PLEASE PLEASE HELP ME

Answer:

c=5/72

Step-by-step explanation:

5/9=14c-5/12

Switch sides

14c-5/12=5/9

Add 5/12 tp both sides

14c-5/12+5/12=5/9+5/12

Simplify;

14c-5/12+5/12

=14c

Simplify;

5/9+5/12

LCM of 9, 12;

36

The least common multiplier of a, b is the smallest positive number that is divisible by both a and b.

Prime factorization of 9;

3*3

Prime factorization of 12;

2*6

=2*2*3

=3*3*2*2

=36

5/9=5*4/9*4=20/36

5/12=5*3/12*3=15/36

=20/36+15/36

20+15/36

=35/36

14c=35/36

14c/14=35/36/14

14c/14=c

35/36*14

=35/504

=5/72

Answer c=5/72

Answer to the following question is as follows;

Value of C = 5 / 72

Step-by-step explanation:

Given:

[tex]\frac{5}{9} = 14c - \frac{5}{12}\\\\[/tex]

Find:

Value of C

Computation:

[tex]\frac{5}{9} = 14c - \frac{5}{12}\\\\[/tex]

By taking 5/12 to LHS Side

[tex]\frac{5}{9} + \frac{5}{12} = 14c\\\\[/tex]

By taking LCM;

[tex]\frac{(4)(5) + (3)(5)}{36} = 14c\\\\[/tex]

[tex]\frac{20 + 15}{36} = 14c\\\\[/tex]

[tex]\frac{35}{36} = 14c\\\\[/tex]

By transfer 14 to LHS side

[tex]\frac{35}{36 \times 14 } = c\\\\[/tex]

[tex]\frac{5}{36 \times 2 } = c\\\\[/tex]

[tex]\frac{5}{72} = c\\\\[/tex]

Value of C = 5 / 72

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Answer:

15. there are 11 cubes

16. there are 18 cubes

17. there are 6 cubes

18. the pencil case

19. the stapler

20. The Pencil Case is heavier than the wallet

21. The stapler is lighter than the wallet

Step-by-step explanation:

Okay so looking at the unit cubes you must count how much there are and see how much unit cubes the weight is equivalent to

15. there are 11 cubes

16. there are 18 cubes

17. there are 6 cubes

18. the pencil case

19. the stapler

20. The Pencil Case is heavier than the wallet

21. The stapler is lighter than the wallet

your work is correct!! Good job!!

Hope this helps!!

-Ketifa

Answer:

58 mi^2.

Step-by-step explanation:

We can split this up into 2 rectangles and 1 triangle.

Height of the triangle = 4 + 2 + (12-11)

= 7.

Total area

= 2*12 + 2*10 + 1/2 * 4 * height of the triangle

= 24 + 20 + 1/2 * 4 * 7

= 44 + 14

= 58 mi^2.

Answer:

140

Step-by-step explanation:

30% of a number(x) is 105. To find the number(x) we must set up the equation below and solve for x:

0.3=105/x (multiply x)

0.3x=105 (divide by 0.3)

x=350

Solve for 40% of the number by multiplying 0.4 by the number:

350x.4=140

simply, they can set in many different ways

Answer:

there is no pic -_-

Step-by-step explanation:

Answer:

(a) [tex]A = 1500(1 - e^{-0.01t})[/tex]

(b) [tex]t = 0[/tex]

Step-by-step explanation:

Given

[tex]V= 300gal[/tex] --- Volume of tank

[tex]B = 5lb/gal[/tex] --- Brine solution

[tex]R_1 = 3gal/min[/tex]  --- Rate in, in gallon/min

[tex]R_2 = 6gal/min[/tex] --- Rate out, in gallon/min

Required

Determine A(t)

First, calculate the rate in (R in) and (R out) in lb/min

[tex]R_{in} = B * R_1[/tex]

[tex]R_{in} = 5lb/gal * 3gal/min[/tex]

[tex]R_{in} = 15lb/min[/tex]

R(out) is calculated by multiply the rate at which brine leaves the tank (lb/gal) * R2

So, we have:

[tex]R_{out} = \frac{A(t)}{300} lb/gal * 3gal/min[/tex]

[tex]R_{out} = \frac{3*A(t)}{300} lb/min[/tex]

[tex]R_{out} = \frac{A(t)}{100} lb/min[/tex]

The change in the amount of brin e in the tank at time t is given as:

[tex]A'(t) = R_{in} - R_{out}[/tex]

[tex]A'(t) = 15 - \frac{A(t)}{100}[/tex]

Rewrite:

[tex]\frac{dA}{dt} = 15 - \frac{A}{100}[/tex]

Multiply through by dt

[tex]dA = [15 - \frac{A}{100}]* dt[/tex]

