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

what is the square root of -20

Answers

Answer:

4.47213595

Simplify in the tenths place and get 4.47

Step-by-step explanation:

Can y’all help me on question nine?!

Answers

Answer:

24

Step-by-step explanation:

x=2

x³+7x+2

2³+14+2

8+14+2

24

Find the perimeter of the polygon.
a. 25 cm
b. 20 cm
C. 30 cm
d. 28 cm

Answers

The answer is (a. 25cm)

25 hope that helps you out

why is angle 3 congruent to angle
explain why​

Answers

Answer:

Angle 3 is = to angle 2 because:

Angle 3 & angle 7 are corresponding angles, meaning they have the same measure.

Angle 7 & angle 2 are vertical angles, meaning they also have the same measure.

Therefore, if angle 7 is equal to angle 3, then angle 2 must also be equal to angle 3.

Hope this helps! Have a great day!

Solve for h

h – 5 = -30

Make sure to show your work for full points!

Answers

h-5 = -30
Add 5 to both sides to get variable h by itself
h = -25

Answer:

h = -25

Step-by-step explanation:

h - 5 = - 30

   +5     +5

h = -25

Through: (1,-4) and (-3,1)

Answers

Answer:

of a slope?

Step-by-step explanation:

A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest. Historical data indicates that 20% of all potential purchasers select a day visit, 50% choose a one-night visit, and 30% opt for a two-night visit. In addition, 10% of day visitors ultimately make a purchase, 30% of onenight visitors buy a unit, and 20% of those visiting for two nights decide to buy. Suppose a visitor is randomly selected and is found to have made a purchase. How likely is it that this person made a day visit? A one-night visit? A two-night visit?

Answers

Answer:

0.087 = 8.7% probability that this person made a day visit.

0.652 = 65.2% probability that this person made a one-night visit.

0.261 = 26.1% probability that this person made a two-night visit.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Made a purchase.

Probability of making a purchase:

10% of 20%(day visit)

30% of 50%(one night)

20% of 30%(two night).

So

[tex]p = 0.1*0.2 + 0.3*0.5 + 0.2*0.3 = 0.23[/tex]

How likely is it that this person made a day visit?

Here event B is a day visit.

10% of 20% is the percentage of purchases and day visit. So

[tex]P(A \cap B) = 0.1*0.2 = 0.02[/tex]

So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.23} = 0.087[/tex]

0.087 = 8.7% probability that this person made a day visit.

A one-night visit?

Event B is a one night visit.

The percentage of both(one night visit and purchase) is 30% of 50%. So

[tex]P(A \cap B) = 0.3*0.5 = 0.15[/tex]

So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.23} = 0.652[/tex]

0.652 = 65.2% probability that this person made a one-night visit.

A two-night visit?

Event B is a two night visit.

The percentage of both(two night visit and purchase) is 20% of 30%. So

[tex]P(A \cap B) = 0.2*0.3 = 0.06[/tex]

Then

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.23} = 0.261[/tex]

0.261 = 26.1% probability that this person made a two-night visit.

please help me with this math wuestion

Answers

Answer:

A) 3 1/4

Step-by-step explanation:

x+1/2 = 3 3/4

x = 3 3/4 - 2/4 = 3 1/4

What is the measure of angle x?

Answers

Answer:

43

Step-by-step explanation:

90-47=43

1
2
3
Or
4?

Look at the picture.
Thank u!

Answers

Answer:

Option 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

0.08= 8/10. so it would be simple multiplication using fractions. 2/3x8/10 giving us 16/30= 8/15. sorry got wrong answer at first.

To compare the dry braking distances from 30 to 0 miles per hour for two makes of​ automobiles, a safety engineer conducts braking tests for 35models of Make A and 35 models of Make B. The mean braking distance for Make A is 41feet. Assume the population standard deviation is 4.6 feet.The mean braking distance for Make B is 45feet. Assume the population standard deviation is 4.3 feet.At alphaequals0.10​,can the engineer support the claim that the mean braking distances are different for the two makes of​ automobiles

Answers

Answer:

There is sufficient evidence to support the claim.

Step-by-step explanation:

Given

[tex]\alpha = 0.10[/tex]

Make A

[tex]\bar x_1 = 41[/tex]

[tex]\sigma_1= 4.6[/tex]

[tex]n = 35[/tex]

Make B

[tex]\bar x_2 = 45[/tex]

[tex]\sigma_2 = 4.3[/tex]

[tex]n = 35[/tex]

First, we state the null and alternate hypothesis

[tex]H_0 : \mu_1 = \mu_2[/tex]

[tex]H_1 : \mu_1 \ne \mu_2[/tex]

Next, calculate test statistic:

[tex]z = \frac{(\bar x_1 - \bar x_2)-(\mu_1 - \mu_2)}{\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}}[/tex]

[tex]z = \frac{(41- 45)-0}{\sqrt{\frac{4.6^2}{35}+\frac{4.3^2}{35}}}[/tex]

[tex]z = \frac{-4}{\sqrt{0.6046+0.5283}}[/tex]

[tex]z = \frac{-4}{\sqrt{1.1329}}[/tex]

[tex]z = \frac{-4}{1.0643}[/tex]

[tex]z = -3.7583[/tex]

The critical value at [tex]\alpha = 0.10[/tex] is: [tex]\±1.282[/tex]

[tex]-3.7583 < -1.282[/tex]

So, we reject [tex]H_0[/tex]

This implies that; there is sufficient evidence to support the claim.

Need Help ASAP WILL MARK YOU BRAINLYEST

Answers

he divided by 2 instead of taking the square root so the actual answer should be 26 and for the second the 20 is across from the  90 so its suppose to be c

the answer should be 16

What is the area of a circle with a circumference
of 25.12 meters?

Answers

Area of a circle=πr^2

circumference of a circle= 2πr

circumference of a circle=25.12

2πr=25.12

r=25.12÷2π=4

radius=4

Are of circle= πr^2=π4^2=50.28cm^2

Which trigonometric ratios are correct for triangle
ABC? Select three options.

Answers

Answer:

Options (1), (3) and (4)

Step-by-step explanation:

From ΔABC given in the picture,

By Pythagoras theorem

Hypotenuse² = (Leg 1)² + (Leg 2)²

BC² = AB² + AC²

(18)² = 9² + AC²

AC = [tex]\sqrt{324-81}[/tex]

AC = [tex]9\sqrt{3}[/tex] cm  

sin(C) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

         = [tex]\frac{AB}{BC}[/tex]

         = [tex]\frac{9\sqrt{3}}{18}[/tex]

sin(C) = [tex]\frac{\sqrt{3} }{2}[/tex]

sin(B) = [tex]\frac{AC}{BC}[/tex]

         = [tex]\frac{9}{18}[/tex]

         = [tex]\frac{1}{2}[/tex]

cos(B) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

          = [tex]\frac{9\sqrt{3}}{18}[/tex]

          = [tex]\frac{\sqrt{3} }{2}[/tex]

tan(B) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

          = [tex]\frac{AC}{AB}[/tex]

          = [tex]\frac{9}{9\sqrt{3} }[/tex]

          = [tex]\frac{1}{\sqrt{3} }[/tex]

tan(C) = [tex]\frac{AB}{AC}[/tex]

          = [tex]\frac{9\sqrt{3}}{9}[/tex]

          = [tex]\sqrt{3}[/tex]

Therefore, Options (1), (3) and (4) are the correct options.

Answer:

Options (1), (3) and (4)

Step-by-step explanation:

From ΔABC given in the picture,

By Pythagoras theorem

Hypotenuse² = (Leg 1)² + (Leg 2)²

BC² = AB² + AC²

(18)² = 9² + AC²

AC =

AC =  cm  

sin(C) =

        =

        =

sin(C) =

sin(B) =

        =

        =

cos(B) =

         =

         =

tan(B) =

         =

         =

         =

tan(C) =

         =

         =

Therefore, Options (1), (3) and (4) are the correct options.Step-by-step explanation:

which is the least -1 1/4 or -3/2

Answers

Answer:

-3/2

Step-by-step explanation:

Sina Au,Jho at Tess ay anak ng mag asawang sing ng
Roy at Aling Lita, Si Ay ay 7 taon na mas matanda kay the
at 2 taon mas bata kay Tess, Kung ang kabuyang edad ay
70. llan taon si Au?​

Answers

Answer: Sina Au,Jho at Tess ay anak ng mag asawang sing ng

Roy at Aling Lita, Si Ay ay 7 taon na mas matanda kay the

at 2 taon mas bata kay Tess, Kung ang kabuyang edad ay

70. llan taon si Au?​

Step-by-step explanation:

Someone help please

Answers

Answer:

x = 30

Step-by-step explanation:

I need help with this question​

Answers

Answer:

No idea for this question

Can someone plz help me with my whole homework?


1.The original price is $20. The Percent of Discount is 20%. What is the sale price?

2.The original price is $95. The Percent of Discount is 35%. What is the sale price?

3.The Percent of Discount is 75%. The sale price is $55.50. What is the original price?

4.The Percent of Discount is 40%. The sale price is $78. What is the original price?

5.Find the selling price. The cost to store: $20. The markup: 15%.

6.Find the selling price. The cost to store: $56. The markup: 80%.

7.Find the selling price. The cost to store: $110. The markup: 140%.

8.A store buys an item for $10. To earn a profit of $25, what percent does the store need to markup the item?

9.An account earns simple interest. Find the interest earned.
$400 at 7% for 3 years

10.An account earns simple interest. Find the balance of the account.
$400 at 7% for 3 years

11.An account earns simple interest. Find the interest earned.
$1200 at 5.6% for 4 years

12.An account earns simple interest. Find the balance of the account.
$1200 at 5.6% for 4 years

13.Find the annual interest rate.
I = $18, P = $200, t = 18 months

14.Find the annual interest rate.
I = $310, P = $1000, t = 5 years

15.Find the amount of time.
I = $60, P = $750, r = 4%

16.Find the amount of time.
I = $825, P = $72500, r = 5.5%

17.You put $500 in a savings account. The account earns $15.75 simple interest in 6 months. What is the annual interest rate?

Answers

Answer:

Step-by-step explanation:

Answer:

people may not be doing it because u have it up for 5 points and it is alot  of work.

Step-by-step explanation:

What is the area of this figure?

Question 10 options:

124 in2

112 in2

184 in2

Answers

Answer:

112 in2

Step-by-step explanation:

6 x 4 / 2 + 10 x 10 = 24 / 2 + 100

12 + 100 = 112 in2

Hope that helps!

Consider the cylinder with a volume of 132 cm3.
What is the volume of a cone with the same radius and
height as the cylinder?
O 337 cm
O 447 cm
O 66 cm
O 132 cm
3
V = 132 cm

HELPPP

Answers

Answer:

447 cm or 337 cm can be both

The volume of the cone whose height and radius are equal to that of given cylinder`s height and radius is equal to 44cm³.

The volume of given cylinder is = 132cm³

The volume of a cylinder of radius r and height h is given by

V=πr²h

Therefore, πr²h=132

Now volume of cone of same radius and height is = (1/3)πr²h

                                                                                   =(1/3)×132

                                                                                   =44cm³

Hence, the volume of the cone with same radius and height as of given cylinder is 44cm³.

To learn more about cylinder click here:

https://brainly.com/question/21999117

#SPJ7

Mr. Smith’s factory produces 58 brake pads per hour with the current machines. He has decided to invest in new machines that produce 86 brake pads per hour. By what approximate percent will the new machines increase the production of brake pads at the factory?

Answers

Answer:

48%

Step-by-step explanation:

-4x=16 what is x in the equation

Answers

Answer: x=-4

Step-by-step explanation:

-4x=16

Divide by -4 on each side to cancel it out

x=-4

Please I need help it’s an emergency

Answers

Answer:

i think its b

Step-by-step explanation:

i might be wrong but i think its

[tex]4 \sqrt{3 } [/tex]

C i think
if it’s not correct don’t blame me i’m not sure if I did the math correctly

Can somebody help me?

Answers

Answer:smsjsjsjsjsjss

Step-by-step explanation:idididididisjsnsbuxxjhx

Ssjsjsjsjjssjsjmsjsjsjs

nfnvnxnfnfwmdkakjsxk

Find X using these two
24x-19
16x+13

Answers

Step-by-step explanation:

24x-19=0

24x=19

x=19/24

16x+13=0

16x=-13

x=-13/16

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

Answers

Answer:

Yes

Step-by-step explanation:

Substitute  2+1=3

                 3=3

Equal means solution

Answer:

Yes (2,3) is a solution to this system of equations

Step-by-step explanation:

(x,y) (2,3) so x=2 y=3

3=3

3=2+1

Equations are true so it's a solution

Lee el siguiente planteamiento y resuelve los problemas:

Un globo electrostáticamente cargado ejerce una fuerza de atracción sobre un papel de tal forma que se pueden identificar dos cargas positivas en la periferia del globo y una negativa en la periferia del papel. Las cargas del globo y del papel están colocadas en los vértices de un triángulo equilátero cuyos lados tienen una longitud de 5 cm, tal como se muestra en la figura. Se sabe que la carga q1 tiene polaridad negativa con un valor de 20 μC (microcoulomb), la carga q2 tiene polaridad positiva con una magnitud de 10 μC y la carga q3 también tiene polaridad positiva con una intensidad de 30 μC.


Calcula la fuerza de q3 sobre q1. Para ello, hay que sustituir los valores de las respectivas cargas en la ecuación de la ley de Coulomb y el valor de la distancia d , la cual corresponde a la separación entre q1 y q3.

Realiza el cálculo de la fuerza de q2 sobre q1.

a. Utiliza el plano cartesiano para graficar los resultados de las fuerzas solicitadas.

Determina la magnitud de la fuerza de atracción resultante que ejercen las cargas q2 y q3 sobre q1 y el ángulo del vector de la resultante.

a. Utiliza el plano cartesiano para graficar el resultado, de la magnitud de la fuerza de atracción.

Answers

Answer:

I am read well any things please I don't know how to run this app please helpe I don't need this app by saying this much i want to stop my points

thanks

why is angle 3 congruent to angle 7?​

Answers

Answer:

they are congruent because they are corresponding angles

Step-by-step explanation:

Evaluate the expression for the given value of the variable.

4 * (x + 5); when x = 3 the star means multiply

Answers

Answer:

4 * (3 + 5)

4 * 8

32

Step-by-step explanation:

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