A factory produce bicycles at a rate of 110+0.5t^2-0.9t bicycles per week (t in weeks)
how many bicycles were produced from 8 to 2

Answers

Answer 1

Answer:

221

Step-by-step explanation:

Day 8 is the first day of the second week.

Day 21 is the last day of week 3.

We need to know the n umber of bicycles made from t = 1 to t = 3

The function is b(t) = 110 + 0.5t^2 - 0.9t, where t is in weeks.

We need to integrate the function with the limits of 1 to 3.

[tex] \int_{1}^{3} (110 + 0.5t^2 - 0.9t) dt [/tex]

[tex] \int_{1}^{3} (110 + \dfrac{t^2}{2} - \dfrac{9t}{10}) dt [/tex]

[tex]= 110t + \dfrac{t^3}{6} - \dfrac{9t^2}{20} \Biggr|_{1}^{3}[/tex]

[tex] = 330.45 - 109.72 [/tex]

[tex] = 220.7333 [/tex]

Answer: 221


Related Questions

Un agricultor a adus la piață 18 saci cu câte 42 de kg de cartofi și 28 de saci cu câte 36 kg de vinete Ce cantitate de legume a adus țăranul la piata

Answers

Answer:

the number of vegetables did farmer bring in the market is 1764 vegetables

Step-by-step explanation:

The computation of the number of vegetables did farmer bring in the market is shown below:

= 18 bags × 42 kgs + 28 bags × 36 kgs  

= 756 + 1008

= 1764 vegetables

Hence, the number of vegetables did farmer bring in the market is 1764 vegetables

Which expressions are equivalent to 4/5×15: 5x3, 4x 5/15, 4x3, 3x 15/5, 4x 15/5.

Answers

Answer:

these are the equivalwnt expressions 4/5×15=4×5/15; 5×3=3×15/5

The expression equivalent to 4/5 × 15 is 4×3

What is the BODMAS rule?

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here the expression 4/5×15 thus simplifying it we get

4/5×15= 4×3

           = 12

Hence, The expression equivalent to 4/5 × 15 is 4×3

Learn more about the BODMAS rule here:

https://brainly.com/question/29795897

#SPJ2

The Continental Drift Hypothesis asserts that
our continents have been for millions of
years.
a Decreasing
b Rising
C Moving
d Growing

Answers

Answer= growing (d).

This is due to the rising population.

I hope this helps.

A student records his weight, in pounds, at the end of every week after joining a local gym. The table shows part of the data he recorded.
Weeks (n)
Weight (w), in pounds
1 24
133.5 132 128.5
7
125
If the equation for a line-of-best fit for the data is approximately w = 134.75 – 1.4n, which statement is true?
The student weighed approximately 134.75 pounds at the time of joining the gym, and he gains an average of about 1.4 pounds each week.
The student weighed approximately 134.75 pounds at the time of joining the gym, and he loses an average of about 1.4 pounds each week.
The student weighed approximately 140 pounds at the time of joining the gym, and he gains an average of about 13.475 pounds each week.
The student weighed approximately 140 pounds at the time of joining the gym, and he loses an average of about 13.475 pounds each week.

Answers

Answer:

A

Because of the question it says

Which of the following is a formula that can be used to find the Circumference of a circle?

Answers

Should be A,
C=pi R2

6x - 8y = 12 and 5x + 8y = -1 Solve using elimination​

Answers

Answer:

Step-by-step explanation:

6x-8y=12

5x+8y=-1

add them

11x=11

x=1

y=-3/4

Answer:

(1,-3/4)

Step-by-step explanation:

Luckily, y is already opposites, so it should be easier:

6x-8y=12

5x+8y=-1    

Combine; This should end up with y eliminated -

11x = 11

x = 1

Now we can plug 1 in for x in one of the equations to find y. I'm going to use the second one.

5(1) +8y = -1

5+8y=-1

8y=-6

y=-6/8 (you can simplify)

The point at which the lines intersect is (1,-3/4)

the distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter reprecents 20 kilometers. what is the actual distance between these two cities in kilometers?

