4. One printing machine printed 1920 books in 40 hours this week. A
second printing machine printed for 30 hours this week but printed books
at twice the hourly rate of the first machine. How many books did the
second machine print this week?

Answer:

\(t_4 = 20\)

Step-by-step explanation:

The base case in the recursive function are:

\(t_1 = 1\)

\(t_2 = 2\)

The recursive case is equal to:

\(t_n = 2t_{n-1} + 3t_{n-2}\)

So replace \(t_n\) for \(t_4\):

\(t_4 = 2t_{3} + 3t_{2}\)

In the new expression \(t_2\) is a base case so you don't have to worry for that part, but \(t_3\) is still the recursive case so evaluate again in \(t_n\)

\(t_3 = 2t_{2} + 3t_{1}\)

\(t_2\) and \(t_1\\\) are define as base cases so you replace for it's numbers:

\(t_3 = 2(2) + 3(1) = 7\)

Now return to \(t_4\) and replace for the new values:

\(t_4 = 2(7) + 3(2) = 14 + 6 = 20\)

So the final answer is 20

A correct conclusion that can be reached is that: D) The Vikings averaged more points at home games, but were more consistent when playing on the road.

An arithmetic average is also referred to as mean and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

This ultimately implies that, an average score is a mean score and it can be calculated by dividing the total number of scores obtained by the total number of Vikings players.

In conclusion, we can reasonably infer and logically deduce that Walker Vikings were more consistent when playing on the road, but averaged more points at home games.

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Answer:

I hope this helps!

Answer: The answer is in the picture.

Step-by-step explanation: But what is the sum?

Answer:

A baseball player had 4 hits in 8 games. At this rate, how many hits will the baseball player have in the next 28 games? The baseball player had 4 hits in 8 games, If 4 hits =8 games,then in 1 game there are 0.5 hits.

Please mark me as brainly

Answer:

3√41

Step-by-step explanation:

a^2+b^2=c^2

rearrange this to make x (a or b it doesn't matter) the subject

√b=c^2-a^2

now substitute this in:

√b=25^2-16^2

=369

then simple do the square root

√369

=3√41

Hope this helps!

Answer: The answer is 20  3/16

Step-by-step explanation:.

Its B.

The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The equations are given below.

6x = 52 - 2y

6x + 2y = 52

3x + y = 26                   ...1

5x + 7y = 70

(5/7)x + y = 10              ...2

Subtraction equation 2 from equation 1, then we have

3x - (5/7)x = 26 - 10

(16/7)x = 16

x = 7

Then the value of 'y' is given as,

3(7) + y = 26

21 + y = 26

y = 5

The solution of the equations 6x = 52 − 2y and 5x + 7y = 70 by elimination method will be (7, 5).

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9514 1404 393

Answer:

  D.  2,787.64 yd​

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = (1/3)πr²·h

The radius (r) is half the diameter, so is (22 yd)/2 = 11 yd. Putting the given values into the formula, we have ...

  V = (1/3)π(11 yd)²(22 yd) = 887.333π yd³ ≈ 2787.64 yd³ . . . . matches D

Answer:

0,-5

My above answer is correct hope this helps.

Answer:(0,-5)

Step-by-step explanation:

Answer:

Cross multiplication

Step-by-step explanation:

Answer:

r≈2.82

Step-by-step explanation:

Hope this helps and have a great day!!!

Step-by-step explanation:

that can help you

Answer:

7

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a hexagon has 6 sides , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

12

the polygon has 5 sides , so

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

y + 90 + 120 + 90 + 110 = 540

y + 410 = 540 ( subtract 410 from both sides )

y = 130

13

the polygon has 7 sides , so

sum = 180° × (7 - 2) = 180° × 5 = 900°

sum the interior angles and equate to 900

p + 90 + 141 + 130 + 136 + 123 + 140 = 900

p + 760 = 900 ( subtract 760 from both sides )

p = 140

The fraction of the bag that are red and yellow are  \(\frac{17}{30}\).

To calculate the total fraction of red and yellow candies in the bag of skittles we add the two fractions together.

To add the two fractions together but first rewrite the fractions with a common denominator;

\(\frac{4}{15} =\frac{8}{30}\)

\(\frac{3}{10} =\frac{9}{30}\)

\(\therefore\frac{8}{30} +\frac{9}{30} \\\\=\frac{17}{30}\)

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9514 1404 393

Answer:

  171° (angle) and 9° (supplement)

Step-by-step explanation:

If 'a' represents the measure of the angle then ...

  a = 19(180 -a) . . . . . the angle is 19 times its supplement

  20a = 19(180) . . . . add 19a

  a = 19(9) . . . . . . . . divide by 20

  a = 171 . . . degrees (the angle)

  180-a = 9 . . . degrees (the supplement)

"After first" will be the one comma that is lacking in this sentence. Imani and Jack, the two best runners, came in first and second, so that is the perfect phrase.

