A paint manufacturing company has a machine which fills 24 tins with paint in 5 minutes
How many tins will the machine fill in
(a) 1 minute, correct to the nearest whole number?
(B) 1 hour?
How many hours will it take to fill 1440 tins?​

Answer:

A circle centred at (-1,3) and radius 3.

Step-by-step explanation:

Answer:

x = 12.26

Step-by-step explanation:

sin  = opp/hyp

sin 50 = x/16

multiply both sides by 16

16 * sin50 = x

Use calculator

x = 12.256711089903649

Rounded

x = 12.26

The answer is:

12.26

you multiply both sides

Answer:

The answer is 1/8

Step-by-step explanation:

There are 4 marbles in the box and one of them is a yellow marble. The odds of getting a yellow marble fr the box is 1/4.

A number cube labeled 1 through 6 has 6 numbers, which are 1, 2, 3, 4, 5 and 6. The odd numbers in the cube are 1, 3 and 5. The probability of getting an odd number from the cube is 3/6, which is simplified to 1/2.

To find the probability of both cases occurring, both fractions should be multiplied.

1/4 * 1/2 = 1/8

Step-by-step explanation:

so you put the value of F into x and make an equation

Answer:

Step-by-step explanation:

f(x) = px + q

f(-2) = 4

 p*(-2) + q = 4

-2p + q = 4 -----------------(I)

                    f(3) = 4

                    p*3 + q = 4

                     3p + q = 4 ---------------------(II)

Subtract equation (II) from (I)

(I)           -2p + q = 4

(II)           3p  + q = 4  {Subtract}

           -         -      -  

              -5p + 0 = 0

-5p = 0

p = 0

Plugin p = 0 in equation (I)

0 + q = 4

       q = 4

p = 0

q = 4

Answer:

1570.8

Step-by-step explanation:

Radius=1/2 Diameter

V=PiR^2h

v=3.1416(10m)^2x5

v=1570

note: the answer can vary slightly depending on how many decimal points are used for Pi.

Answer:

So starting off with 1a f(4)

We simply substitute x with 4 for the function

f(4)=2(4)-5

f(4)=8-5

f(4)=3

Next 1b, here it's a little different since you have to multiply the functions I think ( please correct me if I'm wrong).

gf(4), basically means functions g and f are being multiplied and their variables are being substituted with 4.

g(4)=4^2+3

g(4)=16+3

g(4)=19

and we also know from before that f(4)=3, so we'll do 19 times 3 which is 57

For the next two, I may be wrong, but I'm still going to try:

anything to the power of a negative is a fraction so for f^-1(x)=2x-5 we'll have 1/f(x)=x/2+5/2

And then for g^-1, we'll have 1/g(x)=[tex]\sqrt{x-3} \sqrt{x-3}[/tex]

Hope I helped :)

Answer:

6^8

Step-by-step explanation:

(6^2)^3*6^2

= 6^(2*3)*6^2

= 6^6*6^2

= 6^(6+2)

= 6^8

Answer:

111

Because other ones ends with even numbers (6, 2, 8)

Answer:

option D

Step-by-step explanation:

4 hours = 40 miles/per hour

? hour = 55 miles/per hour

step one, find rate :

40 divided by 40

1 hour = 10 miles/per Hour

If 4 x 10 = 40

then  n x 10 = 55

It takes 5.5 OR 5.50 Hours/per hour for a Distance of 55 miles

Answer is Option D

Answer:

SOHCAHTOA

-opposite = 45

adj = x (32 degrees)

Tan(32)/x = 45/x

cross multiply to get your answer

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

Explanation:

Use of a calculator will show that

2/3 = 0.6666...

where the 6's go on forever. Your teacher only wants 2 significant figures though. That means you'll round to the nearest hundredth to get 0.67

The 0 to the left of the decimal point is not a significant figure. The reason being is because we can rewrite 0.67 into 6.7*10^(-1); we can see the coefficient 6.7 having two sig figs.

Answer:

2000 represents the original amount of butterfly's

3/4 represents the change in butterfly's

To find c) plug 3 in for t and solve.

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, acute, scalene, obtuse, right and equilateral triangle.

A scalene triangle is a triangle in which all the three sides of the triangle have different lengths hence, all the angles of the triangle also have different lengths.

Therefore the set of straw lengths that can be used a scalene triangle must have different lengths, for example:

5, 7 , 8

Answer:

So the point of intersection would be -x=2x+6

and then we'll subtract 2x on both sides and get -3x=6

this will result in x=-2

Then we'll substitute that into y=-x, so y=2

Therefore the point of intersection is (-2,2)

Hope I helped, have a nice day :)

Answer:

answer is 40 :)

Step-by-step explanation:

hope this helps :) have a great day!

Answer:

8 cm

Step-by-step explanation:

Congruent means same. so x is 8

Answer:

x = 70°, y = 110°, z = 70°

Step-by-step explanation:

The two straight lines are intersection each other.

y = 110°  [justification vertical angles, or vertically opposite angles]

x + 110° = 180  [supplementary angles]

therefore x = 180-110 = 70°

Similarly,

z + 110° = 180  [supplementary angles]

therefore z = 180-110 = 70°

Answer:

Y= 110°

Z= 70°

X= Z, which is 70°

Step-by-step explanation:

Because 110° is same to y, y=110°.

A 180° angle is a straight line, so 180-110=70.

Thus, z is 70°

Because x is same to z, it is 70° too.

Answer:

x = - 8

Step-by-step explanation:

x - 124 = 9(2x + 3) - 15

x - 124 = 18x + 27 - 15

x - 124 = 18x + 12

x - 124 + 124 = 18x + 12 + 124

x = 18x + 136

x - 18x = 18x - 18x + 136

- 17x = 136

- 17x ÷ - 17 = 136 ÷ - 17

x = - 8

Answer:

The polygons are similar.

Step-by-step explanation:

By definition, the corresponding sides and angles of similar polygons must be in some constant proportion.

Therefore, we can find the ratio between corresponding sides to see if that ratio is maintained.

The side marked 3 cm in the smaller figure corresponds with the side marked 3.75 cm in the larger figure. This proportion is [tex]\frac{3}{3.75}[/tex].

The side marked 5 in the smaller figure corresponds with the side marked 6.25 cm in the larger figure. This proportion is [tex]\frac{5}{6.25}[/tex].

If these polygons are similar, these proportions must be equal.

[tex]\frac{3}{3.75}=\frac{5}{6.25},\\0.8=0.8\:\checkmark[/tex]

Checking, we see that these proportions are equal, and therefore the polygons are similar.

Answer:

91.3 degrees celsius

Step-by-step explanation:

Here, we want to calculate the mean temperature of the 30 cups

From what we have here, if we multiplied the mean by the count of cups, we have the total

That means, we have the total temperature of all as;

(10 * 89.6) + (20 * 92.1) = 2,738

So to get the temperature of the thirty, we divide this by 30 as follows;

2,738/30 = 91.3

Answer:

Step-by-step explanation:

All the measuring angles above 180 degrees and less than 360 degrees are termed Reflex angles.

Eg: 239° is greater than 180° and lesser than 360° So it's a reflex angle

Answer:

C and E

Step-by-step explanation:

Answer:

Following are the solution to the given question:

Step-by-step explanation:

For point a:

[tex]6.5 - 4.9 = 2.4 \\\\\frac{2.4}{1.2} = 2 \\\\\sigma \ \ so \ k = 2[/tex]

For point b:

[tex]\frac{3}{1.2}\ \ \sigma\ \ so \ k =\frac{3}{1.2} \ \ so\ \ 1- \frac{1}{k ^2} = 0.84[/tex]

For point c:

Once again, we have k = 2 though with Chebyshev discrepancy of witness numbers in the same number of standard deviations off mean = at least 75 percent.

Answer:

c. (x + 3)

Step-by-step explanation:

using factor theorem

if x - 3 is a factor then p(a) = 0

p(a)= x^3 - 3x^2 - 4x + 12

a.(x-3)

p(3) = (3)^3 - 3(3)^2 - 4(3) + 12

= 27 - 27 - 12 + 12

= 0

therefore x-3 is a factor

b.(x + 2)

p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12

= -8 -12 + 8 + 12

,= 0

therefore x + 2 is a factor

c.(x + 3)

p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12

= -27 -27 + 12 + 12

= -30

therefore x + 3 is not a factor

d.(x-2)

p(2) = (2)^3 - 3(2)^2 - 4(2) + 12

= 8 -12 - 8 + 12

= 0

therefore x - 2 is a factor

Answer:

Probably 1

Step-by-step explanation:

I'm not sure, but I would think that if we wanted to round it to 5,000, we would want the number to be as close to 5,000 as possible.

Answer:

1 or 2

Step-by-step explanation:

5160.5 is less than 5,500 therefore it rounds down to 5,000.

5260.5 is less than 5,500 therefore it rounds down to 5,000.

Answer:

b

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

youre welcome have a great summer

Answer:

Step-by-step explanation:

It is in changing solving with the sign of | |