Answers

Answer:

70 kilometers

Step-by-step explanation:

Set up a proportion where x is the actual distance

[tex]\frac{1}{20}[/tex] = [tex]\frac{3.5}{x}[/tex]

Cross multiply:

x = (20)(3.5)

x = 70

So, the actual distance is 70 km

50 points!! I will mark brainliest to the correct answer :) please don’t put random answers... they will be reported. Thanks!

Answers

Step-by-step explanation:

Answer for the first question.

since the triangles are congruent so angles and sides are also congruent I.e. sides and angles are equal then,

3x - 3 = 12

3x = 12 + 3

3x = 15

x = 5

55° = 7x + y

55° = 7 * 5 + y

35° + y = 55°

y = 55° - 35°

y = 20°

Answer for the second question,

x + 70° = 2x - 2° {Exterior angle of a triangle is equal to the sum of two opposite interior angles }

2x - x = 70° + 2°

x = 72°

Now

<WXY = 2x - 2°

= 2 * 72° - 2

= 142 °

Hope it will help :)❤✔

of 24 maths teachers ,15 of them are left handed . what percentage of the teachers are right handed

Answers

Answer:

38%

Step-by-step explanation:

Percentage is 37.5% but you round up

:)

Please help and quick

Answers

4 and 2 because she is the acrooss line

State the solutions for the quadratic equation graphed below.

Answers

Need more information

how do you simplify 4 ^2 × 4^5 ​

Answers

Answer:

4^7

Step-by-step explanation:

4^2 + 4^5

=> 4^ 2+5

=> 4^7

Answer:

Step-by-step explanation:

The table shows the number of volleyballs that fit into a given number of containers. Each container holds the same number of balls. Enter the missing value from the table.​

Answers

Answer:  7

Step-by-step explanation:

It's a 1 : 3 ratio so the answer should be 7

c=3
c2 + 5








..............

Answers

Answer:

3x2+5=11

Step-by-step explanation:

Keith and Allison go out to eat their bill was 63.16$ they only paid 50.03$ what was the percent discount of their coupon

Answers

Answer:

16.04%

Step-by-step explanation:

53.03$- 63.16$= -10.13

-10.13$/63.16$=-0.16038

rounding 8 making the 3 a 4

16.04%

A windowpane is 15 inches tall and the diagonal distance from one corner to the other is
17 inches. How wide is the windowpane?

Answers

Answer:

I'd say 8 h given the provided nformation

Answer:

Step-by-step explanation:

Draw a picture. You have right triangles, so use the Pythagorean Theorem.

W² + 15² = 17²

W² = 17² - 15²

W² = 64

W = 8

Please help this question finding a side on a triangle

Answers

Answer:

The side of the hypotenuse is 12.233 centimeters.

Step-by-step explanation:

The triangle presented in the figure represents a right triangle, we know an angle and a leg adjacent to such angle and we need to determine the length of the hypotenuse, which is found by this trigonometric relation:

[tex]\cos 56^{\circ} = \frac{7.4\,cm}{x}[/tex] (1)

Where [tex]x[/tex] is the length of the hypotenuse, measured in centimeters.

Then, we clear the variable within (1):

[tex]x = \frac{7.4\,cm}{\cos 56^{\circ}}[/tex]

[tex]x = 13.233\,cm[/tex]

The side of the hypotenuse is 12.233 centimeters.

Find the total cost, to the nearest cent, for a meal at a restaurant that cost $19.74 with
an additional sales tax of 7.5%

Answers

$21.22

Multiply 19.74 times 0.075 (7.5% converted to a decimal) to get 1.48 (the amount of tax) and add that to the cost of the meal (19.74)

A srtuv
B srvut
C vrust
D rsvut

Answers

Answer:

B. srvut

Step-by-step explanation:

To name a polygon, or any shape, remember that you must name it so that each angle is in order. Basically, do not go from angle s to angle u, and instead go to angle stu or srvu.

Hope this helps :)

What is 600 minus 258?

