If the cost, C. for manufacturing x units of a certain product is given by C = x2 + 35x + 35, find the number of units manufactured at a cost of $10,235.

Answers

Answer 1

Answer: 85 units

Step-by-step explanation:

x^2 +35x + 35 = 10235

-10235 on both sides

x^2 + 35x -10200

Now Factor

( x - 85 ) ( x + 120 )

Now plug in for x using 85 or -120

(85)^2 + 35(85) + 35

7225 + 2975 + 35 = 10235

So 85 is the right answer


Related Questions

A clown uses canisters of helium to make balloons. The graph shows the number of canisters used and the number of balloons created. What does the point (0,0) represent? A It shows the number of balloons created using 1 canister of helium. B It shows that when 0 canisters of helium are used, 0 balloons are created. C It shows that when 0 canisters of helium are used, 5 balloons are created. D It shows the number of canisters needed to create 10 balloons.

Answers

Answer:

B It shows that when 0 canisters of helium are used, 0 balloons are created

Step-by-step explanation:

from the graph, we can see that point (0,0) means that when the number of canisters of helium used is 0, then the number of balloons created is also 0

the closest answer to this observation is:

B It shows that when 0 canisters of helium are used, 0 balloons are created

find the first three terms of the sequence with nth term 3n-2​

Answers

Answer:

To find out the first three terms of 3n - 2 substitute 1 ,2 and 3 into the equation.

so the three terms a

 3(1)-2=1

3(2)-2=6-2=4

3(3)-2=9-2=7

As you can see the sequence goes up in 1,4 and 7.To find out the 10th term you also substitute 10 into the equation so 3(9)-2=18-2=16

so 16 is the tenth term

Hope this helped!

scientific notation

Answers

Answer:

1.45

Step-by-step explanation:

not sure but trying to help :)

Answer with proper units too!

Answers

Answer:

Step-by-step explanation:

1. Area of a parallelogram = base * height

 area = 10 * 4 = 40 in squared

perimeter = 2(a + b)

perimeter = 2 * (5 + 10) = 2 * 15 = 30in

2. Area of triangle = 1/2 * base * height

area = 1/2 * 21 * 8 = 84 cm squared

perimeter = sum of outer perimeters

perimeter= 10cm + 17cm + 21cm = 48cm

3.  area of trapezium = 1/2 * (a+b) * h

 area = 1/2 * (6+12) * 4 = 36ft squared

 perimeter = sum of outer perimeters

 perimeter = 5ft + 6ft + 12ft + 5ft = 28ft

A standard working day is 8 hours. If you were to work 125% of a normal day, how many total hours would you work?

Answers

Answer:

10

Step-by-step explanation:

Whenever we see "of" we know its multiplication

125% x a normal day

125% x 8

[tex]\frac{125}{100}[/tex] x 8

10

:)

g Z-Test for Population Means Calculate z-statistic of a population mean. Keith sampled 10 private universities in Colorado and recorded the tuition cost. Keith wants to test the hypothesis that the tuition of these 10 universities is more expensive than the national average tuition, which is $29,056 with a population standard deviation of $3,339. z equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator sigma over denominator square root of n end fraction end style end fraction If the sample mean is $31,650, what is the z-score

Answers

Answer: 2.46

Step-by-step explanation:

Formula for x-score is given by :-

[tex]Z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

, where [tex]\overline{x}[/tex] = Sample mean , [tex]\mu[/tex]= population mean, [tex]\sigma[/tex] = population standard deviation, n= sample size.

As per given , n=10

[tex]\mu[/tex]= $29,056

[tex]\sigma[/tex] = $3,339

[tex]\overline{x}[/tex] =  $31,650

Then,

[tex]z=\dfrac{ 31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766017}}\\\\=\dfrac{2594}{1055.88451073}=2.45670807142\approx 2.46[/tex]

Hence, the z-score = 2.46

What is the Domain and range of (3,4)(5,7)(-3,8)(2,0)(1,3)

Answers

The domain is all x-values.

The range is all y-values.

Domain: 3, 5, -3, 2, 1

Range: 4, 7, 8, 0, 3

Best of Luck!

