If f(x) is a third degree polynomial function and g(x) = f(2x), which of the following must be true?
A f(x) and g(x) have the same x-intercepts.
B f(x) and g(x)have the same y-intercepts.

Answer:

50000

Step-by-step explanation:

The 12+5x² Leading Coefficient is 5, the [tex]2p^{2} +4p^{4} -5[/tex] Leading Coefficient is 4. and The -5y³ Leading Coefficient is -5

What is polynomial function?

A polynomial function is a function in an equation, such as the quadratic equation or the cubic equation, that only uses non-negative integer powers or only positive integer exponents of a variable.

Solution:

1) 12+5x²

2) [tex]2p^{2} +4p^{4} -5[/tex]

3) -5y³

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You can send the blood sample size to a certified laboratory for testing. The laboratory will provide official results that can be reported on the IHC. State and federal animal health departments and veterinary diagnostic laboratories are usually certified to provide this service.

To obtain official results for a negative test for equine infectious anemia (EIA) for an international event, you can send the blood sample to a certified laboratory for testing. You should contact your state or federal animal health department or a veterinary diagnostic laboratory to find a certified laboratory in your area. The laboratory will test the blood sample and provide the official results to be reported on the international health certificate (IHC). It is important to make sure you use a certified laboratory for the testing in order to ensure the results are accurate and can be accepted for the international event.

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Answer:

z > 1 1/3

Step-by-step explanation:

See picture

If the degree on x in the denominator is larger than the degree on x a bigger leading exponent than the polynomial in the numerator.

After then the graph to the value found by dividing the leading coefficients of the two polynomials.

To find horizontal asymptotes:

1.  If the degree (the largest exponent) of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x-axis (y = 0).

2.  If the degree of the numerator is bigger than the denominator, there is no horizontal asymptote.

3. Rational functions (a polynomial divided by a polynomial) and exponential functions have horizontal asymptotes.

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The rate at which the speed of the wind changes at the 50th mile is 258.114 miles per hour

From the question, we have the following parameters that can be used in our computation:

Function: S(d) = 86log d + 112

Express the above function properly

So, we have the following representation

S(d) = 86log(d) + 112

From the question, we have:

Distance = 50th mile.

This means that

d = 50

Substitute the known values in the above equation, so, we have the following representation

S(50) = 86log(50) + 112

Evaluate the logarithm

So, we have the following representation

S(50) = 86 * 1.699 + 112

Evaluate the products

S(50) = 146.114 + 112

Lastly, we have

S(50) = 258.114

Hence, the speed is 258.114 miles per hour

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The smallest sample in the following list that meets the requirements for using a normal model to depict the sampling distribution is 0.0349.

A standard deviation (or) is a measure of how widely distributed the data is in reference to the mean. A low standard deviation suggests that data is grouped around the mean, whereas a large standard deviation shows that data is more spread out. Statisticians have concluded that numbers with a margin of error of no more than 2 SD reflect measures that are closer to the real value than those with a margin of error more than 2SD. As a result, most QC procedures mandate that remedial action be taken for data points that consistently fall outside of the 2SD range.

Here,

Probability that students surveyed rarely or never use academic advising services = 32% = 0.32

In reality, students rarely or never use academic advising services at their college = 42% = 0.42

Sample size, n = 200

The sampling distribution of sample proportion will be approximately normal with mean.

therefore,

Mean, = p

= 0.42

now, the standard deviation is given using the formula

on substituting the respective values, we get

= √0.001218

= 0.0349

The smallest sample in the list below that will satisfy the conditions for the use of a normal model to represent the sampling distribution is 0.0349.

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Answer:

No, the building manager cannot purchase only one material. The maximum amount he can spend is $250, and 200 square feet of gravel would cost $400, which is more than the budget allows. Similarly, 200 square feet of mulch would cost only $50, which is far less than the budget allows.

Step-by-step explanation:

Answer:

20.50 < 13 + .75n; 10 < n

Step-by-step explanation:

First let us set up 2 equations to represent how much these payment methods are giving per hour:

f(n) = 20.50

g(n) = 13 + .75n

We want to find where f(n) < g(n):

20.50 < 13 + .75n → subtract 13

7.50 < .75n  → divide by .75

10 < n

Thus, we would need to produce more than 10 units per hour to get the second option to be more profitable

The power of the lens is 2.5D

The focal length of 40 cm and a diameter of 5.0 cm.

Optical power (also referred to as dioptric power, refractive power, focusing power, or convergence power) is the degree to which a lens, mirror, or other optical system converges or diverges light. It is equal to the reciprocal of the focal length of the device: P = 1/f.

Power of lens = 1 / focal length (in meters)

For a thin lens in air, the focal length is the distance from the center of the lens to the principal foci (or focal points) of the lens. For a converging lens (for example a convex lens), the focal length is positive and is the distance at which a beam of collimated light will be focused to a single spot.

we have focal length 40cm (.4 m)

so

Converging lenses have positive optical power, while diverging lenses have negative power.

