2x° + 14°
60°
X=
degrees.

Answer:

no one of them has to be 90 degrees

Step-by-step explanation:

Answer:

no it doesnt

Step-by-step explanation:

Answer:

607 students

Step-by-step explanation:

To solve this question means we have to use Pigenhole principle which states that if y number of items are put into z number of containers, with y > z, then it means that that at least one container must definitely contain more than one item.

Now, let's find the number of boxes and objects:

If possible scores are from 0 to 100 with both inclusive it means number of possible scores = 101.

Now, If there was only one professor grading the students, in order to ensure that that there are two students with the same professor who earned the same final examination score,

The number of students would have to be = 101 + 1 = 102 students

Meanwhile, for each student, since there are 6 professors, the possible combination for a score will be = 6 possible combinations.

Therefore, number of students that will guarantee that there are two students with the same professor who earned the same final examination score must be a minimum of: (6 × 101) + 1 = 607

Answer: 24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

For the least common denominator, we have to find the smallest number that all fo them multiply to.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26

3, 6, 9, 12, 15, 18, 21, 24, 27, 30

8, 16, 24, 32

i think we can see something

24 is the most common number between them all, so the fractions will be

12/24 (1/2), 16/24 (2/3), and 9/24 (3/8)

Answer:

y = 500x + 5000

Step-by-step explanation:

Answer:

In no case will there be a modification greater than 5%, thus, it cannot be inferred that the voter support will change in the next election.

Step-by-step explanation:

Given that four parties participated in 2018 Provincial election in Ontario; PC, NDP, Liberal, Green party, and PC captured 40% of the vote, NDP 30%, Liberal 25%, and the Green party 5%, and the survey of 1000 voters asked each to identify the party that they would vote for in the next election, and its results were PC = 415, NDP = 256, Liberal = 271, and Green party = 58, to determine if it can be inferred at 5% level of significance that the voter support is going to change in the next election the following calculations must be performed:

PC = 40 - (415/1000 x 100) = 40 - 41.5 = -1.5

NDP = 30 - (256/1000 x 100) = 30 - 25.6 = 4.4

Liberal = 25 - (271/1000 x 100) = 25 - 27.1 = -2.1

Green Party = 5 - (58/1000 x 100) = 5 - 5.8 = -0.8

Therefore, as can be seen, in no case will there be a modification greater than 5%, thus, it cannot be inferred that the voter support will change in the next election.

The value limx→∞g(x) is zero option (c) is correct.

The differential equation involves the function and its derivative to represent a relationship between the functions and their derivative. In simple words, the differential equation is the mathematical relation that consists of one or more functions with its derivative.

We have a differential equation:

[tex]\rm \frac{dy}{dx} =y^2(4-y^2)[/tex]

[tex]\rm\frac{dy}{y^2(4-y^2)} = dx[/tex]   (rearranging the equation to solve)

[tex]\int \rm\frac{dy}{y^2(4-y^2)} = \int dx[/tex]

[tex]\rm \frac{ln(|y+2|)}{16} -\frac{1}{4y} -\frac{ln(|y-2|)}{16} = x+c[/tex]    (after integrating both sides)

For the given initial condition g(-2) = -1

When x = -2, y = -1

[tex]\rm \frac{ln(|-1+2|)}{16} -\frac{1}{4(-1)} -\frac{ln(|-1-2|)}{16} = -2+c[/tex]

[tex]\rm \frac{1}{4} -\frac{ln(|-3|)}{16}+2 = c[/tex]

The value of c = 2.18

The equation we get:

[tex]\rm \frac{ln(|y+2|)}{16} -\frac{1}{4y} -\frac{ln(|y-2|)}{16} = x+2.18[/tex]

As we can see the value of g(-2) is negative and from the graph of the above equation it goes to infinity and it touches the x-axis at the infinity.

The value   [tex]\displaystyle \lim_{x \to \infty}g(x)[/tex] when x reaches infinity the value of function g(x) becomes zero. ie.

[tex]\displaystyle \lim_{x \to \infty}g(x) =0[/tex]

Thus, the value  [tex]\displaystyle \lim_{x \to \infty}g(x)[/tex] is zero option (c) is correct.

Learn more about the differential equation here:

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9514 1404 393

Answer:

  11.9

Step-by-step explanation:

The tangent relation tells you ...

  tan(32°) = x/19

  x = 19·tan(32°)

  x ≈ 11.9

Answer:

TRUE

Step-by-step explanation:

Answer:

In one gallon, there are four quarts. 1 quart is 0.5 pints.  1 cup is 0.25 quartz

Step-by-Step:

Use those measurements to convert gallons into cups and find your expression.

