of the 420 students enrolled in basic math only 41% are first-year students. How many
are first-year students? How many are not?

Answer: A. 343/1728

Step-by-step explanation:

All you have to do is multiply (or, in this case, cube) both the numerator and denominator to get the probability.

[tex]\frac{7^{3} }{12^{3} }[/tex] or [tex]\frac{7*7*7}{12*12*12}[/tex]

Answer:

what may be true

Step-by-step explanation:

i just took the test and got the answer correct, i hope this helps.

You can either transform this quadratic equation into a vertex form which would rather painful or use derivatives.

I'll use dervatives. We know that vertex of a quadratic function is either its maxima or its minima, since the leading coefficient [tex]-x^2[/tex] has a negative prefix that means we get a downward turned parabola with minima being the vertex.

First we take the derivative with respect to x,

[tex]\dfrac{d}{dx}-x^2-2x+3=-2x-2[/tex]

The derivative is esentially information what is the slope of a function at a particular x. When the slope is 0 we reached some sort of turning point, such as minima.

We therefore do,

[tex]-2x-2=0\implies x=-1[/tex]

So at [tex]x=-1[/tex] there appears to be a minima or x-coordinate of the vertex of the function.

Plug the coordinate into the function to get y,

[tex]y=f(-1)=-1+2+3=4[/tex]

So the vertex of the function is at [tex]\boxed{(-1,4)}[/tex].

Assuming you don't know derivatives, there is another way.

First compute the roots of the function,

[tex]-x^2-2x+3=0[/tex]

[tex]-(x-1)(x+3)=0[/tex]

[tex]x_1=1,x_2=-3[/tex]

In the middle between [tex]x_1,x_2[/tex] is an x coordinate of a vertex,

[tex]x=\dfrac{x_1+x_2}{2}=\dfrac{1-3}{2}=-1[/tex]

Just like we had before, we compute for y, [tex]h(-1)=4[/tex] and again the result is [tex]\boxed{(-1,4)}[/tex].

Hope this helps :)

Answer:

perimeter=2(l+w).

2(10+6)

2(16)

32cm.

b)2(8+6)

2(14)

28

c)2(11+10)

2(21)

42.

d)2(20+15)

2(35)

70.

a=2 b=3 and c=4. then,

a2+2abc+b2+c2

a2+2abc+b2+c2= 2^2+2×2×3×4+3^2+4^2

(replace value of a, b, c by2,3,4 respectively tgen solve)

= 4+48+9+16

= 77………………

Therefore, 77 is correct answer.

Answer

1.5/4

Step-by-step explanation:

Step-by-step explanation:

7/20

=0.35

35%

=35/100

=0.35

Hence, 7/20=35%

Answer:

Horizontal and vertical lines are perpendicular. So angles B&E .All right angles are 90°.

i hope you're helped

Horizontal and vertical lines are perpendicular. So, angles B and E are right angle by definition of perpendicular lines. All right angles are 90°/congruent/equal.

Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.

Given are two triangles ABC and DEF.

Two triangles are similar if all the corresponding angles are equal and the corresponding sides are proportional.

Here, given that,

AB / DE = BC / EF = 1 / 2.

So, two corresponding sides are proportional.

SAS similarity postulate is that, if two corresponding sides of two triangles are proportional and the corresponding included angle is congruent, then the two triangles are similar.

So we have to prove included angle B and E are equal.

A horizontal and vertical lines are always perpendicular.

Here B and E are formed by a horizontal and a vertical line.

So they are right angles.

All right angles are 90°. So they are equal or congruent.

So Triangles ABC and DEF are similar by SAS.

Learn more about Similar Triangles here :

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Answer:30

Step-by-step explanation:

Answer:

I need to see the rectangular solid

Answer:

because the points are vertical and an isosceles has vertical sides

The fraction equivalent of the given fractions with the same denominator is written as [tex]\frac{56}{100} \ and \ \frac{55}{100}[/tex]

The given parameters include:

[tex]\frac{14}{25} \ and \ \frac{11}{20}[/tex]

To rewrite the given fractions to have the same denominator, we must find the LCM of the denominators;

The prime factorization of 25 = 5²

The prime factorization of 20 = 5 x 2²

The LCM of the two numbers = 5² x 2²  = 25 x 4 = 100

The fractions can rewritten as follows;

[tex]\frac{14}{25} \ = \frac{14}{25} \times \frac{4}{4} = \frac{14 \times 4}{25 \times 4} = \frac{56}{100} \\\\\frac{11}{20} \ = \frac{11}{20} \times \frac{5}{5} = \frac{11 \times 5}{20 \times 5} = \frac{55}{100}[/tex]

Thus, the fraction equivalent of the given fractions with the same denominator is written as [tex]\frac{56}{100} \ and \ \frac{55}{100}[/tex]

Learn more here: https://brainly.com/question/17248258

9514 1404 393

Answer:

  π ft ≈ 3.14 ft

Step-by-step explanation:

The angle is 1/12 of the number of degrees in a circle, so the arc length will be 1/12 of the circumference of the circle.