Power of lens = 1/0.4 m

=2.5 D  [The unit of Power of lens is Dioptre]

Therefore, the power of the lens that has a focal length and a diameter of 5.0 cm is 2.5D

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The total number of lay-ups in 14 baskets is 10

In fourteen baskets

From the question, we have the following parameters that can be used in our computation:

Lay-ups = 5 out of 7 baskets

This means that

Lay-ups = 5/7 baskets

When the number of baskets is 14, we have

Lay-ups = 5/7 * 14

Evaluate

Lay-ups = 10

In one hundred forty baskets

From the question, we have the following parameters that can be used in our computation:

Lay-ups = 5 out of 7 baskets

This means that

Lay-ups = 5/7 baskets

When the number of baskets is 140, we have

Lay-ups = 5/7 * 140

Evaluate

Lay-ups = 100

Here, we have

Lay-ups = 20

Recall that

Lay-ups = 5/7 baskets

So, we have

Baskets = 7/5 lay-ups

This gives

Baskets = 7/5 * 20

Evaluate

Baskets = 28

Hence, the number of baskets is 28

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As per the rule of function, the relation ​(4,4), (5,6),​ (6,8), (6,10),​ (7,12) is a function.

The term relation in math referred as the relationship between two or more set of values.

Here we have to find in which of the given relation is a function.

As we all know that the function is a relation which describes that there should be only one output for each input or we can say that a special kind of relation (a set of ordered pairs),

Therefore, the rule of the function states that every X-value should be associated with only one y-value is called a function.

As per this rule we have identified the following relation is one that said to be the function

=> ​(4,4), (5,6),​ (6,8), (6,10),​ (7,12)

Therefore, option (D) is correct.

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The equation of line j is x + 3y -13 = 0 which is perpendicular to line k.

How does one point slope?

Line k is perpendicular to line j

m(j) = - m(k)

m(j) = -(1/3)

One slope one point formula:

y - y₁ = m( x - x₁ )

y - 4 = -(1/3)(x - 1)

3y - 12 = -x + 1

x + 3y -13 = 0

Hence, The equation of line j is x + 3y -13 = 0 which is perpendicular to line k.

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The correct option is (a) significant.

a(n) significant difference is due to some systematic influence and not due to chance.

Significant: Having or likely to have influence or effect : important. a significant piece of legislation also of a noticeably or measurably large amount. a significant number of layoffs.

Insignificant: small or unimportant

null: Lacking meaning or having no value

serendipitous: come upon or found by accident

As per the question the suitable answer is option (a).

Therefore, the correct answer is Significant

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A(n) significant difference is due to some systematic influence and not due to chance. Choose one answer.

a. significant b. insignificant c. null d. serendipitous

The sequence of steps you provided is generally correct for training a perceptron, although there are some additional steps that might be included in the process depending on the specific implementation.

Here is a more complete list of steps that might be followed in training a perceptron:

It's important to note that the specific details of how the perceptron is trained will depend on the specific implementation, such as the optimization algorithm used to update the weights, the size of the training dataset, and the number of epochs (iterations) of training.

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Answer:

25 and 37

Step-by-step explanation:

x+y=62

y-x=12

 +x. +x

y=12+x

x+(12+x)=62

2x+12=62

   -12. -12

2x=50

/2. /2

x=25

25 is one of the numbers

y-25=12

+25 +25

y=37

hopes this helps

The new coordinates of each of the triangle coordinates are;

1) A'(-12, 6), B'(3, 9), C'(-9, 18)

2) A'(-2, 1), B'(1/2, 3/2), C'(-3/2, 3)

3) X'(-8, 2), Y'(2, 14), Z'(8, 8)

4) X'(-1, 1/4), Y'(1/4, 7/4), Z'(1, 1)

5) A'(-8, 4), B'(2, 6), C'(-6, 12)

6) X'(-4/3, 1/3), Y'(1/3, 7/3), Z'(4/3, 4/3)

7) X'(-20, 5), Y'(5, 35), Z'(20, 20)

8) A'(-1, 1/2), B'(1/4, 3/4), C'(-3/4, 3/2)

Dilation is defined as a type of transformation where an image size either increases or decreases but then has the same shape as the original one. Thus, we will just multiply each coordinate by the scale factor;

We are given the coordinates of both triangles as;

Triangle ABC = A(-4, 2), B(1, 3), C(-3, 6)

Triangle XYZ = X(-4, 1), Y(1, 7), Z(4, 4)

1) Dilate triangle ABC by a scale factor of 3 means we multiply each ABC coordinate by 3 to get;

A'(-12, 6), B'(3, 9), C'(-9, 18)

