In a poll of Mr. Briggs’s math class, 67% of the students say that math is their favorite academic subject. The editor of the school paper is in the class, and he wants to write an article for the paper saying that math is the most popular subject at the school. Explain why this is not a valid conclusion and suggest a way to gather better data to determine what subject is most popular.

Answer:

If I'm right, the answers should be 40.

Answer:

Step-by-step explanation:

Figure Interpretation:

m∠CBA + m∠CDE = 180

m∠BCA = (180-m∠CBA)/2

m∠DCE = (180-m∠CDE)/2

=======================

Then

m∠BCA + m∠DCE = (180-m∠CBA)/2 + (180-m∠CDE)/2

                                = [360-(m∠CBA+m∠CDE)]/2

                                = [360 - 180]/2

                                = 90

finally,

m∠ACE= 180 - (m∠BCA + m∠DCE)

             = 180 - 90

             = 90

The limit of the expression [tex]f(x) = \frac{x^2 - 12}{x^2 - 3}[/tex]a s x approaches 3 is -1/2

The expression is given as:

[tex]f(x) = \frac{x^2 - 12}{x^2 - 3}[/tex]

As the variable x approaches 3, the limit is represented as:

[tex]\lim_{x \to 3} f(x)[/tex]

So, we have:

[tex]\lim_{x \to 3} = \frac{3^2 - 12}{3^2 - 3}[/tex]

Evaluate the exponents

[tex]\lim_{x \to 3} = \frac{-3}{6}[/tex]

Evaluate the quotient

[tex]\lim_{x \to 3} = -\frac{1}{2}[/tex]

Hence, the limit of the expression as x approaches 3 is -1/2

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Answer:

B. 7/3

Step-by-step explanation:

Took the final test and this was the correct answer

Answer:

Linear

Step-by-step explanation:

X = X + 1

Y= Y *3

A table of data is linear if there is a constant average rate of change between all pairs of points

There is because X is being added one every time and Y is being multiplied by 3 every time.

Hope this helps!

The area of the kite will be C. 14 square units.

From the information given, on coordinate plane, kite w x y z has points (1, 1), (3, 4), (5, 1),

The area of the kite will be;

= 2(1/2 × 7 × 2)

= 2 ×7

= 14 units²

Therefore, the area of the kite will be 14 square units.

In conclusion, the correct option is C.

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Answer:

14 square units

Step-by-step explanation:

Answer:

75 more girls.

Explanation:-

Given:- Ratio of girls to boys = 5:3

And, the number of boys= 300

Let boys be 4x and girls be 5x

So, 4x = 300 (Given)

x = 300/4 = 75

Thus number of girls:- 5x = 5×75= 375 girls

now you take the 375 girls minus the 300 boys.

