Solve the equation 1/6(x-5) = 1/2(x+6)

When matched, the prompts on asymptotes would be:

The presence of a vertical asymptote at x=0 signifies that the cost of producing pills can never reach a value of 0, remaining persistently positive. Simultaneously, the horizontal asymptote at y=0 serves as a reassuring indication that the cost of producing pills cannot be negative, as it steadfastly remains at or above zero.

This crucial constraint ensures that the cost incurred in the pill production process is always a non-negative quantity. Consequently, the prompt related to the impossibility of negative costs aligns with this notion.

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Answer:

288

Step-by-step explanation:

To solve, we need to find the area of the four triangle sides and add that to the square base's area.

Area of triangle sides: base * height * 0.5

Area of square base: base * height

Substitute the values

8 * 14 * 0.5 = 56

There are four of these sides, so the area of all the triangles is 224.

The square base is 8 * 8, or 64

Add these two values together.

64 + 224 = 288

Thus, the answer is 288

A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241  option a) 0.025.

In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².

Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.

So in this case, we can write this as Z = (44 - 50) / 3 = -2

We have now obtained the standard score or standard deviation for the random variable X.

Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).

The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.

Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.

This probability represents the area under the standard normal distribution to the left of Z = -2.

To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.

Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.

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Conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.

       To graph the function g( x) = - f( x 4), we need to start with the graph of the function f( x) = | x| and  also apply the given  metamorphoses.  The function f( x) = | x| represents the absolute value function, which is a V- shaped graph symmetric with respect to the y- axis.  

First, we shift the graph of f( x) = | x| horizontally by 4 units to the left by replacing x with( x 4). This results in f( x 4).  Next, we multiply the entire function by-1, which reflects the graph vertically. This gives us- f( x 4).  Combining these  metamorphoses, we've the function g( x) = - f( x 4). To graph g( x), we can  compass a many points and  also draw the graph by connecting them.

Let's start with the original graph of f( x) = | x| and apply the  metamorphoses

For f( x)  x = -3,-2,-1, 0, 1, 2, 3  

f( x) =  3, 2, 1, 0, 1, 2, 3  For

g( x) = - f( x 4)  x = -7,-6,-5,-4,-3,-2,-1  

g( x) = -3,-2,-1, 0,-1,-2,-3

conniving these points and connecting them, we get a V- shaped graph that's reflected vertically and shifted 4 units to the left wing.

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Note that the table of budget is attached accordingly, and steps 1-4 have been completed. See the table.

4) Since the emergency fund for that month was $200, it means that they are in the short for $105. They can only affod it if they take from their savings.

5) they had a balance of $800 for the month. This is miscellaneous funds. They can make use of this for the trip to NASA. This way, they won't have to touch the savings or entertainment.

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Full Question:
See attached image.

Reflect

4. Analyze Relationships One month, the family must make an

emergency car repair for $305. Are they able to pay for it out of the

fixed emergency fund for that month? If not, how can they afford it?

5. The family wants to make a trip to Houston to visit the NASA Space

Center. What are some ways they can save without using all of the

allotted $160 for entertainment

Answer:

Is a obtuse triangle

Step-by-step explanation:

Answer:

  C.  The graph of g is the graph of f shifted 2 units down

Step-by-step explanation:

The transformation ...

  g(x) = f(x -h) +k

represents a translation h units right and k units up.

You have h=0 and k=-2, so the graph is shifted 0 units right and 2 units the opposite of up.

The graph of g is the graph of f shifted 2 units down.

Answer:

C

Step-by-step explanation:

I just took the test on edmentum

Answer:

A & C

Step-by-step explanation:

Option A: The variable described is binomial because we have a value of n for the experiment and a probability of success 0.5 due to the fact that we have only two possible outcomes, which satisfy the condition of chances of success and failure.

Option B: The variable described is not binomial because the outcome does not fall under the criteria of chances of success or failure of due to the fact that it's possible we have more than two criteria to classify the product.

Option C: The variable described is binomial because we have a definite value of n = 6 with a probability of success = 0.3. Thus, probability of failure will be 0.7 and so it fulfills the condition of success and failure.

