Suppose g(m) varies inversely with M and g (m) = 3.5 when m = 10.
What is the value of m when g (m) = 5 ?

Answer:

4 feet of wall should be on each side of the painting.

Step-by-step explanation:

Given that a 4 foot wide painting should be centered on a 12 foot wide wall, to determine how many feet (X) should be on each side of the painting, the following equation must be solved:

(Total wide of the wall - wide of the painting) / 2 = X

(12 - 4) / 2 = X

8/2 = X

4 = X

Therefore, 4 feet of wall should be on each side of the painting.

Answer:

Sine (30°) = cosine(90-30) = cos(60°) = 1/2

Step-by-step explanation:

The value of the [tex]cos 60^0[/tex] is [tex]\dfrac{1}{2}[/tex].

[tex]cos^2\theta= 1-sin^2\theta\\cos 2\theta = cos^2\theta - sin^2\theta[/tex]

Given the value of [tex]sin30^0[/tex] is [tex]\dfrac{1}{2}[/tex].

Use the relation between the sine and cosine as-

[tex]\cos^230^0=1-\sin^230^0\\=1-\dfrac{1}{4}\\=\dfrac{3}{4}\\[/tex]

Use another relation [tex]\cos 2\theta = \cos^2\theta -\sin^2\theta[/tex] as-

[tex]\cos(2\times 30^0)=\cos^2{30^0}-\sin^2{30^0}\\=\dfrac{3}{4}-\dfrac{1}{4}\\=\dfrac{1}{2}[/tex]

Hence, [tex]\cos 60^0[/tex]  is value is [tex]\dfrac{1}{2}[/tex].

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Answer:

The surface area of the prism is equal to 72 sq inches.

Step-by-step explanation:

Given that,

A rectangular prism with a length of 7 inches, a width of 3 inches, and a height of 1 1/2  inches.

The surface area of a rectangular prism is given by :

[tex]A=2(lb+bh+hl)[/tex]

Put all the values,

[tex]A=2(7\times 3+3\times \dfrac{3}{2}+\dfrac{3}{2}\times 7)\\\\A=2\times 36\\\\A=72\ in^2[/tex]

So, the surface area of the prism is equal to 72 sq inches.

Step-by-step explanation:

165kg=330$

150*4=600$

600-330=270

espero te ayude :D

9514 1404 393

Answer:

Step-by-step explanation:

1. The finance charge is found from the simple interest formula;

  I = Prt

where P is the principal amount, r is the annual rate, and t is the number of years.

24 months is 2 years, so the interest charged is ...

  I = $1900×0.08×2 = $304

The finance charge is $304.

__

2. The monthly payment will be the total amount due, divided by the number of months.

  payment = ($1900 +304)/24 = $2204/24 ≈ $91.83

The monthly payment is $91.83.

Answer:

Volume for cube: L x W x H

L= Length, W= width, H=height

Answer:

d. ​

Step-by-step explanation:

No, because a more appropriate technique can be used to control the behaviour​

Answer:

MBE, REU, XBy, XEW, BER is an acute angle

WRU, RUm, XBM is an obtuse angle

RU, XE, Mm, ME, MU, WE, XB, MB, My is a straight angle

BM, BE, BX, By is an angle of vertex B.

I don’t know (for e)

BER: REB

I don’t know (for g)

EBy and XBM are two supplementary angles.

Step-by-step explanation:

Answer:2 b

Step-by-step explanation:3 h

Answer:

thats your answer

Step-by-step explanation:

Answer:

[tex]\text{A. 0.032}[/tex]

Step-by-step explanation:

Let [tex]\sigma_p[/tex] be the standard error of the distribution of sample proportions.

Formula:

[tex]\sigma_p=\sqrt{\frac{P(1-P)}{n}}[/tex], where [tex]P[/tex] is the population parameter and [tex]n[/tex] is sample size.

What we're given:

Substituting given values, we get:

[tex]\sigma_p=\sqrt{\frac{0.1(1-0.1}{90}},\\\sigma_p=\sqrt{\frac{0.1\cdot 0.9}{90}},\\\sigma_p=\sqrt{0.001}\approx\boxed{\text{A. 0.032}}[/tex]

Answer:

x= -4

y= -8

This will be the solution

9514 1404 393

Answer:

  (b)  Angle V is the smallest angle

Step-by-step explanation:

The smallest angle is opposite the shortest side. Its vertex name will be the that of the vertex not involved in naming the shortest side.