 C = 2πr

 1/12C = 2/12π(6 ft) = π ft ≈ 3.14 ft

The arc length is about 3.14 feet.

Answer:

2r+7

Step-by-step explanation:

(4r+3)+(−2r+4)

Combine 4r and −2r to get 2r.

2r+3+4

Add 3 and 4 to get 7.

2r+7

:)

Answer:

Answer below

Step-by-step explanation:

Expanded form : 20 + 8 + 0.6 + 0.03

Expanded form is a way of writing numbers to see the individual math value of digits.

Word form: twenty eight point six three.

HOPE THIS HELPED

the ratio of students do not wear glass to total students

[tex]\frac{12}{25}[/tex]

the ratio of students wear glass to total number of students is

[tex]\frac{13}{25}[/tex]

Given

In a class of 25 students, 13 students wear glasses and 12 students do not wear glasses

The ratio of glasses to non-glasses wearing students is 13:12.

Explanation :

we need to find the ratio students wear glasses to whole students

There are total of 25 students.

13 students wear glass

So the ratio of students wear glass to total number of students is

[tex]\frac{13}{25}[/tex]

Similarly , we can find the ratio of students do not wear glass to total students

[tex]\frac{12}{25}[/tex]

Learn more :  brainly.com/question/17218035

Answer:

1/2

please mark me brainliest

9514 1404 393

Answer:

  N55.44

Step-by-step explanation:

The bill is multiplied by 1+10% = 1.10 after the first increase. The second increase multiplies that by 1+20% = 1.20. After 18 months, the bill is ...

  N42 × 1.10 × 1.20 ≈ N55.44 . . . . price after 18 months

Step-by-step explanation:

7/2

=3.5

10/8

=1.25

Hence, 3.5>1.25

Therefore, 7/2>10/8

Answer:

a = 11

Step-by-step explanation:

One is given the following equation:

3a - 7 = 26

Use inverse operations to solve this equation:

3a - 7 = 26

(add (7) to both sides)

3a = 26 + 7

Simplify,

3a = 26 + 7

3a = 33

Inverse operations,

3a = 33

(divide both sides by (3))

a = 33 / 3

Simplify,

a = 11

Answer:

The overall direction of this data is positive. The strength of the association is strong

Step-by-step explanation:

it might be that the data could be negative and not positive

the strength is perfectly strong

base on the whole statement so

hope that helps>3

The overall direction of the data is positive also the strength of the association is strong.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

The overall trend of the data is positive, and the association is strongly correlated.

To know more about arithmetic operations:

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9514 1404 393

Answer:

  1.5 and 1.6

Step-by-step explanation:

√2 ≈ 1.41421356...

√3 ≈ 1.7320508...

1.5 and 1.6 are between these numbers

__

If you need the ratio of integers, these numbers are 3/2 and 8/5.

Answer:

19,86%

Step-by-step explanation:

[tex] \frac{28}{141} = 0.198582[/tex]

➡️ [tex]0.1986[/tex]

➡️ [tex]0.1986 \times \frac{100}{100} [/tex]

➡️ [tex] \frac{0.1986 \times 100}{100} [/tex]

➡️ [tex] \frac{19.86}{100} [/tex]

➡️ [tex] = 19.86\%[/tex] ✅

Answer:

csc x sec x

Step-by-step explanation:

csc = 1/sin

1/sin^2    /  cos/sin    =   1 / sin^2    *  sin/cos       =   1 / sin cos  = csc sec

Answer:

-33

Step-by-step explanation:

this math equation looks relatively simple so i assume the actual equation is -2/3x - 8 = 14

add 8

-2/3x =22

multiply by -3/2

answer is -33

Answer:

B. [tex] {a}^{ - 7 - 10} [/tex] (second option)

Step-by-step explanation:

[tex] \frac{ {a}^{ - 7} }{ {a}^{10} } [/tex]

[tex] {a}^{ - 7 - 10} [/tex]

[tex] - 7 - 10 = - (7 + 10) = - 17[/tex]

Answer:

It is 3c² + 9c + 14

Step-by-step explanation:

[tex]3c(5 + c) - 2(3c - 7)[/tex]

open the brackets:

[tex] = (15c + 3 {c}^{2} ) - (6c - 14) \\ = (15c + {3c}^{2} ) - 6c + 14[/tex]

express in quadratic equation:

[tex]3 {c}^{2} + 9c + 14[/tex]