integers between -15 and -13​

Answer:

160

Step-by-step explanation:

How many 3/16 are in 30.

30 ÷ 3/16

160

Answer:

Step-by-step explanation:

\(Sum \:of\:angles = 360\° \\\\1/3x\° +(x-20)\° +(x-10)\° +40\° = 360\°\\\\1/3x\° +x\°-20+x\°-10+40=360\°\\\mathrm{Group\:like\:terms}\\\frac{1}{3}x\°+x\°+x\°-20-10+40=360\°\\\\\mathrm{Add\:similar\:elements:}\:x+x=2x\\\frac{1}{3}x\°+2x\°-20-10+40=360\°\\\\\mathrm{Add/Subtract\:the\:numbers:}\:-20-10+40=10\\\frac{1}{3}x\°+2x\°+10=360\°\\\\\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}\\\frac{1}{3}x\°+2x\°+10-10=360\°-10\\\\\frac{1}{3}x\°+2x\°=350\°\\\)

\(\mathrm{Multiply\:both\:sides\:by\:}3\\\frac{1}{3}x\°\times \:3+2x\times \:3=350\° \times \:3\\Simplify\\x+6x=1050\°\\\\7x=1050\\\\\frac{7x}{7}=\frac{1050\°}{7}\\\\x =150\°\)

Answer:

50°

Step-by-step explanation:

The blue lines form a Right-angled triangle.

*Such triangles have one angle equal to 90°.*

*Property*

Sum of all angles in a triangle = 180°

To find :

Value of x – an angle of the right-angled triangle.

Solution:

==> 90 + 40 + x = 180

==> 130 + x = 180

isolating x

==> x = 180 - 130

==> x = 50°

The clearinghouse and research middle on servant management is now called c. The Greenleaf Center for Servant Leadership.

The middle turned into named after Robert K. Greenleaf, who first brought the idea of servant leadership in his essay "The Servant as Leader" published in 1970. The Greenleaf Center for Servant Leadership serves as a worldwide useful resource for promoting the knowledge and exercise of servant leadership.

It conducts studies, provides educational applications, and gives a platform for individuals and businesses to study and interact with servant management ideas. The middle's recognition is on nurturing moral and compassionate management that prioritizes the nicely-being and growth of individuals and the groups they serve. Through its initiatives, the Greenleaf Center pursuits to inspire and empower leaders to create a superb and impactful exchange by embracing the servant management philosophy.

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The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership.

The clearinghouse and research center on servant leadership is called The Greenleaf Center for Servant Leadership. It is a nonprofit organization that was founded in 1964 by Robert K. Greenleaf. The center is dedicated to promoting the principles of servant leadership, which emphasizes serving others and putting their needs first.

The Greenleaf Center conducts research, provides resources and training, and serves as a hub for individuals and organizations interested in servant leadership.

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A story that can be represented using the equation y=x+1/5x is "John has an apple and he cut another apple into 5 equal parts and took on part. What's the rural fraction of apple that he has?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

In this case, if John has an apple and he cut another apple into 5 equal parts and took on part.

This can be illustrated as:

y = x + 1/5x

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We have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

To apply the Intermediate Value Theorem to the polynomial function f(x) = x^3 - x - 4 and show that it has a real zero between the integers 1 and 7, we need to verify that f(1) and f(7) have opposite signs.

Let's evaluate f(1) and f(7) to determine their signs:

f(1) = (1)^3 - (1) - 4 = 1 - 1 - 4 = -4

f(7) = (7)^3 - (7) - 4 = 343 - 7 - 4 = 332

From the calculations, we can see that f(1) = -4 and f(7) = 332.

Since f(1) is negative (-4) and f(7) is positive (332), they have opposite signs.

According to the Intermediate Value Theorem, if a continuous function changes sign between two points, then it must have at least one real zero between those points.

Since f(1) = -4 (negative) and f(7) = 332 (positive), the polynomial function f(x) = x^3 - x - 4 must have a real zero between the integers 1 and 7.

Therefore, we have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

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Answer:

40 tickets for each class

Step-by-step explanation:

Answer:

Grocery Giant has the better price for the pineapple.