The shortest side name is TU. The smallest angle is not T or U; it is V.

  Angle V is the smallest angle

Answer:

(b)  Angle V is the smallest angle

Step-by-step explanation:

Answer:

C. (f+g)(x) = 5x^3 - x^2 + 5x + 2

Step-by-step explanation:

Combine like terms:

5x^3 + 0 = 5x^3

-4x^2 + 3x^2 = -x^2

5x + 0 = 5x

4 - 2 = 2

5x^3 - x^2 + 5x + 2

Answer:

False

Hope this helps!

Answer:

62704

Step-by-step explanation:

Given 6.2704 x 10^4

To convert to standard form:

6.2704 * 10^4

10^4 = 10*10*10*10 = 10000

6.2704 * 10000 = 62704

Hence, 6.2704 x 10^4 = 62704 in standard form

Answer:

Function 2

Step-by-step explanation:

Function 2 or line q would have a greater slope

Please mark as brainliest answer

Answer:

the answer is A

x=3/2y+3

Step-by-step explanation:

2x=6+3y

x=3+3/2y

x=3/2y+3 is the solution of the equation  2x-3y=6.

The given equation is 2x-3y=6

We need to solve for variable x in the equation.

Isolate the term with variable x.

Add 3y on both sides of the equation.

2x=6+3y

Now divide both sides by 2

x=3+3/2y

x is the solution of the equation.

x=3/2y+3

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Answer:

the answer to this would be 114 i think sorry is im wrong

Step-by-step explanation:

Answer:

c there you go hi your welcome

Answer:

A = 26.6°

Step-by-step explanation:

To obtain the measure of angle A :

We use the trigonometric relation :

Tan A = opposite / Adjacent

Tan A = 6 / 12

Tan A = 1/2

A = tan^-1(1/2)

A = 26.565°

A = 26.6°

Answer:

A. 320 ft²

B. 2,304 ft²

Step-by-step explanation:

A. Area of one triangular face = area of triangle = ½*b*h

Where,

b = 32 ft

h = 20 ft

A = ½*32*20 = 16*20

A = 320 ft²

Area of 1 triangular face = 320 ft²

B. Total surface area = area of the 4 triangular face + area of the base of the square pyramid

T.S.A = 4(320) + (s²)

Where,

s = 32 ft

T.S.A = 4(320) + (32²)

T.S.A = 1,280 + 1,024

= 2,304 ft²

Answer:

The dimensions are four by two by two meters.

Step-by-step explanation:

The volume for a rectangular prism is given by:

[tex]V=\ell wh[/tex]

Where l is the length (or depth), w is the width, and h is the height.

Since the height and width are both two meters less than the depth, we can write that:

[tex]h=\ell -2\text{ and } w = \ell -2[/tex]

We are also given that the total volume is 16 cubic meters. Substitute:

[tex]16=\ell(\ell -2)(\ell -2)[/tex]

Expand:

[tex]16=\ell(\ell^2 -4\ell +4)[/tex]

Distribute:

[tex]16=\ell ^3-4\ell ^2+4\ell[/tex]

Isolate the equation. So:

[tex]\ell ^3-4\ell ^2+4\ell -16=0[/tex]

We can factor by grouping. From the first two terms, factor out a l² and from the last two terms, factor out a 4:

[tex]\ell ^2(\ell -4)+4(\ell -4)=0[/tex]

Factor:

[tex](\ell ^2+4)(\ell -4)=0[/tex]

Zero Product Property:

[tex]\ell ^2+4=0\text{ or } \ell - 4=0[/tex]

Solve for each case:

[tex]\ell^2=-4\text{ or } \ell =4[/tex]

Since we cannot take the square root of a negative number, we can ignore the first case.

Therefore, the length (or depth) of the storage space is four meters.

Thus, the dimensions are four by two by two meters.

Answer

2

Step-by-step explanation:

x^2-5x+2,

the greatest exponent seen in the polynomial is two (x squared), so the degree of this polynomial is 2 because of the number two x^2 -5x+2

Answer:

30ml of yellow

18ml of red

Step-by-step explanation:

5x6=30

3×6=18

Answer:

Step-by-step explanation:

a color

Answer:

x > 3

-x < -3

3 < x

-3 > -x

Step-by-step explanation:

-8x < -24

x > 3

-x<-3