Answer:

-3/8

Step-by-step explanation:

nothing can be simplified further

Answer:

The width is 14ft

Step-by-step explanation:

Given

[tex]Fence = 78[/tex]

[tex]Length = 25[/tex]

Required

Determine the width

To do this, we assume that the fence is a rectangle

So, we use the following formula.

[tex]Perimeter = 2 * [Length + Width}[/tex]

Where:

[tex]Perimeter = Fence = 78[/tex]

So, we have:

[tex]78= 2 * [25 + Width}[/tex]

Divide both sides by 2

[tex]39= 25 + Width[/tex]

Solve for Width

[tex]Width = 39 - 25[/tex]

[tex]Width = 14[/tex]

Answer:

200(1.10^1)

Step-by-step explanation:

Answer:

{a,b,c,d,f,3,4,5,7}

Step-by-step explanation:

If X={a,b,c,3,4,5}

Y={b,d,f,3,5,7}

THEREFORE {XUY}= {a,b,c,d,f,3,4,5,7}

XUY represents the union of sets X and Yas {a, b, c, d, f, 3, 4, 5, 7}.

A set is defined as a group of objects in mathematics. Set names and symbols begin with a capital letter. According to set theory, a set's constituent parts can be included in anything.

The sets are given in the question, as follows:

X = {a,b,c,3,4,5}

Y = {b,d,f,3,5,7}

We have to determine the members of the set XUY, using set braces.

As per the question, the required solution would be as:

XUY = {a, b, c, d, f, 3, 4, 5, 7}

XUY represents the union of sets X and Y, which contains all elements that are in set X or set Y, or in both. Since none of the elements in set X or set Y are repeated, all of the elements in set X and set Y are included in the union without duplication.

Learn more about set theory here:

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#SPJ2

Answer:

y= -1/4x

Step-by-step explanation:

Answer:

Step-by-step explanation:

y= -1/4x

Answer:

h(x)=4

Step-by-step explanation:

h(x)=−2x+10

h(x)=−2(3)+10

=-6+10

=4

Answer:

1/2

Step-by-step explanation:

The slope can be found by looking at the Rise over run or in other words how ever much it moves up over how much it move right.

Answer:

[tex]12^-^2[/tex]

Step-by-step explanation:

I hope this helps.

Answer: 35%

Step-by-step explanation:

20 bars

7 unshaded - not installed

7/20 = 0.35 = 35%

Answer:

1 : Hypotenuse leg (HL)

2: Angle side angle (ASA)

3: Side angle side (SAS)

Step-by-step explanation:

Given

See attachment for triangles

Required

Determine the congruence postulate

Figure (1):

From the attachment;

[tex]AC = BD[/tex] --- The hypotenuse

[tex]CB = CB[/tex] --- One other leg

Since the hypotenuse and one other leg of both triangles are congruent, then the postulate is: HL

Figure (2):

From the attachment, we have:

[tex]150^\circ = 150^\circ[/tex] --- Angle

[tex]15^\circ = 15^\circ[/tex] ---- Angle

The horizontal line that divides both triangles show that they have a congruent side.

Hence, the postulate is: ASA

Figure (3):

From the attachment, we have:

A pair of single marks (Side)

A pair of double marks (Side)

A pair of equal angles

Hence, the postulate is: SAS

Answer:

the answer is 12 inches long

Answer:

put six on the place of x..

Step-by-step explanation:

So 6+4 =10 Answer

hope it helps

Answer:

10 inches

Step-by-step explanation:

r=(3V

4π)⅓=(3·4186

4·π)⅓≈9.99778in

Answer:

wouldnt she have 1

Step-by-step explanation:

well there might be a typo with and of a cup of flour but ya

I think it would be one

Answer:

r = 7.33 units

Step-by-step explanation:

Given that,

A cylinder has a radius of r units, and that the height of the cylinder is also r units.

The lateral area of the cylinder is 338 square units.

We need to find the value of r.

The formula for the lateral area of the cylinder is given by :

[tex]A=2\pi rh[/tex]

Put all the values,

[tex]2\pi r^2=338\\\\r=\sqrt{\dfrac{338}{2\pi}} \\\\r=7.33\ unit[/tex]

So, the value of r is equal to 7.33 units.