32:3
What is 32 divided by 3

Answer:

221

Step-by-step explanation:

Day 8 is the first day of the second week.

Day 21 is the last day of week 3.

We need to know the n umber of bicycles made from t = 1 to t = 3

The function is b(t) = 110 + 0.5t^2 - 0.9t, where t is in weeks.

We need to integrate the function with the limits of 1 to 3.

[tex] \int_{1}^{3} (110 + 0.5t^2 - 0.9t) dt [/tex]

[tex] \int_{1}^{3} (110 + \dfrac{t^2}{2} - \dfrac{9t}{10}) dt [/tex]

[tex]= 110t + \dfrac{t^3}{6} - \dfrac{9t^2}{20} \Biggr|_{1}^{3}[/tex]

[tex] = 330.45 - 109.72 [/tex]

[tex] = 220.7333 [/tex]

Answer: 221

Answer:

y=6x+2

Step-by-step explanation:

y=mx+b

-the y and x are variables and your going to want to leave them that way.

-m is the slope

-b is the y-intercept

after plotting your points and drwaing a line through them you get your final equation

Answer:

62.83 inches

Step-by-step explanation:

The circumference of a circle with a radius of 10 is 62.83.

Answer:

4. Given

6. Definition of verticle angles

7. Algebra/part-whole-postulate/sum of interior angles in a triangle/CPTCTC (Corresponding parts of congruent triangles are congruent)

Step-by-step explanation:

number 4 is just...given because it shows that they're both right angles

6, it's literally the definition of verticle angles

7, since we know that angle TQU and angle RSU are congruent and angle QUT and SUR are congruent, if we subtract those from 180, that means those two angles also have to be congruent

Also, the two triangles are congruent by LA or ASA, so CPCTC would also work

Part-whole-postulate, same reasoning as algebra.

Sum of interior angles in a triangle, same as algebra.

Hope this helped, let me know if you have any questions.

Answer:

15, A

Step-by-step explanation:

(0,6) (9,-6)

distance formula =

[tex]d= \sqrt{(x_2-x_1)²+(y_2-y_1)² }[/tex]

lets put our numbers

[tex]d= \sqrt{(0 - 9)²+(6+ 6)² }[/tex]

so answer will be = 15, A

Given:

The point [tex]P\left(\dfrac{3}{4},\dfrac{5}{12}\right)[/tex] divides the line segment joining points [tex]A\left(\dfrac{1}{2},\dfrac{3}{2}\right)[/tex] and [tex]B(2,-5)[/tex].

To find:

The ratio in which he point P divides the segment AB.

Solution:

Section formula: If a point divides a segment in m:n, then the coordinates of that point are,

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Let point P divides the segment AB in m:n. Then by using the section formula, we get

[tex]\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{m(2)+n(\dfrac{1}{2})}{m+n},\dfrac{m(-5)+n(\dfrac{3}{2})}{m+n}\right)[/tex]

[tex]\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{2m+\dfrac{n}{2}}{m+n},\dfrac{-5m+\dfrac{3n}{2}}{m+n}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{3}{4}=\dfrac{2m+\dfrac{n}{2}}{m+n}[/tex]

[tex]\dfrac{3}{4}(m+n)=\dfrac{4m+n}{2}[/tex]

Multiply both sides by 4.

[tex]3(m+n)=2(4m+n)[/tex]

[tex]3m+3n=8m+2n[/tex]

[tex]3n-2n=8m-3m[/tex]

[tex]n=5m[/tex]

It can be written as

[tex]\dfrac{1}{5}=\dfrac{m}{n}[/tex]

[tex]1:5=m:n[/tex]

Therefore, the point P divides the line segment AB in 1:5.

Answer:

30 units

Step-by-step explanation:

The formula for finding the area of a triangle is 1/2b x h

So b = 12

and h = 5

1/2(12) = 6

6 x 5 = 30

I could be wrong here so

Here's a little tip:

I can tell you're using G.oogle Forms, so you can press ctrl + U and find the answers in the code

Answer:

18

Step-by-step explanation:

5d/9=10

5d=10*9

5d=90

d=90/5

d=18

Answer:

(a)(b)=0.45

a/b=0.8

Step-by-step explanation:

a=0.6

b=0.75

(a)(b)=(0.6)(0.75)=0.45

a/b=0.6/0.75=0.8

Answer:

a*b =  0.5

a/b =  0.888...

Step-by-step explanation:

0.6666... = 2/3

a*b = 2/3 * 3/4 = 1/2 = 0.5

a/b = (2/3) / (3/4) = 8/9 = 0.888...

Answer:

B) 10-6x is the answer ...

Answer:

B) -1

The 'x' value =-1 and y =-7

The solution of the given system of equations

(-1,-7)

Step-by-step explanation:

Step(i)

Given that the system of equations

                 x-y = 6 ..(i)

                y = 2x -5 ..(ii)

By using substitution method,

substitute y=2x-5 in equation (i) , we get

        x -(2x-5) =6

       x -2x+5 =6

           -x = 6-5

           -x =1

            x=-1

Step(ii):-

Put x=-1 in equation (ii) , we get

       y = 2(-1) -5 = -2-5 =-7

The solution of the given system of equations

(-1,-7)

Answer:

Step-by-step explanation:

B) -1

The 'x' value =-1 and y =-7

The solution of the given system of equations

(-1,-7)

Step-by-step explanation:

Step(i)

Given that the system of equations

                x-y = 6 ..(i)

               y = 2x -5 ..(ii)

By using substitution method,

substitute y=2x-5 in equation (i) , we get

       x -(2x-5) =6

      x -2x+5 =6

          -x = 6-5

          -x =1

           x=-1

Step(ii):-

Put x=-1 in equation (ii) , we get

      y = 2(-1) -5 = -2-5 =-7

The solution of the given system of equations

(-1,-7)

Answer:

60  think

Step-by-step explanation:

Answer:

102 foot^3

Step-by-step explanation:

First, the box in the middle: 4x3x8=96

Then the 2 other boxes are: 2x(1x1x3)=6

6+96=102

Answer:

27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

3 - 6(z - 2)

z = -2

Step 2: Evaluate

By substituting value of z = - 2 in 3 - 6(z - 2), we get :

[tex] \tt : \implies 3 - 6(z - 2) = 3 - 6((-2) - 2)[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 3 - 6(-2 - 2)[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 3 - 6(- 4)[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 3 + 24[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 27[/tex]

[tex] \large \underline{\boxed{\bf{ 3 - 6(z - 2) = 27}}}[/tex]

Hence, value of 3 - 6(z - 2) = 27.

Answer:

50.2cm

Step-by-step explanation:

16/sin(65)=17.65 (2 of those)

16/tan(65)=7.46 (base)

17.65+17.65+7.46=50.23

Answer:

1. Down.

2. Clare's line would be higher because she begun further away from her house.

3. The lines would have the same slope since they are going the same speed.

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

its vertically opposite

Answer:

28

Step-by-step explanation:

Vertical angles always have the same measure, so the measure of DFE would also be 28 degrees

Answer:

2 47/200

I don't know if is right, but that's what I got.

Answer:

1/19

Step-by-step explanation:

In order to find the reciprocal of a number, we need to flop it over.

"Flopping over" is not the same as "changing the sign of the number"

So what does "flopping over" actually mean?

Consult the following formula:-

[tex]\sf{The~reciprocal~of~a~is\mapsto\frac{1}{a} }[/tex]

According to the formula,

[tex]\sf{The~reciprocal~of~19~is~\frac{1}{19}}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

42-a²+ab

42-6²+6×5

42-36+30

6+30

36.

Answer:

27 1/4

Step-by-step explanation:

Answer:

10.95x + 12.57 = 89.22

Step-by-step explanation: