There are 50 sheets of drawing paper.
Larry divides the drawing paper between himself
and his younger brother John.
And Larry has 14 more sheets.
How many
sheets of drawing paper do Larry and his
brother have, respectively?​

Answer:

12 and 13

Step-by-step explanation:

(a)

To evaluate f(g(2)), evaluate g(2) then use the value obtained to evaluate f(x)

g(2) = 2(2) - 1 = 4 - 1 = 3, then

f(3) = 3² + 3 = 9 + 3 = 12

--------------------------------------------

(b)

To evaluate g(f(2)), evaluate f(2) the use the value obtained to evaluate g(x)

f(2) = 2² + 3 = 4 + 3 = 7, then

g(7) = 2(7) - 1 = 14 - 1 = 13

Answer:

19/ 143

Step-by-step explanation:

There are 19 rock songs out of 143 total

P(rock) = number of rock songs/ total

            = 19/ 143

Answer: the answer is 77 degrees

Step-by-step explanation: a triangle's angles all add up to 180, so all you need to do is 180-(59+44)

Answer:

The probability the student studies Art and Biology is 0.2143.

Step-by-step explanation:

Denote the events as follows:

A = a students studies Art

B = a students studies Biology

The information provided is:

N = 42

n (A ∩ B) = 9

n (A' ∩ B) = 10

n (A' ∩ B') = 7

Then the number of students who study Art but not Biology is:

n (A ∩ B') = N - n (A ∩ B) - n (A' ∩ B) - n (A' ∩ B')

               [tex]=42-10-7-9\\\\=16[/tex]

The number of students who study Art but not Biology is 16.

Compute the probability the student studies Art and Biology as follows:

[tex]P(A\cap B)=\frac{n (A\cap B)}{N}[/tex]

               [tex]=\frac{9}{42}\\\\=\frac{3}{14}\\\\=0.2143[/tex]

Thus, the probability the student studies Art and Biology is 0.2143.

Answer:

exponential growth

Step-by-step explanation:

f(x)  = 2  * 2^x

This is in the form

y = a * b^x  where a is the initial value and b is the growth rate or decay rate

b > 1 so it is growth

This is  the exponential form

y = mx+b is the linear form

Answer:

3x(3x+5)(x-2)

Step-by-step explanation:

[tex]9x^3-3x^2-30x= \\\\3x(3x^2-x-10)= \\\\3x(3x^2+5x-6x-10)= \\\\3x(x(3x+5)-2(3x+5))= \\\\3x(3x+5)(x-2)[/tex]

Hope this helps!

Answer:

2.25

Step-by-step explanation:

Answer:

-54

Step-by-step explanation:

Please write this sequence in the following form:  a(n) = (-2)*3^(n- 1)

Then a(1) = -2*3^0  =  -2

         a(2) = -2*3^(2 - 1) = -6

          a(3) = -2*3^(3 - 1) = -2*9 = -18

          a(4) = -2*3^(4-1) = -2*27 = -54

Answer:

-6

Step-by-step explanation:

Rewrite the equation with the number that has the highest exponent in the front.

-6x^4 -2x^3 + 8x +5

The leading coefficient is the number beside the x value

In this case it is -6

Hope this helps plz mark brainliest!

Answer:

15 litres

Step-by-step explanation:

1/3 x= 5

x= 5 : 1/3

x= 5*3

x= 15 litres

Answer: B. The test contains 10 three-point questions and 14 five-point questions

Step-by-step explanation:

14 * 5 = 70

10 * 3 = 30

70 + 30 = 100

14 + 10 = 24

Answer:

y=14

x=10

Step-by-step explanation:

x+y=24

3x+5y = 100

multiply the first equation by 3 and subtract from second one :

3x+3y=72

-

3x+5y=100

equal : -2y=-28

y=14

x=10

Answer:

[tex]_3 C_2 =\frac{3}{2}[/tex]

[tex]_3 C_3[/tex] Is undefinded.

Step-by-step explanation:

Given the equations.

[tex]_3 C_2=\frac{3}{(3-2)2}[/tex]

[tex]_3 C_3 =\frac{3}{(3-3)3}[/tex]

Distribute the denominator.

[tex]_3 C_2 =\frac{3}{(6-4)}[/tex]

[tex]_3C_2 = \frac{3}{(9-9)}[/tex]

Simplify the denominator.

[tex]_3 C_2 = \frac{3}{2}[/tex]

[tex]_3 C _3 = \frac{3}{0}[/tex] this is undefined because you're not able to divide by 0.

