Type a digit that makes this statement true.

314,10__ is divisible by 10.

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:

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 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:

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 amount of time taken by each of 10 students in a class to complete an exam is an example of quantitative data.

Quantitative data is numerical data which can be used to measure and quantify a certain phenomenon. In this example, the amount of time taken by each of the 10 students in a class to complete an exam is a numerical value, and it can be used to measure and quantify the performance of the students in the exam. Thus, this is an example of quantitative data.

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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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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 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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The item Marco will buy more between frozen yogurt and frozen custard given his budget and cost of each item is frozen yogurt.

Hence, a 3-ounce cup of frozen yogurt cost less than a 3-ounce cup of frozen custard.

Therefore, Marco will buy more frozen yogurt than frozen custard because of the cheap price.

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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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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.

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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By solving for the number of employees, there were 70 employees at the party.

An equation is a mathematical statement that shows that two expressions are equal. An equation typically consists of two sides, with an equals sign (=) in between.

A linear equation is an equation in which the highest power of the variable is 1. In other words, a linear equation is an equation that can be written in the form:

ax + b = 0

where a and b are constants and x is the variable.

To find out how many employees attended the party, you can set up the following equation:

Number of employees * $30 per employee = $1000 for space + $850 for food + $250 for decorations

You can then solve for the number of employees by dividing both sides of the equation by $30 per employee:

Number of employees = ($1000 for space + $850 for food + $250 for decorations) / $30 per employee

= $2100 / $30

= 70 employees

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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 equation that represents one sixth of the number n is given as follows:

n/6.

The equation is a fraction of an amount. A fraction has the following format:

x/y.

In which:

One sixth is a fraction in which the numerator is one and the denominator is six, as follows:

1/6.

To obtain one six of a number n, the above fraction is multiplied by n, as follows:

n x 1/6.

When two fractions are multiplied, the numerators multiply themselves, as do the denominators, hence the product is given as follows:

n x 1/6 = n/6.

Hence the equation that represents one sixth of the number n is given as follows:

n/6.

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The equation that represents twenty-five is one-sixth of the number n is;

25 equals n over 6

We want to find the equation that represents twenty-five is one-sixth of the number n.

Now, to say that twenty-five is one-sixth of the number n simply means that twenty five is equal to one-sixth of the number n.

Expressing this algebraic statement as an algebraic expression gives us; 25 = ¹/₆n

So we can see that this represents the given algebraic statement and as such looking at the options, we can conclude that the correct one is Option A.

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Complete question is;

Which equation represents twenty-five is one-sixth of the number n?

25 equals n over 6

25 = 6n

6 = 25n

one sixth equals n over 25

[tex]Answer:\ \sqrt[12]{16^{11}}[/tex]

Step-by-step explanation:

[tex]\displaystyle\\16^\frac{1}{4} *16^\frac{2}{3}=\\\\16^{\frac{1}{4} +\frac{2}{3} }=\\\\16^\frac{1*3+2*4}{4*3} =\\\\16^\frac{3+8}{12}= \\\\16^\frac{11}{12}= \\\\\sqrt[12]{16^{11}}[/tex]

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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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 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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The value of a + c in the equation is -5

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

y = ax² + 5x + c

x- intercepts at 1 and 3

This means that

When x = 1 and 3, the value of y is 0

So, we have

When x = 1:

a(1)² + 5(1) + c = 0

a + 5 + c = 0

a + c = -5

When x = 3:

a(3)² + 5(3) + c = 0

9a + 15 + c = 0

9a + c = -15

So, we have

a + c = -5

9a + c = -15

Hence, the value of a + c is -5

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A line with a slope of 2 and a point at (4,3) satisfies the equation y = 2x - 5.

Two expressions joined by an equal sign form a mathematical statement known as an equation. An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.

In general, a straight line has the equation y = mx + c, where m denotes the gradient and y = c denotes the point at which the line intersects the y-axis. do s s., s. s s.. s... s.. A straight line with a gradient of m and an intercept of c on the y-axis has the equation y = mx + c.

Here,

given: slope of 2/3

the line that passes through the point (-3,4)

using formula

=>  y = mx + c.

=> (y-y') = m(x-x') + c

=> (y-4) = 2/3(x+3) + c

=> y = 2x - 5.

Thus equation comes out to be  y = 2x - 5..

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(-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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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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Step-by-step explanation:

a/b × c/d = (a×b)/(c×d)

so,

-4/9 × 11/12 = (-4×11) / (9×12) = -44/108 = -11/27

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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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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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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