Parallel lines cut by transversal line what is the measurement of angle D?

Isaac started an iPhone screen replacement business. he charges $15 for each screen his shop replaces, the value of the marginal product of labor for the 5th worker is mathematically given as  

M=$90

Generally, It is the change in value or production that occurs when a new worker is hired.

Therefore, the value of the output from hiring 4 & 5workers

V4= $ 15* 43

V4= $ 645

and V8

V5=$ 15 * 49

V5 = $ 735

In conclusion, the marginal product

M= $ 750 - $ 645

M=$90

Read more about marginal

https://brainly.com/question/7781429

#SPJ1

Answer:

  see attached

Step-by-step explanation:

We prefer to solve these by rewriting the equations to the form f(x) = 0, then having a graphing calculator show us the x-intercepts of f(x). This is illustrated in the second attachment.

__

The applicable rules of logarithms are ...

We can apply these rules to the given expressions to solve for x algebraically.

__

Taking antilogs, we have ...

  (x -1)(5x) = 10^2 = 100

  x(x -1) = 20 . . . . . . . . . . . divide by 5

  x² -x -20 = 0 . . . . subtract 20, put in standard form

  (x -5)(x +4) = 0 . . . . factor

  x = 5  or  x = -4 . . . . . . the latter is an extraneous solution

  x = 5 only

__

Taking antilogs, we have ...

  x +5 = (x +1)(x -1)

  x² -x -6 = 0 . . . . . . . subtract (x+5), write in standard form

  (x -3)(x +2) = 0 . . . . factor

  x = 3  or  x = -2 . . . . . . the latter is an extraneous solution

  x = 3 only

__

Taking natural logarithms, we have ...

  x² = 4x +5

  x² -4x -5 = 0 . . . . . write in standard form

  (x -5)(x +1) = 0 . . . . factor

  x = 5  or  x = -1 . . . . values that make the factors zero

__

Taking antilogs, we have ...

  5x² +2 = x +8

  5x² -x -6 = 0 . . . . . write in standard form

  (5x -6)(x +1) = 0 . . . . factor

  x = 6/5  or  x = -1 . . . . values that make the factors zero

_____

Additional comment

A solution is extraneous when it does not satisfy the original equation. Here, solutions are extraneous because they make the argument of the log function be negative in the original equation. The log function is not defined for negative arguments. (Actually, it gives complex values for negative arguments.)

We could have gone to the trouble to determine the applicable domain of each of the log equations. It is easier to (a) use a graphing calculator, or (b) test the solutions found.

Answer:

the answer is down below

Step-by-step explanation:

Using the Fundamental Counting Theorem, the number of possible sequences of eight coin faces is of 256.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, there are 8 events, each with 2 possible outcomes, hence:

[tex]n_1 = n_2 = \cdots = n_8 = 2[/tex]

Hence, the total number of sequences is given by:

[tex]N = 2^8 = 256[/tex].

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866

#SPJ1

Answer:

C) 256

Step-by-step explanation:

Essentially, each coin flip is a decision, and heads or tails is the choice offered. Therefore, we calculate that there are 28 possible sequences, or 256.

Took the quiz ;)

Answer:

1133.3 liters of water after leakage.

Step-by-step explanation:

x*.30=340

x=340/.30

x=1133.33

Answer:

50

Step-by-step explanation:

to find the mean you have to add all the number up together. then divide that number by how many numbers it is in all:

48+50+5+60+37+50=300

divide 300 by 6= 50

Answer: it is the first choice which is 50 .

Step-by-step explanation: to find the mean it means you have to find the average total so you will have to add them together and divide by 6 as they are 6 numbers . When you add them the answer is 300 , divide by 6 the answer is 50 .

SEE THE PICTURE ATTACHED

HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST . THANKS .

The length of fence she will need to divide the garden is 9.22 m.

A Rectangle is a quadrilateral having four sides and four right angles in which both sides are parallel and opposite to each other.

The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared.

Let us consider the length of the fence be 'x'  

Using Pythagoras Theorem,

x² = 6² + 7²

[tex]x^{2} =36+49\\x^{2} = 85[/tex]

x = 9.22 m

So, the length of fence is 9.22 m.

Learn more about rectangle here:

brainly.com/question/2687959

#SPJ1

Answer:

9.22

Step-by-step explanation:

edge

Answer:

n=10

Step-by-step explanation:

6=3n/5

multiply both sides by 5

30=3n

divide both sides 3

10=n

Answer:

The answer is A.

Step-by-step explanation:

A polyhedron is a three-dimensional solid made up of polygons. It has flat faces, straight edges, and vertices. For example, a cube, prism, or pyramid are polyhedrons.

The probability of getting first marble is red and the second

marble is blue is 4/15.

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes.

Given that:

Number of red marbles= 8

Number of blue marbles= 7

Total Number of marbles= 8+7 = 15 marbles.

P(red Marble) =[tex]\frac{8}{15}[/tex]

No replacement, now the total marbles = 14

P( blue marbles) = 7/14

Now, P( first marble is red and the second marble is blue.)

= 8/15*7/14

= 4/15

Hence, the probability of getting first marble is red and the second

marble is blue is 4/15.

Learn more about probability here:

brainly.com/question/21547529

#SPJ1

Answer:

the number of apple trees = 45

Step-by-step explanation:

a) the total mass of apples produced = 25x

b) the number of containers of fertilizer required :

[tex]=\frac{0.8x}{5} \\= 0.16x[/tex]

c)

(i) the equation :

648 = 90 × (0.16x)

⇔ 648 = 14.4x

(ii) solving :

648 = 14.4x

⇔ x = 648 ÷ 14.4

      = 45

Answer:

x = 3

Step-by-step explanation:

3^3 = 4(3) + 15 = 27

Answer:

7.065 in^2

Step-by-step explanation:

Answer:

7.06858...in²

if we are using 3.14

7.065in²

Step-by-step explanation:

3 / 2 = 1.5

A = πr²

A = π(1.5²)

A = π(2.25)

A = 7.068in²

(if we are using 3.14 for pi)

A = πr²

A = 3.14(1.5²)

A = 3.14(2.25)

A = 7.065in²

Answer:

n=-6

Step-by-step explanation:

You would first multiply by 3 because you are trying to get n by itself?

then you will get the equation n-6=-12 then you will add six cause again you want n by itself and you get n=-6 because -12 plus 6 is -6

Answer: $19

Step-by-step explanation:

    We will set up equations to solve and pull the information we need from the given passage. Let x be new york cheesecakes and y be chocolate marble.

    Lea sold 14 new york and 11 chocolate marble. She made $293 total.

         14x + 11y = 293

    Adam sold 7 new york and 2 chocolate marble for $80 total.

         7x + 2y = 80

    Now I will graph the two equations. The y-coordinate in the point of intersection is the solution is the answer to your question.

         (6, 19)

         $19

    The cost for one chocolate marble cheesecake is $19.

Answer:

Add the fractions together on the right side of the equation.

Step-by-step explanation:

Notice that two fractions on the right side of the equation in the previous step have the same denominator.  If two fractions have the same denominator, we can simply add the numerators together and place that over the common denominator.

[tex]\implies \sf-\dfrac{4ac}{4a^2}+\dfrac{b^2}{4a^2}=\dfrac{-4ac+b^2}{4a^2}[/tex]

Finally, change the order of the terms in the numerator so that [tex]\sf b^2[/tex] is first:

[tex]\implies \sf-\dfrac{4ac}{4a^2}+\dfrac{b^2}{4a^2}=\dfrac{-4ac+b^2}{4a^2}=\dfrac{b^2-4ac}{4a^2}[/tex]

Therefore, the solution is:

Add the fractions together on the right side of the equation

Answer:

csc x = [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

using the identity

csc x = [tex]\frac{1}{sinx}[/tex]

then

csc x = [tex]\frac{1}{\frac{2}{5} }[/tex] = [tex]\frac{5}{2}[/tex]

Answer:

[tex]\sf Rs. \ 431\dfrac{73}{85} \quad or \quad Rs. \ 431.86[/tex]

Find the unit rate:

[tex]\rightarrow \sf 3\dfrac{7}{9} m = Rs. \ 212\dfrac{4}{5}[/tex]

[tex]\rightarrow \sf 1 m = Rs. \ \dfrac{212\dfrac{4}{5}}{3\dfrac{7}{9} }[/tex]

[tex]\rightarrow \sf 1 m = Rs. \ \dfrac{4788}{85} \quad or \quad Rs. \ 56\dfrac{28}{85}[/tex]

Then find the cost of 7 2/3m cloth:

[tex]\rightarrow \sf 7\dfrac{2}{3} \ m = Rs. \ \dfrac{4788}{85} \ * \ 7\dfrac{2}{3}[/tex]

[tex]\rightarrow \sf 7\dfrac{2}{3} \ m = Rs. \ \dfrac{36708}{85}[/tex]

[tex]\rightarrow \sf 7 \dfrac{2}{3} \ m = Rs. \ 431\dfrac{73}{85} \quad or \quad Rs. \ 431.86[/tex]

The gcf is 6

so: 42+12= 6(7+2)

Answer:

see explanation

Step-by-step explanation:

the factors of 42 are 1, 2, 3, 6, 7, 14 ,  21, 42

the factors of 12 are 1, 2, 3, 4, 6, 12

common factors are 1, 2, 3, 6

GCF = 12

then

42 + 12 ← factor out 6 from each term

= 6(7 + 2)

Answer:

1.50 x 10^11.

Step-by-step explanation:

There 11 digits after the 1 so it is:

1.50 x 10^11.

(1495  to 3 s. f. is 150)

Answer:

shippng charge = 60 dollars

Step-by-step explanation:

5%   is .05 in decimal form

.05 x 1200 = 60 dollars

Answer: A, B

Step-by-step explanation:

A and B are unique to parallel lines, C and D are not.

100 and 28 (a lot of others)

Step-by-step explanation:

Since the inside angles of a triangle equals 180 we can just do 180-52 which is 128 after that you can make any pair you want :)

Answer:

3/8

Step-by-step explanation:

(3/4)/2=3/8

The graphs that display the same data are a.  I and II

This refers to the different ways in which a set of data are displayed in a certain place such as a bar graph, frequency table, line graph, etc.

Hence, we can see that from the evaluation of the data, there is the use of the same data in I and II as the bar and line graphs contain the same country voter turnout.

Read more about bar graphs here:

https://brainly.com/question/25718527

#SPJ4

Answer:

a

Step-by-step explanation:

The per-pound price of the mix must be: P = $2.40 per lb.

To get it, we need to take the total amount of money used in the mix, and divide it by the mass of the mixture that we get.

We will use 6lb of pinto beans, where each lb costs $2.00, so the total cost of this part is:

6*$2.00 = $12.00

We also use 4 lb of lima beans, where each pound costs $3.00, so the total cost of this part is:

4*$3.00 = $12.00

Then the total cost of the mix is $12.00 + $12.00 = $24.00

And the the mix has a total mass of 6lb + 4lb = 10lb

Then the per-pound price of the mix must be:

P = $24.00/10lb = $2.40 per lb.

If you want to learn more about prices:

https://brainly.com/question/1153322

#SPJ2