Option D: The variable described is not binomial because we don't know if the 2 options are independent of each other.

Option E: Variable describes is not binomial because the cards are drawn without replacement. Also, each time that king is selected, the probability of another king being selected is not the same and for thus the variable is not a a binomial

Answer:

the 40th number in the pattern is 9

Answer:

48

Step-by-step explanation:

4*2*3 for the 4 flaps

2*4*3 for the 2 tops

(4*2*3) + (2*4*3) = 48

Answer:

52 square inches

Step-by-step explanation:

to find the surface area of a rectangular prism the formula is

S.A.=2(l*w+l*h+w*h)

2(4*3+4*2+3*2)

=52 square inches

here l is length w is width and h is height

Answer:

sorry for the points

Step-by

The number of local guests that visited the zoo on Saturday is given as follows:

600 local guests.

The number of guests is obtained applying the proportions in the context of the problem.

20% of the guests traveled from out of town, hence the percentage of local guests is given as follows:

100 - 20 = 80%.

Out of a total of 750 visitors, the number of local guests that visited the zoo on Saturday is obtained as follows:

0.8 x 750 = 600 local guests.

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2)

We have to find the value of

Factor the number 9.

According to radical rule,

Applying the radical rule to right hand side of equation (1),

Therefore, the correct expression is,

Answer:

the answer is the third one

Answer is 17.............................

Step-by-step explanation:

f(x)=x^2-4x-9

g(x)=-3x-5

so when f(g(x)) that x is a number

-3x-5 equals the number in f(x) so that x is -3x-5

f(-3x-5) and if f(x)=x^2-4x-9

then inserting in -3x-5 for x in f(x) and distrubute

(-3x-5)^2-4(-3x-5)-9

9x^2+42x+36

I hope that helps :)

Answer:

9x^2 + 42x + 16

Step-by-step explanation:

f(g(x))

Plug in the expression for g(x)

f(g(x)) = f(-3x - 5)

f(x) = x^2 - 4x - 9

For every x in f(x) replace it with -3x - 5

f(-3x - 5) = (-3x - 5)^2 - 4(-3x -5) -9

Expand

f(-3x - 5) =  (9x^2 + 30x + 25) + (12x + 20) - 9

Combine like terms

f(-3x - 5) = 9x^2 + 42x + 16

f(g(x)) = 9x^2 + 42x + 16

Answer:

x=0

2(3x+12x)

FACTORED ANSWER

2(15)x)

Step-by-step explanation:

Answer:

\(x = 0\)

Step-by-step explanation:

Factor 6x⋅2 out of 6x⋅2+24x.

\(6x \times (2(1 + 2)) = 0\)

Multiply 2 by 6.

\(12x(1 + 2) = 0\)

Add 1 and 2.

\(12x \times 3 = 0\)

multiply 3 by 12.

\(36x = 0\)

Divide each term by 36 and simplify.

\(x = 0\)

therefor, the answer is 0.

The graph of a parabola that opens to the right is determined by a function of x.

A vertical line at x = -3 cannot represent a function as it would have many different y-values as it rose in the vertical direction. A V-shaped graph that expands up also does not represent a function since there are only one x value and two different y values (one on each side of the V).

On the other hand, a parabola that expands to the right represents a function since there is a unique y-value for each unique x-value. The graph passes the vertical line test since no vertical line crosses it more than once. As a consequence, the graph of the parabola that widens to the right represents the function of x.

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Answer:

Step-by-step explanation:

I'm assuming that the barrel is in the shape of a cylinder..

Givens

r = 7

pi = 3.14

V = 2041.11

Formula

V = pi * r^2 * h

h = V / (pi * r^2)

Solution

h = 2041.11/(3.14 * 7^2)

H = 2014.11 / 153.86

H = 13.09

Therefore , the solution of the given problem of triangle comes out to be section J K's measure is 11 units.

Since a triangle has four or so more sections, it is a polygon. It has an easy rectangular form. Triangle ABC refers to a rectangle with edges A, B, and C. A single plane and cube are produced by Euclidean geometry when the sides are really not collinear. A triangle is a polygon if it has 3 components and three angles. Where a triangle's three edges come together are known as the corners. A triangle's sides add up to 180 degrees.

