A mine produces 42.5 tons of coal per hour. How much coal will the mine produce in 12.5 hours?

Answer:

Consider the difference quotient formula.

f(x+h)−f(x) / h

Find the components of the definition.

g(x+h)=3h+3x−1

g(x)=3x−1

Plug in the components.

g(x+h)−gx / h = 3h+3x−1−(3x−1) / h

Simplify = 3

Answer:

(6,-1)

Step-by-step explanation:

let coordinates of K be (x,y) then

[tex]0=\frac{-6+x}{2}\\or~-6+x=0\\x=6\\1=\frac{3+y}{2}\\y+3=2\\y=2-3=-1\\so ~K~is ~(6,-1)[/tex]

The coordinates of endpoint K will be (6,-1).

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

Given that the midpoint of JK is M(0, 1). One endpoint is (-6, 3). The other end will be calculated as below:-

0 = ( -6 + x ) / 2

-6 + x = 0

x = 6

The value of the y coordinate will be calculated as below:-

y = 2 - 3 = -1

Therefore, the coordinates of endpoint K will be (6,-1).

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Answer:

S = 14.14

Step-by-step explanation:

The area of a square is S*S or S^2.

So, if we know that the area of the square patio is 200, we can say that

S^2 = 200.

S = sqrt(200)

S = 14.14 ft.

Answer:

10w+6 is the difference between the two areas

Step-by-step explanation:

for the old room:

l=2w

wich mean

 Area_old=l*w=2w*w=2w²

for the new room:

L=l+2 since l=2w => L=2w+2

W=w+4

so

Area_new=L*W=(w+4)*(2w+2)= 2w² +10w+6

the difference is :

Area_new - Area_old= 10w+6

Answer:

y=-2/3 x +2

y=-x+2

Step-by-step explanation:

slope intercept form : y=mx+b

first find the slope :

two points from the graph : (0,2) (3,0)

y=b=2 when x=0 y = the constant b

m=(y2-y1)/(x2-x1)

m=0-2/3-0

m=-2/3

question 26: two points from graph: (0,2),(1,1)

b=2 ( when x=0, y=b=2)

m=1-2/1-0

m=-1

Answer:

Here’s the answer :)

Step-by-step explanation:

Answer:

[tex] {81}^{ - 1} \: or \: \frac{1}{81} [/tex]

Step-by-step explanation:

[tex] {3}^{ - 4} [/tex]

Apply rule :

[tex] {a}^{ - 1} = \frac{1}{ {a}^{1} } [/tex]

[tex] \frac{1}{ {3}^{4} } = \frac{1}{81} \: or \: {81}^{ - 1} [/tex]

Answer:

59/50

Step-by-step explanation:

118/100 divided by 2/2

=59/50

Answer:

3

Step-by-step explanation:

By order of PEMDAS, perform math within parentheses first.

[tex](28 - 19) \div 3[/tex]

Continue with PEMDAS

[tex](9) \div 3[/tex]

Now, simply divide

[tex]9 \div 3 = 3[/tex]

Answer:

A = 29

Step-by-step explanation:

a triangle is equal to 180 so the bottom triangle you add 34 + 26 = 60 --> 180-60 = 120  ---> the triangle on top is 120 + 31 = 151 -----> 180-151 = 29

Answer:

y=1

Step-by-step explanation

So basically 2 *7y is 14y and 2*5 equals 10

bring the 10 to the 4 and you have 14y=14

y=1

Answer:

m<DAE = 80°

Step-by-step explanation:

Given that m<CAB = 110°,

m<DAE = (x + 4)°,

m<EAF = 30°,

m<EAF + m<DAE = m<DAF (angle addition postulate)

30° + (x + 4)° = m<DAF (substitution)

(34 + x)° = m<DAF

<DAF and <CAB are vertically opposite angles. Vertically opposite angles are said to be congruent. Therefore:

m<DAF = m<CAB

(34 + x)° = 110° (substitution)

The equation above can be used to solve for x as follows:

34 + x = 110

x = 110 - 34 (Subtracting 34 from both sides)

x = 76

m<DAE = (x + 4)°

Plug in 76, to replace x

m<DAE = 76 + 4

m<DAE = 80°

Step-by-step explanation:

Multiplication......

Answer:

d. -24

Step-by-step explanation:

M(-1)=(-1)^2-3(-1)

M(-1)=1+3

M(-1)=4

N(-1)=-1-5

N(-1)=-6

MN(-1)=(4)(-6)

MN(-1)=-24

Given:

The function is

[tex]f(x)=2x+1[/tex]

To find:

The range value if the domain value is 1.75.

Solution:

Domain is the set of input values and range is the set of output values.

Here, range value if the domain value is 1.75. It means the value of function f(x) at x=1.75.

Substitute x=1.75 in the given function.

[tex]f(1.75)=2(1.75)+1[/tex]

[tex]f(1.75)=3.5+1[/tex]

[tex]f(1.75)=4.5[/tex]

Therefore, the required range value is 4.5.

Answer: 4/49 m^2

Step-by-step explanation:

Multiply

2/7 x 2/7 = 4/49

Answer: 4/49 m^2

Step-by-step explanation:

Area of a square = side X side

Side is 2/7

So, Area = (2/7)*(2/7) = 4/49 m^2

Answer:

74

Step-by-step explanation:

2(28x9)

74 is the perimeter

Answer:

12x+6

Step-by-step explanation:

(4x+3)+(4x+3)+(2x)+(2x)

4+4+2+2=12, 3+3=6

12x+6

Answer:

B, C, D

Step-by-step explanation:

Answer: -6

Step-by-step explanation: mark me as brainliest if i helped

The value of the expression is 4.

We have,

Expression:

12 - 15 ÷ 3 - 3

Now,

Apply PEMDAS.

Divide 15 by 3.

12 - 15/3 - 3

[ 3 x 5 = 15]

So,

12 - 5 - 3

12 - (5 + 3)

12 - 8

4

Thus,

The value of the expression is 4.

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Answer:

-3

Step-by-step explanation:

23=-5x+8

23-8=-5x

15=-5x

x=-3

Answer:

x=-3

Step-by-step explanation:

23=-5x+8

-8 -8

15=-5x

______

-5 -5

-3=x

Answer:

-1

Step-by-step explanation:

Answer:

60yd

Step-by-step explanation:

First you multiply 3yd, and 6yd to get the area of 18 yards.

Second, you multiply the length of the triangle, so 6*7 is 42.

Finally you add both of the areas together to get the area of the full shape.

Answer:

THE ANSWER IS C ON EDGE.

Step-by-step explanation:

If both sides of the graph are pointing in the same way, THE FUNCTION HAS AN EVEN DEGREE.

The degree of a polynomial is the highest power of the polynomial.

Graph 3 has an odd degree.

From the attachments, we have the following highlights

The above highlights mean that:

Hence, graph 3 has an odd degree.

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Answer:

its 28

Step-by-step explanation:

hope this helps also u have to divide 70 divided by 48% in order to get 28

Answer:

40 inches

Step-by-step explanation:

We know that the height of water in a pool decreased 5 inches per week.

This means that we can form the equation [tex]y=-5x[/tex], since the amount of water remaining is proportionate to the amount of weeks that have passed.

We know [tex]x=8[/tex], since we need to find the change for 8 weeks.

[tex]y = -5\cdot 8[/tex]

[tex]-5 \cdot 8 = -40[/tex]

[tex]y=-40[/tex]

The change will be the absolute value of -40, which just makes it positive, so 40.

Hope this helped!

Answer:

40 inches evaporated

Step-by-step explanation:

5 in / week

Multiply 5 in by 8 wks

= 40 inches of water evaporated over 8 wks

c = cost

h = # of half-dozens ordered

c = $8.50h + $1  is the correct answer.