Find the Slope using the Slope ​

Answers

Answer:

5/5 which simplifies to 1

Step-by-step explanation:

Answer:

m= 5/5

Step-by-step explanation:

y2= 9

y1=4

x2=8

x1=3

9-4 = 5

8-3 = 5

Therefore the slope/rate of change is 5/5


I don't understand this ​

Answers

Answer:

tytytytyt

Step-by-step explanation:

Answer:

i don't either

Step-by-step explanation:

An online music company offers 15 downloads for $19.75 and 40 downloads for $43.50. Each price includes the same one-time registration fee. What is the cost of each download and the registration fee?what could be the equation

Answers

Answer:

s

Step-by-step explanation:

You will add numbers that are relevant to your life and then find the square root of that sum in simplified radical form. Find the sums of: A. All of the ages of the people in your household. B. All the digits in your telephone number, including the area code. C. All of the letters in your first name if you let a

Answers

Step-by-step explanation:

A. Dad = 50, Mum  = 47, Sister = 22

me = 19

Total Sum = 50 + 47 + 22 + 19

= 136

√136 = 11.662.

B. + 1435 797 202 = 40

√40 = 6.33

C. BRYAN = 2 + 18 + 25 + 14 = 59

√59 = 7.68.

simplify to create an equivalent expression -4(z+3)-4(5-4z)

Answers

the simplified answer is 12z-32

What is the expanded form for 102,200

Answers

Answer: 100,000 + 2000 + 200

Hope this helps!

Please mark Brainliest!

Answer:

100,00+2,000+200

Step-by-step explanation:

PLEASE HELP!!! URGENT

Answers

Answer:

scale factor = ratio of corresponding side= 0p/xy = 4/10= 2/5

∠x = 58

∠y= 180-49-58= 73

Step-by-step explanation:

Gabriel surveyed 1000 of the students in his school about their favorite color. 55% said their favorite color was purple. How many students' favorite color was purple?

Answers

Answer:

550 students

Step-by-step explanation:

Answer:

550 students

Step-by-step explanation:

evaluate 7m+2n-8p/n m=4, n=2, and p=1.5

Answers

Steps to solve:

7m + 2n - 8p/n

~Substitute

7(4) + 2(2) - 8(1.5)/2

~Simplify

28 + 4 - 12/2

~Simplify

28 + 4 - 6

~Add

32

~Subtract

26

Best of Luck!

1/2 + .50 + 1/5 help ):

Answers

Answer:

the answer is 1.2 or 1 1/5

Step-by-step explanation:

Answer:

.50 = 1/2 so its 1/2 plus 1/2 plus 1/5 which you turn 1/5 and 1/2 in ten and it now 5/10 plus 5/10 plus 2/10 with equals 1 and 2/10 or otherwise 1 and 1/5

Step-by-step explanation:

1. You want to purchase a car that costs $25,000. You must pay a 10% down payment. How much is this?

Answer: 2,500

2. What do you still owe?

Answer: 22,500

3. Determine the monthly payment for 60 months with an APR of 5.5%. Round to the nearest cent.

Answer: 22,500(0.055/12)/(1-(1+0.055/12)^(-60)= 429.78 rounded to the nearest cent.

4. How much do you pay all together at the end of the 60 months including the down payment and interest charges?

I need help with number 4. Please.

Answers

Answer: If interest is not given, it would be 25,000+ interest as your answer

Step-by-step explanation:

Given g(x) = -x – 3, find g(1).

Answers

g(1) = -4
Picture attached for explanation

74.052 using expanded form with fractions and expanded form with decimals

Answers

Answer:

[tex]74.052 = 7 * 10 + 4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001[/tex]

[tex]74.052 = 7 * 10 + 4 * 1 + \frac{0}{10} + \frac{5}{100} + \frac{2}{1000}[/tex]

Step-by-step explanation:

Given

74.052

Required

Write in Expanded Form

In Decimals

[tex]7 = 7 * 10[/tex]

[tex]4 = 4 * 1[/tex]

[tex]0 = 0 * 0.1[/tex]

[tex]5 = 5 * 0.01[/tex]

[tex]2 = 2 * 0.001[/tex]

Bring these together,

[tex]74.052 = 7 * 10 + 4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001[/tex]

In Fraction

[tex]74.052 = 7 * 10 + 4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001[/tex]

Convert decimals to fraction

[tex]74.052 = 7 * 10 + 4 * 1 + 0 * \frac{1}{10} + 5 * \frac{1}{100} + 2 * \frac{1}{1000}[/tex]

[tex]74.052 = 7 * 10 + 4 * 1 + \frac{0}{10} + \frac{5}{100} + \frac{2}{1000}[/tex]

How do you write y − 4 = 2(x − 6) in slope-intercept form?

Answers

Sorry answered for more points for more questions I'm so sorry.

Y=2x-8 is the answer

Find the inverse transform by convolution: 4 (s-3)(s-2) C.27.

Answers

I suppose you're asking about the inverse Laplace transform of

[tex]F(s)=\dfrac4{(s-3)(s-2)}[/tex]

by way of the convolution theorem.

The theorem itself says that

[tex]\mathscr L^{-1}\{A(s)B(s)\}=(a*b)(t)[/tex]

where [tex]A(s)[/tex] and [tex]B(s)[/tex] are the Laplace transforms of [tex]a(t)[/tex] and [tex]b(t)[/tex], respectively.

Let [tex]A(s)=\frac1{s-3}[/tex] and [tex]B(s)=\frac1{s-2}[/tex]. Then

[tex]a(t)=\mathscr L^{-1}\left\{\dfrac1{s-3}\right\}=e^{3t}[/tex]

[tex]b(t)=\mathscr L^{-1}\left\{\dfrac1{s-2}\right\}=e^{2t}[/tex]

So we have

[tex]\mathscr L^{-1}\left\{\dfrac4{(s-3)(s-2)}\right\}=e^{3t}*e^{2t}[/tex]

Convolution is defined as

[tex](a*b)(t)=\displaystyle\int_0^t a(t-\tau)b(\tau)\,\mathrm d\tau[/tex]

The convolution of [tex]e^{3t}[/tex] and [tex]e^{2t}[/tex] is

[tex]e^{3t}*e^{2t}=\displaystyle\int_0^t e^{3(t-\tau)}e^{2\tau}\,\mathrm d\tau[/tex]

[tex]=\displaystyle e^{3t} \int_0^t e^{-\tau}\,\mathrm d\tau[/tex]

[tex]=e^{3t}(1-e^{-t})=e^{3t}-e^{2t}[/tex]

We end up with

[tex]\mathscr L^{-1}\left\{\dfrac4{(s-3)(s-2)}\right\}=\boxed{4(e^{3t}-e^{2t})}[/tex]

Integers are ________ whole numbers. braineist for first person to get it right and hurry im on a time limit 20 points for it also

Answers

sometimes whole numbers

Step-by-step explanation:

maybe

What are the values of the two 3s in 3,435?

Answers

Answer:

The first 3 is in the thousandths place. it is worth 3 thousand. The second 3 is in the tenths place. It is worth 30.

Answer: 3,435

Least place value to largest largest place value-

5-ones place

3-tens place

4-hundreds place

3-thousands place

I hope that worked!

Perform the operation (7x3)+(- 2x3/8x2)

Answers

(7x3) + (-2 x 3/ 8 x 2)
21 + (-6) (16)
21+96
117

I need help and it’s due today

Answers

Answer: same bruh

Step-by-step explanation:

what is a cumulative gragh

Answers

Answer:

Cumulative frequency is the running total of the frequencies. On a graph, it can be represented by a cumulative frequency polygon, where straight lines join up the points, or a cumulative frequency curve.



2/5 y - 4 + 7 - 9/10 y ​

Answers

Answer:

-1/2y +3

Step-by-step explanation:

2/5y -4 + 7 -9/10y=

combine like terms

-1/2y +3

What is 45divided by 9 ?

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Step 1:

45 ÷ 9

Answer:

5

Hope This Helps :)

Find the volume of a cylinder with height 25cm and radius 5cm

Answers

Answer:

1963.5

-------------

Answer:

1,932 cm approxmately.

Step-by-step explanation:

Your formula is V= π5²h

V= 3.14 x 5² x 25

V= ≈1932 cm

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