Here,

GJ = JI is known because J is the middle of segment GI. Similarly, we conclude that HK = KI because K is the center of section HI. Consequently, we can write:

HK = KI, GJ = JI.

Since J is the middle of GI and K is indeed the midpoint of HI, we also realize that GH = 2JK. With the provided formulas in place of GH as well as JK, we obtain:

=> -2x + 34 = 2(-6x + 47)

When we simplify and find x, we obtain:

=> -2x + 34 = -12x + 94

=> 10x = 60

=> x = 6

Now that we know how long section JK is,

JK = -6x + 47\s= -6(6) + 47\s= 11

Therefore, section J K's measure is 11 units.

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0.43 Option (B) is the correct answer.

The probability of a customer ordering both marinara and pesto sauces is 0.43.

We can use the inclusion-exclusion principle to find P(marinara and pesto):

P(marinara or pesto) = P(marinara) + P(pesto) - P(marinara and pesto)

We know that P(marinara or pesto) = 0.93 and P(marinara) = 0.74, and P(pesto) = 0.62. Substituting these values in the above equation, we get:

0.93 = 0.74 + 0.62 - P(marinara and pesto)

P(marinara and pesto) = 0.74 + 0.62 - 0.93

P(marinara and pesto) = 0.43

Probability is the measure of the likelihood or chance of an event occurring. It ranges from 0 (impossible) to 1 (certain). It is used to make predictions and decisions in various fields, including mathematics, statistics, physics, finance, and more.

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Answer:

13

Step-by-step explanation:

Take 18 minus 5 and the answer is 13.

Answer:

Step-by-step explanation:

\(V=\pi r^2h\)

V = 170 × 3.14 ×3² × 4 = 19,216.8 in³

Answer:

Let the number of chickens in the farm = x

Let the number of pigs in the farm = y

Number of legs of chickens = 2*x (since chickens have 2 legs)

Number of legs of pigs = 4*y (since pigs have 4 legs)

We are given that there are a total of 20 animals (pigs + chickens)

so, number of chickens + number of pigs = 20

x + y = 20

We are given that there is a total of 54 legs in the farm

so, legs of chickens + legs of pigs = 54

2x + 4y = 54

Solving for number of chickens and pigs:

from the question, we have deduced that:

x + y = 20

2x + 4y = 54

taking the value of x from the first equation and using it in the second equation

x = 20 - y

2(20-y) + 4y = 54

40 - 2y + 4y = 54

40 + 2y = 54

2y = 14

y = 7

Using this value of y in the first equation:

x + y  = 20

x + (7) = 20

x = 13

Therefore, there are 13 chickens and 7 pigs in the farm

In the given origami of the two dimensional figure , the value of angle 2 is 70° and the value of angle 1 is 110 °

Parallel lines are straight lines that do not intersect at any point in geometry.

Parallel planes are three-dimensional pathways that never intersect. Parallel curves do not touch or intersect and have a fixed minimum distance.

From the figure we can see that m∠1 = 4x-30 as they are vertically opposite angles.

Again m∠1 = 3x+5 as they are corresponding angles from the pair of parallel lines.

now let us solve the linear equation to calculate the value of x.

3x+5 = 4x-30

or, -x = -35

or, x = 35

Now

m∠1 = 3x+5 = 110

Therefore m∠2 = 180 -110 = 70 ( straight angle formed whose sum is 180)

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Answer:

(0, -4)

Step-by-step explanation:

because the y is the vertical line. (the one that is going up and down)

and it intercepts the blue line at (0, -4)

The coordinates of polygon A'B'C'D' after the rotation of 180º are given as follows:

A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).

The five more known rotation rules are given as follows:

The original coordinates for this problem are given as follows:

A(0,0), B(5,2), C(5,-5), D(0,-3).

Exchanging the sign of each of the coordinates, the coordinates after the rotation are given as follows:

A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).

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Answer: 11/35

Step-by-step explanation: