Find two positive numbers such that their product is 180 and the sum of the first number squared plus twice times the second is a minimum.

Answers

Answer 1

Answer:

3 and 60

Step-by-step explanation:

3 × 60 = 180

180 = 180

3² + 2(60)

= 9 + 120

= 129 minimum


Related Questions

John is making a circular table that has a top with a diameter of 24 inches. Find the circumference of the table and round to the nearest tenth.

Diameter of 24

76 in
75.4 in
38
37.7

Answers

Answer:

75.4

Step-by-step explanation:

Diameter * pi = circumference.

Can someone help me with these two one step equations? I will give brilliant

Answers

P-88.66

Step to solution= calculate 23.76 - 64.9 then just add the answer which is 88.66 and p

Answer:

1.) p = 88.66

2.) m = 17

Step-by-step explanation:

1.) p - 23.76 = 64.9

p - 23.76 + 23.76 = 64.9 + 23.76

p = 88.66

2.) m + 78 = 95

m + 78 - 78 = 95 - 78

m = 17

Hope this helps and stay safe, happy, and healthy, thank you :) !!

Can anyone please help with this? I will love you forever

Answers

Answer:

1 and 2, 3 and 4, 5 and 6, 7 and 8

Step-by-step explanation:

Supplementary angles are angles that add up to 180°. Since 180° would basically be a straight line, those angles are supplementary

2, 3, 6, 7 are the correct answers!Angle 1 + (Any of the angles I mentioned) = 180 degreesPlease let me know if I am wrong.

g(n) = 4n
f(n) = 4n + 2
Find g(f(n))

Answers

Answer:

16n + 8

Step-by-step explanation:

g(f(n)) = g(4n+2)

= 4(4n +2)

= 16n + 8

Pleaseeeeeeee help me on thissssss i need helpppppp

Answers

the first step is to divide by four to both sides

In 2012, 31% of all traffic fatalities involved a drunk driver. Suppose a random sample of 400 traffic
fatalities is taken. Determine the probability that 132 or fewer of the 400 traffic fatalities involved
a drunk driver.

Answers

My name is Ankush kumar I am A boy

please help asap !!!!!!

Answers

Answer:

62 degrees

Step-by-step explanation:

so that means it is

31*2= 62 degrees(arcs)

if my answer helps please mark as brainliest.

Answer:

119

Step-by-step explanation:

Angle ADC is 61 degrees and Angle ABD is 180. 180-61 so the answer will be 119.

The opposite sides of a parallelogram
are

Answers

Answer:

Parallel

Step-by-step explanation:

In a parallelogram there are two sets of parallel lines, and they are always opposite sides.

For example: a square has 4 sides, the ones along the top and bottom are parallel and the ones along the left and right are also parallel

The two columns below give fertility of eggs of the CP strain of Drosophila melanogaster raised in 100 vials of 10 eggs each (data from R.R. Sokal). Find the expected frequencies, assuming that the mortality for each egg in a vial is independent. Use the observed mean. Calculate the expected variance and compare it with the observed variance. Interpret the results, knowing that the eggs of each vial are siblings and that the different vials contain descendant from different parent pairs. Answer: o2 = 2.417; s2 = 6.628.
Number of Eggs Hatched Number of Vials f Expected Frequency of vials
0 1
1 3
2 8
3 10
4 6
5 15
6 14
7 12
8 13
9 9
10 9

Answers

Solution :

Given the number of the edges are = 11

Therefore we take [tex]$\frac{1}{11}=0.091$[/tex]

And the number of the vials total is = 100

Thus we can multiply = [tex]$100 \times 0.091 = 9.1$[/tex]

From the table provided below, we can obtained :

1. Null hypothesis and alternate hypothesis :

The following null and alternate hypothesis needs to be tested :

[tex]$H_0:p_1=0.091, \ p_2 = 0.091, p_3=0.091, \p_4=0.091, \p_5=0.091, \p_6=0.091, \p_7=0.091,$[/tex] [tex]$p_8=0.091, \ p_9=0.091, \ p_{10}=0.091, \ p_{11}=0.091 $[/tex]

[tex]$H_a :$[/tex] some of the population differ from the values stated in the null hypothesis. It corresponds the Chi-square test that is for the Goodness of the Fit.

2. Rejection region :

It is given --

significance level, α = 0.05

number of degrees of freedom, df = 11 - 1

                                                         = 10

Then the rejection region of this test is :

[tex]$R=\{ x^2:x^2 >18.307\}$[/tex]

3. Test statistics

The Chi-Squared statistics is computed as :

[tex]$x^2=\sum_{i=1}^n \frac{(O_i-E_i)^2}{E_i}$[/tex]

    [tex]$=7.21+4.089+0.133+0.089+1.056+3.825+2.638+0.924+1.671+0.001+0.001$[/tex]

    = 21.638

4. Decision about null hypothesis

Since we see that :    [tex]$x^2=21.638>x^2_c = 18.307$[/tex], we can concluded that we can reject the null hypothesis.