Answers

Answer:

342

Step-by-step explanation:

Answer:

342

Step-by-step explanation:

600 - 258 = 342

Note:

Please mark as Brainliest! <3

Henry has 96 marbles. he is packing containers with 8 marbles in each container. how many containers, c, does Henry need to pack all the marbles?

Answers

Yurrr alohad decima rehas bendego
96 / 8 = 12

The answer is:

12c

Juan wants to buy some protein bars and magazines for a trip.
He has decided to buy three times as many protein bars as
magazines. Each protein bar costs $0.70 and each magazine
costs $2.50. The sales tax rate on both types of items is 734%.
How many of each item can he buy if he has $20.00 to spend?


What Is the answer I don’t know

Answers

Answer:

HI there! I am really sorry if i get this wrong, but please apperciate!

Thank you! :)

Step-by-step explanation:

So I worked this out like this:

Protein bars: 0.70 * 3 = 2.1

Magezines: 2.50

734% are the taxes as it was written. 734% decimal version is 7.34.

This is what I did next:

7.34 plus 2.1 times 2 equals  18.88. So, you can buy 2 protein bars.

7.34 plus 2.50 times 2 equals 19.68. So, you can also buy 2 magazines!

I hope this helps! Let me know if this is wrong. Thanks and have a nice day!

Of the flowers in Bella’s garden, 5/8 are tulips. What percent of the flowers in the garden are tulips?

Answers

62.5%
I hope this helps!!

Answer:

62.5

Step-by-step explanation:

PLSSS HELP ASAPPPP I BEG
MARKI BRAINLIST AND GIVING POINTS

Answers

Answer:

b = 34

m = 5

f(t) = 5x+34

Step-by-step explanation:

f(0) = 34, so that is its y intercept.

f(t) contains (0,34) and (8,74), which can be used to find the slope:

[tex]\frac{74-34}{8-0}=\frac{40}{8}=5[/tex]

Can you help me please

Answers

Answer:

its 2nd one

Step-by-step explanation:

B is the answer !!!!!!!!!

Which statement is true? Select all that apply?
A) 2/7 x 3/8 < 3/8 because 2/7 < 1
B) 2/7 x 3/8 > 3/8 because 2/7 > 1
C) 2/7 x 3/8 > 2/7 because 3/8 > 1
D) 2/7 x 3/8 < 2/7 because 3/8 < 1​

Answers

It’s A and D. Because the equation is bottom smaller than 1.

What is the surface area of the rectangular pyramid? THIS IS WORTH 50 SO PLSSS

Answers

pabigay po example formula

Step-by-step explanation:

Surface Area Of Regular Pyramid By Using A Formula

surface area = area of base + 1/2 × perimeter of base × slant height.

Part 1
Evaluate the expression for 6x − x2 for x = 0, 1, 2, 3, 4, 5, and 6. Then, drag and drop each number into the correct box to complete the table.

x 0 1 2 3 4 5 6
6x − x2



Part 2 out of 2
Complete the explanation for the pattern(s) you see.

The value of 6x − x2
decreases
from 0 at x = 0 to 9 at x = 3, then
increases
back to 0 at x = 6. Also, the values are
different
for x = 0 and 6, for x = 1 and 5, and for x = 2 and 4.

Answers

Answer:

no saboooo99999997

Step-by-step explanation:

becayzw kwk2kudhe

whsyhwbw

wiauy1y133

Divide. Enter your answer as a fraction in simplest form.

1/5 divided by 11/15


Answers

The answer in simplest form is 3/11.

Number of
Popsicles
Total Cost of
Popsicles
2
6
4
12
6
18
8
24
What is the Constant Rate of Change?

Answers

Answer:

The constant rate of change is 3

Step-by-step explanation:

Given

x   y

2   6

4   12

6   18

8   24

Required

Determine the constant rate of change

Represent the constant rate of change with k.

k is calculated using:

[tex]k = \frac{y}{x}[/tex]

When y = 24; x = 8

So, we have:

[tex]k = \frac{24}{8}[/tex]

[tex]k = 3[/tex]

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