Make dt stand alone

[tex]\frac{dA}{15 - \frac{A}{100}} = dt[/tex]

[tex]ln|15 - \frac{A}{100}| = -0.01t + ln\ c[/tex]

Express as exponents

[tex]15 - \frac{A}{100} = ce^{-\frac{t}{100}}[/tex]

Multiply through by 100

[tex]1500 - A = 100ce^{-\frac{t}{100}}[/tex]

[tex]A = 1500 - 100ce^{-\frac{t}{100}}[/tex]

[tex]A = 1500 - 100ce^{-0.01t}[/tex]

Apply initial conditions

[tex]A(0) = 0[/tex]

Substitute 0 for t in: [tex]A = 1500 - 100ce^{-0.01t}[/tex]

[tex]0 = 1500 - 100ce^{-0.01*0}[/tex]

[tex]0 = 1500 - 100ce^{0}[/tex]

[tex]0 = 1500 - 100c[/tex]

[tex]100c = 1500[/tex]

[tex]c = 15[/tex]

Substitute 15 for c in [tex]A = 1500 - 100ce^{-0.01t}[/tex]

[tex]A = 1500 - 100*15e^{-0.01t}[/tex]

[tex]A = 1500 - 1500e^{-0.01t}[/tex]

Factorize:

[tex]A = 1500(1 - e^{-0.01t})[/tex]

How long to empty the tank

Set A to 0

[tex]1500(1 - e^{-0.01t}) = 0[/tex]

Divide through by 1500

[tex]1 - e^{-0.01t} = 0[/tex]

Collect Like Terms

[tex]e^{-0.01t} = 1[/tex]

Take ln of both sides

[tex]ln\ (e^{-0.01t}) = ln\ 1[/tex]

[tex]-0.0t = 0[/tex]

[tex]t = 0[/tex]

Answer:

0.9692 = 96.92% probability of getting someone in the 22-29 age bracket or someone who agreed to respond.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Find the probability of getting someone in the 22-29 age bracket or someone who agreed to respond.

357 people.

281 in the 22-29 age bracket + 65 in the 18-21 that agree to respond. So

[tex]p = \frac{281+65}{357} = 0.9692[/tex]

0.9692 = 96.92% probability of getting someone in the 22-29 age bracket or someone who agreed to respond.

Answer:

4x+4

Step-by-step explanation:

F[G(x)]

=F(3x+2)

=2(3x+2)-1

=6x+4-1

=6x+3

F[G(x)]-F(x)

=6x+3-(2x-1)

=6x+3-2x+1

=4x+4

Answer:

D

Step-by-step explanation:

m angle b equals 77 now we have to find the arc of andle b.

so use the equation arc AC = 2(77)

arcAC = 154

360 - 154

=206

206/2

= 103

Answer:

C. 245.5

Step-by-step explanation:

(5.5) (3) + (12.5) (3) + (5.5) (3) + (12.5) (5.5) + (12.5) (5.5) + (3) (12.5)

= 245.5

Answer:

its 245.5

Step-by-step explanation:

Answer:36

Step-by-step explanation: 6 sided dice = 6 possible outcomes

6×6=36

The required number of outcomes is 36 after rolling all six dice. Option B is correct.

Jane has to roll a set of six standard dice and record the results of each
trial. She wonders how many different outcomes are possible after rolling all six dice. the total number of possible outcomes for each trial to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events for a system of the certain events.

For 1 dice, sample space = { 1  2  3  4  5  6}
total possible outcome = 6
Now 6 dice roll at once and the total outcome = 6 * 6
                                                                                = 36
Meanwhile, Jane has a total of 36 outcomes.

Thus, the required number of outcomes is 36 after rolling all six dice. Option B is correct.

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9514 1404 393

Answer:

Step-by-step explanation:

The turning point (maximum or minimum) of quadratic function ...

  f(x) = ax² +bx +c

is at x = -b/(2a).

Here, this means the maximum profit will be had when the number of widgets produced weekly is ...

  x = -88/(2(-2)) = 22

The profit at that level of production is ...

  P(22) = (-2·22 +88)(22) -384 = 44(22) -384 = 968 -384 = 584 . . . hundreds

22 widgets must be produced weekly for the maximum weekly profit of $58,400.

Answer:

B

Step-by-step explanation:

2/5 is equal to 40 percent

Answer:

36 teachers total

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of right triangular base = ½ × 3.2 × 6 = 9.6 square yards

Volume = 96 × 2 = 19.2 cubic yards

Answer: 10

Step-by-step explanation:

To work out the area of this shape you have to split this into 1 square and 2 triangles.

The formula of the area of the triangle is base x height divided by 2

The first triangle on the left would be 2x2/2=2

The area of second triangle on the left is 4x2/2=4

The formula for the square is base x height.

Then to work out the area of the square you do 2x2=4

So, to work out the area of the whole shape you add all of the areas together.

2+4+4=10

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If

f(x) = ax ³ + bx ² - 5x + 9

then

f '(x) = 3ax ² + 2bx - 5

Given that f (-1) = 12 and f '(-1) = 3, we get the system of equations

-a + b + 5 + 9 = 12

3a - 2b - 5 = 3

or

-a + b = -2

3a - 2b = 8

Multiply through the first equation by 2 and add it to the second one to eliminate b and solve for a :

2(-a + b) + (3a - 2b) = 2(-2) + 8

-2a + 2b + 3a - 2b = -4 + 8

a = 4

Substitute this into the first equation above to solve for b :

-4 + b = -2

b = 2

Answer is a = 4, b = 2.

First derivative of an equation:

The derivative formula is one of the basic concepts used in calculus and the process of finding a derivative is known as differentiation. The derivative formula is defined for a variable 'x' having an exponent 'n'. The exponent 'n' can be an integer or a rational fraction. Hence, the formula to calculate the derivative is:

               [tex]\frac{d}{dx} x^{n} = n x^{n-1}[/tex]

(Given)

[tex]f(x) = ax^{3} + bx^{2} - 5x + 9[/tex]

And f'(x) we get ,  [tex]f'(x) = 3ax^{2} + 2bx-5[/tex]

Now, also given f(-1) = 12

=> [tex]f(-1) =a (-1)^{3} + b(-1)^{2} - 5 (-1) + 9[/tex]

=> 12 = -a + b +5 + 9

=> a = b + 2 ------( 1 )

Also given,  f'(-1) = 3.

i.e.,  [tex]3 = 3a(-1)^{2} + 2b(-1) - 5[/tex]

3 = 3a -2b -5

From eq - (1) we can replace a.

3 = 3(b + 2) - 2b - 5

3 = 3b + 6 - 2b - 5

b = 2.

a = 4.

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Answer:

Step-by-step explanation:

Given function:

We are looking for the value of x at f(x) < 2000

Solve the equation:

After 17 years and 3 months the car value drops below $2,000

Put f(x)=2000 and solve

Atleast 18 years

You will recieve in 18the year going on

Answer:

The answer is D.

Step-by-step explanation:

Just took the test. Got 100%.

Answer:

<8 corresponds with <3

Step-by-step explanation:

Given

GPA = NO + B1Study + B2work + B3leisure + B4sleep + u

1. No it makes no sense. There is an intercorellation between these explanatory variables. Changing study while holding the rest variables constant or fixed would not make sense. If study us changed then one or more of the other predictors should be changed so that they can still be equal to 168

2. Study is a perfect linear function of work, leisure and sleep. There is the problem of multicollinearity among these independent variables. One assumption of the MLR is no multicollinearity.

3. To reformulate model, you have to drop the variable that is having the issue. Let's say that leisure is dropped from the model. After this the assumption is satisfied.

GPA = b0 + B1Study + b2sleep + b3work + u

Answer:

14

Step-by-step explanation:

7x2=14

Answer:

14

Step-by-step explanation:

x/2=7 multiply 2 on both sides x=14

Answer:

D. The same point

Step-by-step explanation:

An equilateral triangle can be defined as a type of triangle that has all of its sides being equal in length.

This ultimately implies that, an equilateral triangle comprises of three (3) congruent sides and as such creates three (3) congruent angles that measures 60° each. Also, the sum of the congruent angles of an equilateral is always equal to 180°.

Hence, in an equilateral triangle, the incenter, orthocenter, circumcenter, and centroid are the same point i.e all of the three (3) centers fall on the same point or spot.

Answer:

Present age =

fathers= 6x+6 = 36

sons = x+6 = 11

Step-by-step explanation:

-6:

father's age = 6x

sons age = x

Present age =

fathers= 6x+6

sons = x+6

+4 yrs:

father's age = 6x+6 +4 = 6x + 10

sons age = x+6 + 4 = x+ 10

3(6x +10) = 8( x + 10 )

18x+30 = 8x+80

18x-8x = 80-30

10x = 50

x= 50/10 = 5

~~~~~~~~~~

Present age =

fathers= 6x+6 = 36

sons = x+6 = 11

I hope im right!!!

Answer:

1.5x-y=6

x-y=5+6

x-y=11

2.x + 6y =4

x+y=6-4

X+y=2

xy=2

SORRY THE WRONG

Step-by-step explanation:

FROM INDONESIAN

Answer:

31.55+5.45

Step-by-step explanation:

4.55+27 would go to 31.55

31.55+5.45

Answer: 37

Step-by-step explanation:

4.55 + 27 = 31.55

31.55 + 5.45 = 37