5. Conclusion :

It is concluded that the null hypothesis [tex]$H_0$[/tex] is rejected. So there is enough evidence for us to claim that the population proportions differ from that stated in null hypothesis at α = 0.05 significance level.

Which of the following is a true polynomial identity?
a) a^6+b^6 = (a^2 + b^2)(a^4 + a^2b^2 + b^4)
b) a^6 - b^6 = (a^2+b^2)(a²-ab+b²)(a²+ab + b²)
c) a^6 - b^6 = (a³-b³)(a-ab+b)(a²+ab+b²)
d) a^6 - b^6 = (a²-b²)(a²-ab+b^2)(a^2+ab+b^2)​

Answers

c or d i think is the correct answer

Answer and explain please ILL MARK BRAINLIEST

Answers

Answer:

the first one is steeper because it took off before the other plane and it is still below the other plane, which means that the hills deeper and it's going to take it longer to take off and get in the air.

Step-by-step explanation: I hope this is what you were looking for let me know if not and I will delete my answer ;)

yesssssssssss nooooooo

What is the solution of x + 9 < 5?

Answers

Answer:

x < -4

Step-by-step explanation:

First step is to subtract 9 from each side to isolate the variable, x.

x + 9 - 9 < 5 - 9

Solve

x < -4

hope this helps :)

p.s. i really need brainliest

Three times each day, a quality engineer samples a component from a recently manufactured batch and tests it. Each part is classified as conforming (suitable for its intended use), downgraded (unsuitable for the intended purpose but usable for another purpose), or scrap (not usable). An experiment consists of recording the categories of the three parts tested in a particular day.
a. Let A be the event that all the parts fall into the same category. List the outcomes in A.
b. Let B be the event that there is one part in each category. List the outcomes in B.
c. Let C be the event that at least two parts are conforming. List the outcomes in C.
d. List the outcomes in A⋂C
e. List the 27 outcomes in the sample space.
f. List the outcomes in A U B.
g. List the outcomes in A⋂Cc
h. List the outcomes in Ac⋂C.
i. Are events A and C mutually exclusive? Explain.
j. Are events B and C mutually exclusive? Explain.

Answers

Answer:

a. Outcomes of A = { (C,C,C) , (D,D,D), (S,S,S) }

b. Outcomes of B = { (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }

c. Outcomes of C = { (C,C,C),(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }

d. Outcomes of A⋂C = { (C,C,C) }

e. Outcomes of Sample space = { (C,C,C), (C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S),   (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }

f. Outcomes of A U B = { (C,C,C) , (D,D,D), (S,S,S), (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }

g. Outcomes of A⋂[tex]C^{c}[/tex] = { (D,D,D), (S,S,S) }

h. Outcomes of [tex]A^{c}[/tex]⋂C = {(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C)}

i. Events A and C are not mutually exclusive

j. Events B and C are mutually exclusive

Step-by-step explanation:

Given - Three times each day, a quality engineer samples a component

             from a recently manufactured batch and tests it. Each part is

             classified as conforming (suitable for its intended use),  

             downgraded (unsuitable for the intended purpose but usable for  

             another purpose), or scrap (not usable). An experiment consists

             of recording the categories of the three parts tested in a particular

              day.

To find - a. Let A be the event that all the parts fall into the same

                  category. List the outcomes in A.

              b. Let B be the event that there is one part in each category.

                  List the outcomes in B.

              c. Let C be the event that at least two parts are conforming.

                  List the outcomes in C.

              d. List the outcomes in A⋂C

              e. List the 27 outcomes in the sample space.

               f. List the outcomes in A U B.

              g. List the outcomes in A⋂[tex]C^{c}[/tex]

              h. List the outcomes in ⋂C.

              i. Are events A and C mutually exclusive? Explain.

              j. Are events B and C mutually exclusive? Explain.

Proof -

Let

Conforming part = C

Downgraded part = D

Scrap part = S

a.)

Given , Let A be the event that all the parts fall into the same category.

Outcomes of A = { (C,C,C) , (D,D,D), (S,S,S) }

b.)

Given, Let B be the event that there is one part in each category.

Outcomes of B = { (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }

c.)

Given,  Let C be the event that at least two parts are conforming.

Outcomes of C = { (C,C,C),(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }

d.)

Outcomes of A⋂C = { (C,C,C) }

e.)

Outcomes of Sample space = { (C,C,C), (C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S),   (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }

f.)

Outcomes of A U B = { (C,C,C) , (D,D,D), (S,S,S), (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }

g.)

Outcomes of [tex]C^{c}[/tex]  =  {  (C,D,D), (C,D,S), (C,S,D), (C,S,S), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }

Outcomes of A⋂[tex]C^{c}[/tex] = { (D,D,D), (S,S,S) }

h.)

Outcomes of [tex]A^{c}[/tex] = {(C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C),  (D,D,S), (D,S,C), (D,S,D), (D,S,S),   (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), }

Outcomes of [tex]A^{c}[/tex]⋂C = {(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }

i.)

As we two that Two events A and C are mutually exclusive iff A ∩ C = ∅

Now,

A ∩ C = { (C,C,C) }

⇒Events A and C are not mutually exclusive.

j.)

As we two that Two events B and C are mutually exclusive iff B ∩ C = ∅

Now,

B ∩ C = ∅

⇒Events B and C are mutually exclusive.

The cargo of the truck weighs at most 2,900 pounds. Use w to represent the weight (in pounds) of the cargo.

The cruising speed of the bullet train will be no less than 160 miles per hour. Use s to represent the train's cruising speed (in miles per hour).​

Answers

Answer:

hi peps

Step-by-step explanation:

PLS SOMEONE HELP!! DUE TODAY

Answers

Answer:

XZ > XY > YZ

Step-by-step explanation:

1. Approach

To solve this problem, one must find the value of (x), then the measure of every angle in the triangle. Remember, the sum of all angles in a triangle is equal to 180 degrees. Another property of a triangle is that the largest side of a triangle will be opposite the largest angle of the triangle, conversely, the smallest side of a triangle will be opposite the smallest angle in the triangle.

2. Find the value of (x)

The sum of all angles in a triangle is equal to 180 degrees. Using this theorem, one can state,

m<X + m<Y + m<Z = 180

Substitute,

(50) + (5x + 10) + (5x) = 180

Simplify,

10x + 60 = 180

Inverse operations,

10x + 60 = 180

       -60     -60

10x = 120

/10    /10

x = 12

3. Find the measure of each angle

Now substitute the value of (x) into the expressions given to represent the value of each angle.

m<X = 50

m<Y = 5x + 10 = 5(12) + 10 = 60 + 10 = 70

m<Z = 5x = 5(12) = 60

4. Now apply this to find the comparative lengths of the sides

One property of a triangle is that the side opposite the largest angle in the triangle is the largest side. Moreover, the side opposite the smallest angle in a triangle is the smallest side. In this problem, it is impossible to find the exact lengths of the sides of the triangle, but one can find out which side is larger or smaller than the other side.

m<Y = 70

m<Z = 60

m< X = 50

m<Y > m<Z > m<X

Side XZ is opposite m<Y

Side XY is opposite m<Z

Side YZ is opposite m<X

This means,

XZ > XY > YZ

See photo. Hope it helps

tfewfgeeffeefefefwefwewwefewewfefwfew

Answers

Answer:

I understand your pain

Step-by-step explanation: sadge

Pls help due in 5 min

What is the total amount of the most common amount and the least common amount of milk drank daily?

Answers

Answer:

50/87

Step-by-step explanation:

What is the answer to -4(m+6) = -8

Answers

Answer:

m= -4

Step-by-step explanation:

Answer:

-32

Step-by-step explanation:

4(+6)=−8

4+24=−8

4+24=−8

4+24−24=−8−24

Subtract the numbers

4m = -32

Helppp please on this question

Answers

Answer:

Answer h = 34 i hope it is helpful have a nice day

Answer:

h = 34

Step-by-step explanation:

64 = h + 30

64-30 = h

34 = h

h = 34

6312 divided by 8 how do u break it down

Answers

Answer:

789

Step-by-step explanation:

Answer:

789

Step-by-step explanation:

8 goes into 63 7 times which is 56. 63 - 56 is 7. Bringing down the 1 makes it 71, 8 goes into 71 8 times, which is 64. 71 - 64 is 7. Lastly bringing down the 2 is 72. 8 goes into 72 9 times. So, you get the numbers 789.

In a standard 52-card deck, half of the cards are red, and half are black. The 52 cards are evenly divided into 4 suits: spades, hearts, diamonds, and clubs. Each suit has three face cards (jack, queen, king), and an ace. Each suit also has 9 cards numbered 2 to 10.

Dawn removes two cards, without replacement.

What is the probability that Dawn removed two black cards?





What is the probability that Dawn removed a diamond and a spade?





What is the probability that Dawn removed two face cards?

Answers

Answer:

Byhrnegngrnhumhrnim jmmumtjmmtjmtj

What does it mean to say that a data point has a residual of 0?
A. The point lies above the regression line.
B. The point lies directly on the regression line.
C. The predicted value for that point is 0.
D. The point falls at the origin.

Answers

Hi!!!

B. the point lies directly on the regression line.

Hope this helped!

Have a good day:)

The point lies directly on the regression line.

Option B is the correct answer.

What is a regression line?

A regression line is a straight line that represents the relationship between two variables in a scatter plot.

In other words, it is a line that best fits the data points in a scatter plot by minimizing the difference between the actual data points and the predicted values on the line.

We have,

When we talk about the residual of a data point in the context of regression analysis, we are referring to the difference between the actual value of the response variable (dependent variable) for that data point and the predicted value of the response variable based on the regression equation.

If a data point has a residual of 0, it means that the predicted value for that data point is exactly equal to the actual value of the response variable.

This can occur when the data point falls directly on the regression line, as in option B.

Thus,

The point lies directly on the regression line.

Learn more about regression lines here:

https://brainly.com/question/7656407

#SPJ7

Please help i don’t know if I’m doing this right

Answers

Answer:

x = 41

Step-by-step explanation:

a^2 + b^2 = c^2

9^2 + 40^2 = c^2

81 + 1600 = c^2

c^2 = 1681

c = 41

Step-by-step explanation:

In order to find the hypotenuse of a right triangle, you must remember the theorem:

a² + b² = c².

40 to the second power is 1600, and 9 to the second power is 81.

Add these together for a total of 1681, but you're not done yet. We need to find what multiplied by itself equals 1681, since c is to the second power.

The square root is 41, so x is 41.

Helppp me on this question please

Answers

Answer:

2.704

Step-by-step explanation:

when dividing by 10 with exponents, you place a decimal point starting from the ones, going left the amount of the exponent. hope that made sense!

Answer:

2.704

Step-by-step explanation:

equation:

2704 ÷ [tex]10^{3}[/tex]

steps:

⇒ 2704 ÷ (10 x 10 x 10)

⇒ 2704 ÷ 1000

⇒ 2.704

Use a double number line to answer Problem 1-5.


Tanner collected 360 cans and bottle while fundraising for his baseball team. This eas 40% of what Reggie collected. How many cans and bottles dif Reggie collect?​

Answers

Answer:

900 cans and bottles.

Hope that helps!

Step-by-step explanation:

360 / 4 = 90

90 x 100 = 900

Hope that helps!

it takes 4.5 ounces to my a copper pipe fitting. American pipe estimates they produce an average of 25.4 fittings per week. How much copper will it take to make fittings for the whole year?

Answers

Answer: 5,943.6 ounces of copper

4.5 x 25.4 = 114.3 ounces used per week
52 weeks/year
114.3 x 52 = 5,943.6 ounces of copper

PLEASE HELP THIS ASSIGNMENT IS OVER DUE

Answers

Answer:

7w

Step-by-step explanation:

1w + 1w +5w = 7w, add all of the w's up

What is the length of the hypotenuse of the triangle when x = 9?
7x +41
5x
The length of the hypotenuse is about
(Round to the nearest tenth as needed.)

I NEED THIS ASAP

Answers

Answer:

[tex]H = 53.30[/tex]

Step-by-step explanation:

Given

[tex]Side\ 1 = 7x + 41[/tex]

[tex]Side\ 2 = 5x[/tex]

Required

Determine side x

The hypotenuse (H) is calculated using:

[tex]H^2 = Side\ 1^2 + Side\ 2^2[/tex]

[tex]H^2 = (7x + 41)^2 + (5x)^2[/tex]

Substitute 9 for x:

[tex]H^2 = (7*9 + 41)^2 + (5*9)^2[/tex]

[tex]H^2 = 10816 + 2025[/tex]

[tex]H^2 = 12841[/tex]

So:

[tex]H = \sqrt {2841[/tex]

[tex]H = 53.30[/tex]

What is a reasonable metric unit for the capacity of a large lake

Answers

Answer:

Liters and milliliters are metric units for measuring capacity

Step-by-step explanation:

Answer:

liters

Step-by-step explanation:

Lily took out a 5-year loan from the bank for 31000.00 to purchase a new car. At the end of the loan, she paid a total of 37975. Find the interest rate on the loan.

Answers

Answer:

24.5%

Step-by-step explanation:

Simple Interest = (principal×rate×time)÷100. *Brackets First*

Transpose the formula to make rate the subject: rate= (100×simple interest) ÷ (principal×time).

Plug in values: rate = (100×37975) ÷ (31000×5).

The result is 24.5%.

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