a = 180\)

\(d = 120 - 180\)

\(d = -60\)

So, we have:

\(T_n = 180 + (n - 1)*-60\)

\(T_n = 180 -60n + 60\)

Rewrite

\(T_n = 180 + 60-60n\)

\(T_n = 240-60n\)

The recursive function is calculated using:

\(T_1 = 180\)

\(T_2 = 120 = 180 - 60 = T_1 - 60\)

\(T_3 = 60 = 120 - 60 = T_2 -60\)

-

\(T_n = T_{n-1} - 60\)

(b) Assume it is a geometric sequence

The explicit formula is calculated using:

\(T_n = ar^{n-1}\)

Where

\(a = 180\)

\(r = \frac{120}{180}\)

\(r = \frac{2}{3}\)

So, we have:

\(T_n = 180 * (\frac{2}{3})^{n-1}\)

Split

\(T_n = 180 * (\frac{2}{3})^n \div (\frac{2}{3})^1\)

\(T_n = 180 * (\frac{2}{3})^n \div (\frac{2}{3})\)

Rewrite as:

\(T_n = 180 * (\frac{2}{3})^n * (\frac{3}{2})\)

\(T_n = 180 * (\frac{3}{2})* (\frac{2}{3})^n\)

\(T_n = 180 * \frac{3}{2}* (\frac{2}{3})^n\)

\(T_n = 90 * 3* (\frac{2}{3})^n\)

\(T_n = 270* (\frac{2}{3})^n\)

The recursive function is calculated using:

\(T_1 = 180\)

\(T_2 = 120 = 180 * \frac{2}{3} = T_1 * \frac{2}{3}\)

\(T_3 = 80 = 120 * \frac{2}{3} = T_2 * \frac{2}{3}\)

-

\(T_n = T_{n-1} * \frac{2}{3}\)

Answer:

Answer:

your answer is 12

Step-by-step explanation:

Base 7 Area 42

Using the formula

A= hb over 2

Solving for hb

hb=2A

b=2·42

7=12

hope this is not to confusing but the answer is 12.

The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.

The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`

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The number of paths will be 1248072.

You must move 24 times, up 13 times, and right 11 times.

Consider placing a 13 up and 11 right order.

24 objects can be ordered in 24 different ways.

Both the sequence of the ups and the sequence of the rights are irrelevant.

Because there are 13 possible orders for the ups, you must divide by 13.

Because there are 11 different ways to number rights, you must also divide by 11.

So, The number of paths = 24! / (13! × 11!) = 1248072.

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