In order to create equilibrium, add a comma after a conjunction. We drove to the beach but turned around since there was no more space in the parking lot. The placement of a comma after a conjunction as opposed to before is one of the most frequent mistakes with commas: Nancy always found time despite having a busy schedule to visit the gym.

explanation :

If any of these seven coordinating conjunctions—and, but, for, or, nor, so, yet—are used to unite independent sentences, you should use commas to separate them.

Place commas after the preceding opening (a) sentences, (b) phrases, or (c) words.

"After first" will be the one comma that is lacking in this sentence. Imani and Jack, the two best runners, came in first and second, so that is the perfect phrase.

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Answer:

A A A B B B C C C  

Step-by-step explanation:

We have the Greedy algorithm, the solution at any time is considered an optimal algorithm.

In our case the sequence is x x x y y y z z z

In addition to the Greedy algorithm, the first advertiser chooses their choice without considering the minimum methods.

Now we must consider the worst case of greedy algorithm so we must suppose that it starts from advertiser C, then B and followed by A.

Therefore the worst option would come being:

C C C B B B, in addition that A cannot bid for any query.

Which means that the sequence of the balanced algorithm will be A A A B B B C C C

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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The Area of Square is 81 cm².

let the side of the square which is length for both rectangles be a.

let the width of rectangle be x and y.

So, x+ y= a

sum of perimeters= 54

2 (a +x ) + 2 (a+ y) = 54

2a+ 2x + 2a+ 2y = 54

2a + 2a + 2(x+ y) = 54

4a + 2 (a) = 54

4a + 2a = 54

6a = 54

a= 54/6

a= 9

So, area of square

= 9 x 9

= 81 cm²

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Answer:

294 cubic centimetres

Step-by-step explanation:

if both are similar then you take 240(pyramid y) -135(pyramid x) = 105(difference between the two) then take 189(pyramid x)+ 105 = 294

To solve the given equation isolate the variable z to one of the sides of the equal sign:

z has a value of 16.

Area of a triangle = 1/2 x b x h

25 = 1/2 x b x 5/6

Divide both sides by1/2

50 = b x 5/6

Divide both sides by 5/6

b = 60m

Step-by-step explanation:

I just did in the other posting. how often did you post it ?

this is a trick question. the triangle at the top is not an isoceles triangle.

we use Pythagoras for an the steps.

so, the left part of the baseline (split by the height) is calculated by

12² = 10² + part²

144 = 100 + part²

part = sqrt(44) = 6.633249581... ft

the other part is then

20 - 6.633249581... = 13.36675042... ft

and the second leg of the large triangle is

leg² = 10² + 13.36675042...² = 278.6700168...

leg = 16.69341238... ft

P = 12 + 16.69341238... + 8 + 8 + 20 = 64.69341238... ft ≈

≈ 64.69 ft

please see the answer to the other posting for more details.

Answer: \(5\sqrt 5\)

Step-by-step explanation:

Sol \(\sqrt 125\) = \(\sqrt{25.5}\)

= \(\sqrt{25}\)  x  \(\sqrt{5}\)

\(5 \sqrt{5}\)

Answer:

Step-by-step explanation:

the slope of line n is also -3 as it is parallel to m

The answer is A

Answer:

Jonny have 100 dollars and he gave his 2 friend's $20 how much does he have left?

Step-by-step explanation:

100-40=60

Jonny has 60 dollars left

Answer:

100%-39%=61% which is 0.61

Step-by-step explanation:

Answer:

24.5%

Step-by-step explanation:

Given

P(Off-Campus) = 0.30

P(Part-Time Job | Off-Campus) = 0.62

P(Part-Time Job | On-Campus) = 0.65

Inferred

P(On-Campus) = 0.70

P(No Part-Time Job | Off-Campus) = 0.38

P(No Part-Time Job | On-Campus) = 0.35

Calculation

P(No Part-Time Job | On-Campus) = P(No Part-Time Job ∩ On-Campus)/P(On-Campus)

0.35 = P(No Part-Time Job ∩ On-Campus)/0.70

0.245 = P(No Part-Time Job ∩ On-Campus)

Therefore, 24.5% of students that live on campus do not have a part-time job.