2) Dilate triangle ABC by a scale factor of 1/2 means we multiply each ABC coordinate by 1/2 to get;

A'(-2, 1), B'(1/2, 3/2), C'(-3/2, 3)

3) Dilate triangle XYZ by a scale factor of 2 means we multiply each XYZ coordinate by 2 to get;

X'(-8, 2), Y'(2, 14), Z'(8, 8)

4) Dilate triangle XYZ by a scale factor of 1/4 means we multiply each XYZ coordinate by 1/4 to get;

X'(-1, 1/4), Y'(1/4, 7/4), Z'(1, 1)

5) Dilate triangle ABC by a scale factor of 2 means we multiply each ABC coordinate by 2 to get;

A'(-8, 4), B'(2, 6), C'(-6, 12)

6) Dilate triangle XYZ by a scale factor of 1/3 means we multiply each XYZ coordinate by 1/3 to get;

X'(-4/3, 1/3), Y'(1/3, 7/3), Z'(4/3, 4/3)

7) Dilate triangle XYZ by a scale factor of 5 means we multiply each XYZ coordinate by 5 to get;

X'(-20, 5), Y'(5, 35), Z'(20, 20)

8) Dilate triangle ABC by a scale factor of 1/4 means we multiply each ABC coordinate by 1/4 to get;

A'(-1, 1/2), B'(1/4, 3/4), C'(-3/4, 3/2)

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The rate of change of the height of the top of the ladder above the ground at the instant when the base of the ladder is 30 ft. from the base of the building is -3 ft./min.

The rate of change of the height of the top of the ladder above the ground at the instant when the base of the ladder is 30 ft. from the base of the building is -3 ft./min. This rate takes into account the fact that the ladder is slipping at a rate of 3 ft./min. As the base of the ladder is slipping away from the building, the top of the ladder is moving down, hence the negative rate of change. This rate of change will remain the same until the base of the ladder has slipped the full 50 ft. from the base of the building. At this point, the rate of the change of the height of the top of the ladder will be 0, since the ladder will no longer be slipping.

The rate of change can be calculated as follows:

Rate of change = Change in height / Change in time

Change in height = Initial height - Final height

Initial height = 50 ft.

Final height = 50 ft. - 30 ft. = 20 ft.

Change in time = 30 ft. / 3 ft./min. = 10 min.

Rate of change = (50 ft. - 20 ft.) / 10 min. = -3 ft./min.

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Let x be the number of miles the driver still has to travel.

The driver traveled 120 + 120/4 + 120/42/3 = 120 + 30 + 40 = 190 miles.

So the remaining distance is x + 190 = 55 + 1 2/3 * x

Multiplying both sides by 3/2 gives 3/2x + 3/2190 = 3/255 + 3/2*x + x

This simplifies to x = 190.

Therefore, the driver still has to travel 190 miles.

Equation of the line is y = -3x + 7.

Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines.

Suppose the line's equation is y=mx + c, where m and c are unknowns.

Since it is parallel to the equation y = -3x + 4 and -3x - y = -4, its slope is now -3. So m = -3.

Additionally, point  (1,4). Therefore, this should be satisfied by our line's equation.

Consequently, 4 = -3(1) + c

therefore c = 7

The line's equation changes to y = -3x + 7.

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The unknown number from the given phrase is 2.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, four and a half times a number increased by 4 equal to three and half times the number increased by 6.

Let the unknown number be x.

Now,

Four and a half times a number increased by 4

[tex]4\frac{1}{2}x+4[/tex]

Three and half times the number increased by 6

[tex]3\frac{1}{2}x+6[/tex]

Here, [tex]4\frac{1}{2}x+4[/tex]=[tex]3\frac{1}{2}x+6[/tex]

9/2x+4=7/2x+6

9/2x-7/2x=6-4

2/2x=2

x=2

Therefore, the unknown number is 2.

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The expression 63.56 (-81.47) is equivalent to 63.56 - 81.47.

Option (A) is correct.

What is subtraction?

Subtraction is an arithmetic operation that involves finding the difference between two numbers. In mathematics, subtraction is represented by the minus sign (-).

To find the value of 63.56 (-81.47), we need to perform the arithmetic operation of subtraction. In this case, 63.56 is the minuend and -81.47 is the subtrahend.

The expression 63.56 (-81.47) is equivalent to 63.56 + (-81.47), which is equal to

The result of this subtraction is -17.91.

Hence, the expression 63.56 (-81.47) is equivalent to 63.56 - 81.47.

Option (A) is correct.

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The bakery sold total 200 cupcake in that day.

The word percent means per hundred and percent value of a quantity refers to the hundred parts of that quantity. Percent value is expressed by sign %.

In order to determine a percent value of a quantity, we divide the quantity by the total quantity and finally the resultant value is multiplied by 100.