Step-by-step explanation:

Superway Store

3 cans of pineapple is 2.25

Grocery Giant

6 cans of pineapple is 4.80

Superway Store 6 cans is 2.25 + 2.25 = 4.50

Which means that Superway Store is cheaper by 30 cents

Step-by-step explanation:

ps||pr are parallel

pQR=Rsp

Answer:

Mode

Step-by-step explanation:

The median and mean can only have one value for a given data set. The mode can have more than one value

Answer:

Step-by-step explanation:

Answer: srry if im wrong but i think it is Answer:1.A ____ is like a recipe for a chemical substance. (valence, formula, subscript, coefficient)

Step-by-step explanation:

Answer:

a is correct

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because -4 4/5 is FAR below 4 2/5

According to the graph, the range, which is the set of values that y can take, comes from negative infinite and stops at approximately 2. It means that y will always be greater than negative infinite but less than 2, this represented as inequation is:

Using Z-table ,

the required probability that their mean total body protein is between 12.2 and 12.4 kg is 0.691..

We have given that,

The sample is Normal distribution,

the mean of sample(X-bar,) = 12.3 kg

standard deviations of sample(sigma) = 0.4 kg

sample size(n) = 4

confidence interval= (12.2, 12.4)

we have to find the probability that mean body protein is between 12.2 and 12.4 kg

Using the confidence interval formula, for finding the value of Z-value ,

C.I = X-bar +- Z(s/√n)

put all avaliabile values we get,

12.2 = 12.3 + Z(0.4/√4) = 12.3 + Z(0.2)

=> Z = - 0.5

or 12.4 = 12.3 + Z(0.2)

=> Z = 0.1/0.2 = 1/2 = 0.5

so, -0.5 < Z< 0.5

now , using the z-value we can easily calculate the value of p i.e. probability

Use the Z-table , we get p -value is 0.691

Hence , probability that their mean total body protein is between 12.2 and 12.4 kg is 0.691

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Answer:

132.

Step-by-step explanation:

There are a total of 12 entries.

A total of 12 people can be awarded first place. After first place has been awarded, there are 11 people remaining.

\(12*11 = 132.\)

Therefore, there is a total of 132 different ways the prizes can be given.

Answer:

15

Step-by-step explanation:

If he sold 12 glasses of lemonade yesterday then 25% more is 1/4 more. 1/4 of 12 is 3. Add 3 to 12 and you get 15.

The quadrilateral is a parallelogram so it is Yes.

If a quadrilateral has a pair of parallel opposite sides, it’s a special polygon called parallelogram .The properties of a parallelogram are as follows:

The opposite sides are parallel and equal

The opposite angles are equal

The consecutive or adjacent angles are supplementary

If any one of the angles is a right angle, then all the other angles will be at right angle.

The quadrilateral is a parallelogram since the adjacent interior angles 75° and 105° are supplementary meaning they sum up to 180°

In conclusion, yes, the figure is a parallelogram.

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Answer:

0.5

Step-by-step explanation:

0.472    look at the digit to the RIGHT of the 10ths place if it is >=5   round the 10ths up one    ....    o/w leave it as is

0.472 = 0.5   rounded to nearest tenth

Answer:0.5

Step-by-step explanation: Find the number in the tenth place 4 and look one place to the right for the rounding digit 7. Round up if this number is greater than or equal to 5 and round down if it is less than 5.0.472 = 0.5

Answer:

y  =  2 x  +  9

Step-by-step explanation:

(*￣3￣)╭

Answer:

Here is the answer

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

Answer:

C. 63

Step-by-step explanation:

Answer:

$8.40

Step-by-step explanation:

Answer:

$11.20

Step-by-step explanation:

$0.70 x 5 = $3.50

$59.50 - $3.50 = $56.00

$56.00/5 = $11.20

By using the fact that the sum of the interior angles of a triangle must be 180°, we will get:

Remember that the sum of the internal angles of a triangle is always equal to 180°, then we can write:

m∠B + m∠C + m∠D = 180°

Then:

13x - 35 + 5x - 19 + 2x + 14 =180

20x -40 = 180

20x = 180 + 40

20x = 220

x = 220/20

x = 11

Now that we know the value of x, we can find the measures of the angles.

m∠B = (13x- 35)° = (13*11 - 35)° = 108°

m∠B = (5x - 19)° = (5*11 - 19)° = 36°

m∠D = (2x + 14)° = (2*11 + 14)° = 36°

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Trevor and Kim will be situated 21 kilometers apart from each other at 1:30 PM. They will be separated by a distance of 21 km when the clock strikes 1:30 in the afternoon.