Answer:

part 1: 3 & 1

part 2: 6

Step-by-step explanation:

edge fam sticks together lol

Answer:

(a)1/10

(b)1/5

(c)4/5

hope it helps

Answer:

answer for A) 1/10

answer for B) 1/10

answer for C) 8/10 given that you consider the digit '1' present in 10. if not, 9/10 is the answer

Answer:

Surface Area: 200.48 yd^2

Volume: 141.2 yd^3

Step-by-step explanation:

Rectangular Prism x1 = 148.48 yd^2

Let's start off by splitting this figure into three shapes, one rectangular prism and two triangular prisms. Find the surface area of the rectangular prism by finding the area of each side of it, (8 yd * 2.8 yd) for only the bottom, (8 yd * 4.8 yd) x 2 for the front and back, and (2.8 yd * 4.8) x 2 for the left and right side. You will get 44.8, 76.8 and 26.88 for a total of 148.48 yd^2.

Triangular Prism x2 = 52 yd^2

Find the area of one of the front triangles using the given 3 yd with a length of 4 yd given that one triangle takes up half the length of 8 yd horizontally. Use the triangle formula (length x width)/2 and substitute in values 3 and 4 above to get an area of 6 yd^2. Times that amount of yards by 4 since we have 3 remaining sides that are the same to get 24 yd^2, remember this for later. Almost there as we also have two rectangles on the triangular prisms: both with width of 5 yd and length of 2.8 yd, find area using l*w to get 14 yd^2. Add two of them to get 28 yd^2 for each rectangle. Add 24 yd^2 with 28 yd^2 to get a surface area of 52 yd^2 for BOTH the triangular prisms.

Finally add the surface area of the three figures to get a total surface area of 200.48 yd^2.

Now we move on to volume, which is actually more simple.

Formula of Rectangular Prisms = length x width x height

Formula of Triangular Prisms = (length x width x height) / 2

Volume of Rectangular Prism = (8 yd * 2.8 yd * 4.8 yd) = 107.52 yd^3

Volume of Two Triangular Prisms = (4 yd * 3 yd * 2.8 yd) / 2 = 16.8 yd^3 x 2

Finally add the volumes together to get your final volume.

107.52 + 16.8 + 16.8 = 141.2 yd^3

Sorry if this is long xd

Answer:

C.

Step-by-step explanation:

Rays that intersect at a right angle (90° angle) are always perpendicular

Answer:

The answer is B

Step-by-step explanation:

Answer:

x equals quantity of 3 plus or minus I square root of 23 all over 2

Step-by-step explanation:

Answer:

(a) 12:5

(b)12:7

Step-by-step explanation:

HOPE i helped!

Answer: A Collecting data

Step-by-step explanation:

just did the quiz

Answer:

Since both terms are perfect squares, factor using the difference of squares a^2-b^2=(a+b)(a-b) where a=5x and b=4y

(5x+4y)(5x-4y)

Answer:

³⁰C₄ = (30!)/(4!)(30-4)! = 27,405 WAYS

Explanation:

These two angles are a linear pair. They are supplementary (ie they add to 180) and they are adjacent. We know they are supplementary because line WXZ is a straight line. Put another way: point X is on line WZ.

-------

Side notes:

The correct statement is,

⇒ m ∠WXY + m ∠YXZ = 180°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

To find the correct statement.

Now, We can find the correct statement as;

By definition of linear pair we get;

⇒ m ∠WXY + m ∠YXZ = 180°

Thus, The correct statement is,

⇒ m ∠WXY + m ∠YXZ = 180°

Learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ7

Answer:

NL is congruent to US.

Answer:

d. NL ≅US

Step-by-step explanation:

ΔMNL ≅ ΔTUS

follow the order in ≅ statement meaning that MN ≅ TU,NL ≅US, ML ≅ TS

Answer:

The correct answer is A

Step-by-step explanation:

Because the solution to the two equations would be 3 and -6, so the numbers in the other column in the matrices that aren't 3 and -6 would be the coefficients. In matrix Ax = 4 and 1 are the coefficients for y and in matrix Ay, -5 and -8 is the coefficient for the xs in the equations.

Answer: A

Step-by-step explanation: edge 2023

Answer:

1/2 belongs to the rational family of real numbers because it isn't an integer (..-1, 0, 1..) but it can be written as a fraction.

Answer:

rational numbers and real numbers

Step-by-step explanation:

Rational numbers is part of the real numbers family and so therefore it is also a real number.

Answer:

y = 14

Length of AB = 56 units

Step-by-step Explanation:

==>Given:

Parallelogram ABCD, with the following lengths:

AB = 4y

DC = y + 42

==>Required:

a. Value of y

b. Length of AB

==>Solution:

i. Recall that one of the properties of a parallelogram is that opposite sides are congruent. This implies that side AB is congruent to DC.

To find the value of y, let's set the opposite sides of the parallelogram equal to each other (i.e. AB = DC)

Thus,

4y = y + 42

Subtract y from both sides

4y - y = y + 42 - y

3y = 42

Divide both sides by 3

3y/3 = 42/3

y = 14

ii. Length of AB = 4y

Plug the value of y

Length of AB = 4(14)

Length of AB = 56 units

Answer:

open circle on negative 10 with the arrow going to the right. one trick is when the variable is on the left the inequality sign points to where the arrow will go and > is open circle > with a line under is closed circle