Write an equivalent expression for -5(3-2x)

Answer: 60 + 13 sqrt 10

the top part adds up to 10 and the bottom part is 13

so you get a 7-3-2 sqrt 10 triangle to the left

the area of that is 3 sqrt 10

the area of the leftmost rectangle is 5 * 2sqrt 10 which is 10 sqrt 10

the area of the big vertical rectangle is 5*12 which is 60

so you add them up

60 + 13 sqrt 10

Answer:

a-16 and a half c-12

Step-by-step explanation:

9514 1404 393

Answer:

  -1 is in the domain of fºg

Step-by-step explanation:

Both functions are odd-degree polynomials (as written here), so both functions have a domain and range of "all real numbers."

  -1 is in the domain of f(g(x))

Answer:

6.25 meters

Step-by-step explanation:

25/4 = 6.25

Length of each cut piece is 6.25 m.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Given

A length of 25 meters cut the string in 4 pieces of equal length.

= [tex]\frac{25}{4}[/tex]

= 6.25

Length of each cut piece is 6.25 m.

Find more information about division here

https://brainly.com/question/5805897

#SPJ2

Answer:

202

Step-by-step explanation:

First, we can find the conjugate of (-9 -11i)

Given a complex number a + bi, the conjugate would be a - bi.

So, the conjugate of -9 -11i is -9 + 11i.

Now, we multiply!

(-9-11i)(-9+11i)

This resembles the special product (a+b)(a-b) which multiplies out to a^2 - b^2

To apply this we subtract the square of the second number from the first.

(-9)^2 - (11i)^2

81 - 121i^2

i^2 is -1, so we can substitute it in:

81 + 121 = 202

Answer:

[tex]Worth = \$284258.1[/tex]

Step-by-step explanation:

Given

[tex]Dimension: 7in\ * 3in\ * 1in[/tex]

[tex]Value = \$1214/oz[/tex] ---- value of Gold

Required

The worth of 1 gold bar

First, calculate the volume (n) of the gold bar

[tex]n = 7in * 3in * 1in[/tex]

[tex]n = 21in^3[/tex]

Next, calculate the weight of the gold bar using:

[tex]w = 11.15n[/tex]

[tex]w = 11.15 * 21[/tex]

[tex]w = 234.15oz[/tex]

Multiply the value of Gold by the weight of the gold bar to get the worth of the gold bar.

[tex]Worth =Value * w[/tex]

This gives:

[tex]Worth = \$1214/oz * 234.15oz[/tex]

[tex]Worth = \$1214 * 234.15[/tex]

[tex]Worth = \$284258.1[/tex]

Answer:

We accept H₀  we don´t have enough evidence to support that more than 3 % of the packages are undeweight

Step-by-step explanation:

Sample size    n  = 1000

x ( defective packages found)  =  40

p  =  40 /1000     p  =  0,04    p  =  4 %     then  q = 0,96

np = 0,04 * 1000      and    nq  / 0.96 * 1000 both greater than 5

Then we can use the approximation of binomial distribution to normal distribution.

α is significance level       α =  0,05

From z- table we find  z(c)  for  α =  0,05      z(c)  =  1,64

Test Hypothesis

Null Hypothesis                          H₀             p  =  0,03

Alternative Hypothesis              Hₐ             p  >  0,03

We can see from alternative Hypothesis that the test is a one tail test to the right of the bell shape curve of the normal distribution

To calculate  z(c)  =   ( 0,04 -  0,03 ) / √ ( p*q)/n

z(c) = 0,01 * 31,62 / √ 0,04*0,96

z(c) = 0,3162 / 0,1959

z(c) = 1,6140      z(c) ≈ 1,61

Comparing  z(s)   and  z(c)

z(c) >  z(s)     1.64  > 1.61

Then z(s) is in the acceptance region for H₀    we accept H₀

Answer:

D) [tex]\frac{1}{64}[/tex]

Step-by-step explanation:

The -6 will never make it negative, just divide instead if multiply

(4x4x4) x (4÷4÷4÷4÷4÷4)

Answer:

B

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Plug in 6 to x, since this is the x-value in the ordered pair.

[tex]3(6)+2y=36\\18+2y=36\\2y=18\\y=9[/tex]

Answer:

(6, 9)

Step-by-step explanation:

3x + 2y = 36

Substitute 6 into the equation to get the output.

3(6) + 2y = 36

Multiply 3 and 6.

18 + 2y = 36

Subtract 18 from both sides.

2y = 18

Divide both sides by 2.

y = 9

The ordered pair when x = 6 is

(6, 9)

Answer:

[tex](-5,-4)[/tex]

Step-by-step explanation:

Given

[tex]P = (5,4)[/tex]

Rotation: 180 degrees counterclockwise

Required

P'

Rotation: 180 degrees counterclockwise

The rule is:

[tex](x,y) \to (-x,-y)[/tex]

So: [tex]P = (5,4)[/tex] becomes

[tex](5,4) \to (-5,-4)[/tex]

Answer:

(D) The passenger's height aloe the ground is increasing by 15.708 meters per minute 7.5 minutes after the ride begins.

Step-by-step explanation:

Here, H(t) is the height after the t minutes of time.

Given :

H'(7.5) = 15.708 meters / minute

H'(t) = [tex]$\frac{d(H(t))}{dt}$[/tex]

     = rate of change of the height

So, here, H'(t) = rate of change of height

Therefore, H'(7.5) = 15.708 meters / minute

It shows that the passenger's height is increasing at rate 15.708 meters per minute at time t = 7.5 minutes after the ride begins.