In the other hand, when we need to calculate total quantity from a percentage value, we multiply the specific quantity by 100 and finally the resultant is divided by the percentage value.

Given, Number of cupcakes sold at a specific time =26 which was 13 percent of total number of cupcakes sold in that day.

Therefore, number of total cupcakes sold in that day = 26× 100/13 =200

    the total number is 200

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Answer:

x=10

Step-by-step explanation:

Answer:

86.13

Step-by-step explanation:

area of Triangle: ½ × height × base = ½ ×6×6= 18 cm

area of Rectangle: length × width= 6×9 = 54 cm

area of circle= π × (radius)² then...

area of Half-circle = [π×(radius)²] ÷2 = [3.14×(6/2)²] ÷2 = 14.13 cm

The Area of this figure= 18 + 54 + 14.13 = 86.13 cm

Answer:

[tex]A = 86.13[/tex]

Step-by-step explanation:

In order to find the area of the given figure

We need to divide the figure Into the following shapes

Firstly,

A triangle

Rectangle

Semi Circle

Area of a triangle + Area of a rectangle +  Area of a semi circle = Area of the whole figure

So lets find the area of the figures

Area of Triangle = [tex]\frac{1}{2}[/tex]X[tex]6[/tex]X[tex]6[/tex]

= [tex]18[/tex]

Area of a rectangle = [tex]l[/tex]x[tex]b[/tex]

= [tex]9[/tex]x[tex]6[/tex]=[tex]54[/tex]

Area of a semi circle = [tex]\frac{1}{2}\pi r^{2}[/tex]

= [tex]\frac{1}{2} X \frac{22}{7} X(3)^{2}[/tex]

= [tex]14.13[/tex]

[tex]A = 18 + 54 + 14.13[/tex]

[tex]A = 86.13[/tex]

The total area of the geometry will be 86.13 square units.

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The correct option is (0, 0), is the only viable solutions for the number of books and total weight of the books.

For the stated question;

We may create an equation that describes the relationship between the number of books with their net weight if b stands in for the total weight. The formula can be

b = 6w

Therefore, the number of books as well as the total weight will be represented by the (0,0) ordered pair that solves the above equation.

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The complete question is-

Mr. Hann is trying to decide how many new copies of a book to order for his students. Each book weighs 6 ounces. Which ordered pair is a viable solution if x represents the number of books he orders and y represents the total weight of the books, in ounces? (–3, –18) (–0.5, –3) (0, 0) (0.5, 3)

Answer:

C. 0,0

Step-by-step explanation:

Answer:

9.42cm

Step-by-step explanation:

according to fig :

diameter (d) =3cm so ,

radius (r) = d/2 =3/2 = 1.5cm

solution:

as we know that ,

circumference of a circle = 2πr

=2×3.14×1.5

=9.42 cm

Answer:

21.98 cm

Step-by-step explanation:

The circumference formula is [tex]2\pi r[/tex] which can be expressed as [tex]\pi d[/tex], where r is radius and d is the diameter length.

Since we know the diameter is 3 cm, that means we can plug in that value for d and get [tex]7 \pi[/tex] as the circumference

However, the question tells us to use 3.14 for [tex]\pi[/tex], so we must find the value of [tex]7 * 3.14[/tex]. By doing mental math or by using a calculator we can find this value to be 21.98.

Thus, the circumference of the circle is 21.98 cm

(-7,-2) is the point which is two-sevenths of the distance from a(-9, 2) to b(-2, -12).

since the unknown point m divides line joining a(-9,2) and b(-2,-12) in a given ratio of 2:5 as it is given one point is at distance of 2/7 of distance between point a and b so, the other point must be at a distance of 5/7 and hence the ratio in which it divides itself is 2:5

   a_______________m_________________________b

           2                        :                5

in the above figure it is shown clearly that m divides line joining point a and point b in the ratio of 2:5

let (x,y) be cordinate of point  m

[tex](x_1 , y_1)[/tex] be the point a

[tex](x_2 , y_2)[/tex] be point b

m:n =2:5

m=2 ,n=5

so applying section formula

   x= [tex]\frac{mx_2+nx_1}{m+n}[/tex]  

   => x = (2* -2 + 5 *-9) / (5+ 2)

   => x = - 49/7 = -7

   y= [tex]\frac{my_2+ny_1}{m+n}[/tex]  

 => y = (2* -12+5 *2)/(5+2)

 => y =  -2

  so the point m is (-7,-2) is the required answer of the question

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An output of a causal system is that whose inputs are just the past and the present. The outcome of a noncausal system depends on the upcoming inputs.

We will examine the connection between output as well as inputs to determine whether the provided system is causal or not.

Thus, there isn't a single example of an ontologically non-causal system, or one of a truly fundamental nature about which we can be sure, that we are aware of.

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