375-300 = 75 Girls more

~~~~-Hope this helped-~~~~

Answer:

The line should be a negative sloping line that looks something like this:

Answer: 128.7

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

you times it and you get the answer

The value of cot x/2 is √3/√5.

Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations.

given:

cos x=-1/4

sin x= √15/4

cosec x= 4/√15

and, cot x= -1/√15

Now, cot x/2= cosec x+ cot x

= 4/√15-1/√15

= 3/√15

= √3/√5

Hence, the value of cot x/2 is  √3/√5.

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Answer:

C. -18

I hope that this helped you.

Answer:

  C.  -18

Step-by-step explanation:

The value of the expression is found by substituting the given value for the variable and following the Order of Operations to evaluate it.

__

  [tex]\dfrac{2(4(6-t)^2+t-3(t+5))}{3}\qquad\text{given}\\\\=\dfrac{2(4(6-6)^2+6-3(6+5))}{3}=\dfrac{2(4(0^2)+6-3(11))}{3}=\dfrac{2(6-33)}{3}\\\\=\dfrac{2(-27)}{3}=\dfrac{-54}{3}=\boxed{-18}[/tex]

_____

Additional comment

In this instance, the Order of Operations can be shortcut a bit by factoring 3 from the numerator and denominator early in the evaluation.

  = 2(2 -11) = 2(-9) = -18

Answer:

b

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

WX < YW < XY

Step-by-step explanation:

Sum of all angles of triangle = 180

  114 + 53 + ∠y = 180

           167 + ∠Y = 180

                   ∠Y = 180 - 167

                  ∠Y = 13

The side opposite to smallest angle is shortest.

Angles in ascending order: ∠Y < ∠X < ∠W

Sides in ascending order: WX < YW < XY

Answer:

still don't get it

Step-by-step explanation:

but please write it in an understanding meaning

The ratio of the area of sector abc to the area of sector dbe is 4:3

The formula for calculating the area of a sector is expressed as:

A = r²Ф

where:

For the sector ABC

A1 = (2r)²β
A1 = 4r²β

For the sector DBE
A2 = (r)²3β
A2 = 3r²β

Take the ratios

Ratio= A1/A2
Ratio = 4r²β/3r²β
Ratio = 4/3

Hence the ratio of the area of sector abc to the area of sector dbe is 4:3

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Answer:

512

Step-by-step explanation:

or is the 4 4 a fraction? if it was a fraction, it is 32 bc 4 4 = 1.

Answer:

x=-1

Step-by-step explanation:

x+2-1=0

-1+2=1

1-1=0

y=0

Answer:

X = -2

Step-by-step explanation:

Y = | (-2) + 2 | - 1

Y = |0| - 1

y = -1

To find a certain part of the arc:

   ⇒ we find a fraction of the circumference

Based on the diagram and information given:

         ⇒ which spans 116 degrees of the entire 360 degrees the whole

             arc covers

Thus let's solve:

  [tex]Length_.of_.arc = (\frac{116}{360})*(2*\pi *14)[/tex] ≈ [tex]28.34_.meters[/tex]

Answer: 28.34 meters

Hope that helps!

Answer:

y = 4 - x / 2

Step-by-step explanation:

y = 2x - 4

x = 2y - 4

y = 4 - x

----------

2

Answer:

see the attachment!

i hope this can help you!

Answer:

60π

Step-by-step explanation:

Formula for surface area of a cylinder is 2πrh + 2r²π

2πrh: this is the formula to find the area of the cylinder itself (circumference of the base times the height of the cylinder)

2r²π: this is the formula to find the area of the 2 circles at the end of the cylinder (area of a circle times 2)

We can substitute h with 7 and r with 3 to solve:

2πrh + 2r²π

2(3)(7)π + 2π(3²)

42π + 18π

60π

That is your answer

- Kan Academy Advance

[tex]\rule{200}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}[/tex]

      The radius of a circle is 10 m. Find its area to the nearest whole number.

[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

We're asked to find the area of the circle, which we can find using the following formula:-

[tex]\bold{Area_{(circle)}=\pi r^2}[/tex]

Where:-

[tex]\dagger[/tex] Substitute 10 for r and 3.14 for π:-

[tex]\hookrightarrow\sf{A=3.14\times(10^2)}[/tex]

[tex]\bigstar[/tex] On simplification,

[tex]\bold{A=3.14\times100}[/tex]

[tex]\bigstar[/tex] On further simplification,

[tex]\bold{A=314}[/tex]

[tex]\bigstar[/tex] The Area is:-

[tex]\bold{A=314\:m^2}[/tex]

[tex]\square\!\!\!\!\!\!\bigstar[/tex] Note:- Area is always measured in units² (units squared)

[tex]\rule{300}{3}[/tex]

Answer:

A is the answer

Step-by-step explanation:

because 3 is shaded

and there is 5 rows with three shaded

Answer:

See below ~

Step-by-step explanation:

Question 4

Finding the lateral area :

⇒ Lateral area = 2πrh

⇒ Lateral area = 2π(8)(20)

⇒ Lateral area = 320π cm²

===============================================================

Finding the surface area :

⇒ Surface area = Lateral area + 2 × area of the circle

⇒ Surface area = 320π + 2 × π(8)²

⇒ Surface area = 320π + 128π

⇒ Surface area = 448π cm²

=============================================================

Question 5

⇒ In this scenario, the part that is painted is the lateral area

⇒ Area painted = 6 × 4 × 170

⇒ Area painted = 24 x 170

⇒ Area painted = 4,080 mm³

Answer:

    27. (4) 4 in

    28. (2) 13

Step-by-step explanation:

Question 27

Question 28

Answer:

The triangle is a right triangle.

Step-by-step explanation:

Since The Pythagorean Theorem only works on right triangles, we can use this knowledge to prove whether this triangle is right:

[tex]a^2 + b^2 = c^2\\10^2 + (2\sqrt{39})^2 = 16^2\\100 + (4 \times 39) = 256\\100 + 156 = 256\\256 = 256[/tex]

Therefore, the triangle is right.

Answer:

I think 24.

Step-by-step explanation:

Answer:

1) C (Not Sure as Much as I do for #2 & #3)
2) D
3) C

Answer:

use The Law of Cosines first to calculate the largest angle. then use The Law of Sines to find another angle. and finally, use the angles of a triangle add to 180° to find the last angle.

Step-by-step explanation:

The scalene triangle is a type of triangle with sides of three different lengths and angles of three different measurements. In every scalene triangle, the shortest side is opposite the smallest angle and the longest side is opposite the largest angle.