Answer: 14

Step-by-step explanation:

1/16x = 7/8

x = 7/8*16/1 = 14

He can sell his candy

Give away to people.

Answer:

The answer is 181

Step-by-step explanation:

PEDMAS

1 x 1 + 9 x 20

1 x 1 = 1

1 + 9 x 20

9 x 20= 180

1+180

which equals 181

Answer:

181

Step-by-step explanation:1x1=1 9x20=180+1=181

Thats your answer my fellow brains

Answer:

x = 14 for the first one, x = 60 for the second one

Step-by-step explanation:

Step-by-step explanation:

We know the measure of a straight line is 180° . So that ,

> 5x - 10 + 120 = 180

> 5x = 60 + 10

> 5x = 70

> x = 70/5

> x = 14

Solution 2 :-

> x + 50 + 70 = 180

> x = 180 - 120

> x = 60

Answer:

Step-by-step explanation:

Area = height × side

21   = 3 * side

side = 7 cm

The side of a rhombus is half the longer diagonal

longer diagonal = 2*side =2*7=14cm

9514 1404 393

Answer:

Step-by-step explanation:

The law of sines tells you the ratio of sides is the same as the ratio of sines of their opposite angles.

This post has 2 kinds of problems.

1) 2 angles and the side between them are given.

2) 2 sides and the angle opposite the longest is given.

For the first type, you need to determine the missing angle (opposite the given side). That comes from the sum of angles of a triangle being 180°. Then you find the remaining sides using the ratio of sines.

For the second type, the angle opposite the shorter side is found using the ratio of sides to find the sine of that angle. Then the third side and third angle can be found using the ratio of sides to find the sine of the angle, and using the ratio of sines to find the missing side.

Straightforward, and tedious. For more than one, I like to use a spreadsheet to crunch the numbers.

_____

1) BC = 24.0

2) AC = 26.0

3) m∠B = 73.4°

4) m∠B = 30.0°

__

In the spreadsheet, the given values are in the first 3 columns. The 4th column is the first one calculated. As indicated above, the angle calculation for problems 1 and 2 uses the sum of angles relation. For problems 1 and 2, this is the angle opposite the given side. The "first side" is the side opposite the "first angle". c = b·sin(C)/sin(B), for example.

For problems 3 and 4, the first unknown angle is the one opposite the "short side", which is the shorter of the given sides. As it happens, this is the side that is asked for in the question. B = arcsin(c·sin(B)/sin(C))

_____

Additional comment

In a spreadsheet, angles are presumed to be in radians for all of the trig functions. We use the DEGREES( ) and RADIANS( ) functions to convert as appropriate.

Answer:

a. R 2+ S 2= T 2

Step-by-step explanation:

Is this multiple choice? If not, then I will explain my answer.

I would say that it is R² + S² = T² because, the original pythagorean theorem equation is a² + b² = c².

They are put in an alphabetical order, a, b, c.

R goes first in the alphabet, then S and T. So, that's why I say it is:

R² + S² = T²

I hope this helps! Please tell me if I'm incorrect! Have a great day may God bless you!

(Also, if you have a keyboard like mine, then you can make an exponent 2, by doing alt + 0178 )

² <-or just cut and paste this

Answer:

D

Step-by-step explanation:

When you are raising something to a fractional power, you are raising it to the power of the numerator and finding the root denoted by the denominator. The explanation above is kinda confusing, so here is an example:

x^(3/5)

This would be written as:

[tex]\sqrt[5]{x^3}[/tex]

Now for the actual problem. Since the numerator is 4, we start by raising x to the 4th power, x^4.

Because the denominator is 5, we find the 5th root:

[tex]\sqrt[5]{x^4}[/tex]

This matches none of the answers shown, so the answer is none of the above or D.

Answer:

D

Step-by-step explanation:

The answer would be 5 square root x^4

See Image Below:)

Answer:

10

Step-by-step explanation:

Answer:

b = 7.56

C = 9.24

Step-by-step explanation:

Find the last angle of the triangle.

The sum of all the angles in a triangle is  

180 degrees.

A+

90+55=180

A=35

Then find c

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(B)=adj/hyp or Cos(55) = 5.3 / c

re write as

C = 5.3 / cos55

This gives you c = 9.24

Then use the Pythagorean theorem to find the unknown side.

[tex]a^{2} +b^{2} = c^{2} \\rewrite as\\ b^{2} = c^{2} - a^{2} \\b^{2} = 9.2^{2} - 5.3^{2} \\b^{2} = 57.29\\b = 7.56[/tex]

Answer:

x = 5/2

Step-by-step explanation:

6x+15=4x+20

Collect like terms

6x - 4x = 20 - 15

2x = 5

x = 5 / 2

Answer:

The correct answer would be the 3rd graph!

Hope this helps!

Answer:

In classical physics and general chemistry, matter is any substance that has mass and takes up space by having volume.

Step-by-step explanation:

In classical physics and general chemistry, matter is any substance that has mass and takes up space by having volume.

Answer:

0.088

Step-by-step explanation:

Given two cylinders

Volume of one = 64cm^3

Volume of the other = 729cm^2

Scale factor = Volume of the small/Volume of the large

Scale factor = 64:729

Scale factor = 0.087

Answer:

Yes, it is a right triangle.

Step-by-step explanation:

8²+15²=17²

64+225=289

289=289 YES, it is a right triangle