To determine at what time Trevor and Kim will be 21 km apart, we can set up a distance-time equation based on their relative speeds and distances.

Let's assume that t represents the time elapsed in hours since noon. At time t, Trevor would have traveled a distance of 8t km, while Kim would have traveled a distance of 6t km in the opposite direction.

Since they are running in opposite directions, the total distance between them is the sum of the distances they have traveled:

Total distance = 8t + 6t

We want to find the time when this total distance equals 21 km:

8t + 6t = 21

Combining like terms, we have:

14t = 21

To solve for t, we divide both sides of the equation by 14:

t = 21 / 14

Simplifying, we find:

t = 3 / 2

So, they will be 21 km apart after 3/2 hours, which is equivalent to 1 hour and 30 minutes.

Therefore, Trevor and Kim will be 21 km apart at 1:30 PM.

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Answer:

0.1875

Step-by-step explanation:

To determine the coordinates of the first class for a frequency polygon, we need to consider the range of lead times observed in the sample and how we want to group the data.

The first class for a frequency polygon represents the lowest range of lead times. To determine this range, we can look at the minimum and maximum lead times in the sample and decide on an appropriate interval size.

For example, if the minimum lead time observed is 1 day and the maximum lead time observed is 10 days, and we choose an interval size of 2 days, the first class would start at 1 day and end at 3 days.

The coordinates of the first class for the frequency polygon would be represented as (1, 3), where the first number represents the lower limit of the first class (1 day) and the second number represents the upper limit of the first class (3 days).

It's important to note that the specific choice of interval size and starting point for the first class can vary depending on the data and the analysis goals. Therefore, the coordinates of the first class may differ based on the specific context of the study.

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Answer:

Step-by-step explanation:

\(b=4\dfrac{3}{10}=\dfrac{43}{10}\\\\\\h=3\dfrac{1}{3}=\dfrac{10}{3}\\\\\\Area = \dfrac{1}{2}*b*h\\\\\\=\dfrac{1}{2}*\dfrac{43}{10}*\dfrac{10}{3}\\\\=\dfrac{43}{6}\\\\\\=7\dfrac{1}{6}\)

Let's first find the normal vector of the plane, which is the coefficients of x, y, and z in the plane equation.

Normal vector N = <3, -5, 1>

Now we need a vector that starts from the plane and ends at the point (1, 1, 1). This vector is given by:

V = <x-1, y-1, z-1>

We want to find the projection of V onto the normal vector N, which is given by:

projN V = ((V · N) / ||N||^2) N

where · denotes the dot product and ||N|| is the length of N.

Using this formula, we can find the projection of V onto N:

projN V = ((<x-1, y-1, z-1> · <3, -5, 1>) / (3^2 + (-5)^2 + 1^2)) <3, -5, 1>

= ((3x - 3 - 5y + 5 + z - 1) / 35) <3, -5, 1>

= ((3x - 5y + z + 1) / 35) <3, -5, 1>

The point on the plane that is closest to (1, 1, 1) is the one that we get by subtracting the projection from (1, 1, 1):

P = (1, 1, 1) - projN V

= (1, 1, 1) - ((3x - 5y + z + 1) / 35) <3, -5, 1>

= (1 - (9x - 15y + 3z + 3) / 35, 1 + (15x - 25y + 5z + 5) / 35, 1 - (3x - 5y + z + 1) / 35)

To check that this point is indeed on the plane, we substitute its coordinates into the plane equation:

3x – 5y +z = 3(1 - (9x - 15y + 3z + 3) / 35) – 5(1 + (15x - 25y + 5z + 5) / 35) + (1 - (3x - 5y + z + 1) / 35)

= 3/35 + 15/35 - 3/35 - 5/35 - 1/35 + x - 9/35 + 15/35 - 3/35 - 5/35 + y + 1/35 + 5/35 - z/35 - 1/35

= 0

So the point (x, y, z) = (9/35, -15/35, 3/35) on the plane is closest to (1, 1, 1).

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