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Answer:

no solution

Step-by-step explanation:

[tex]\dfrac{2x - 6}{4} > \dfrac{x - 3}{2}[/tex]

The LCD is 4, so multiply both sides of the inequality by 4.

[tex]4 \times \dfrac{2x - 6}{4} > 4 \times \dfrac{x - 3}{2}[/tex]

[tex]2x - 6 > 2 \times (x - 3)[/tex]

[tex]2x - 6 > 2x - 6[/tex]

Subtract 2x from both sides.

[tex]-6 > -6[/tex]

Since -6 = -6, the above statement is false, so there are no solutions.

Answer: no solution

Answer:

35°

Step-by-step explanation:

From the sketch made, to obtain B we use the cosine angle formula :

We have 2 so des and an included angle

Cos B = (a² + c² - b²) / 2ac

First we obtain the side c

c² = a² + b² - 2ab CosC

c² = 11.2² + 6.7² - 2(11.7 * 6.7) * cos 72

c = 11.13

Using the value of c

Cos B = (a² + c² - b²) / 2ac

CosB = (11.2² + 11.13² - 6.7²) / (2*11.2*11.13)

Cos B = 204.4269 / 249.312

B = Cos^-1(204.4269 / 249.312)

B = 34.9°

Answer:

a. n^2-2n+1/n squared

b. 9 green counters

Step-by-step explanation:

just as you role 3 dices and the chances are MULTIPLIED, the same goes for this problem.

n-1/n times n-1/n would create the probability of getting 2 green counters randomly from the bag's possibility.

n-1/n times n-1/n can be said as (n-1) squared or in simple terms:

n^2 -2n+1 or in words, n squared -2n +1.

divided by n squared is the fraction probability in simplest form:

n^2-2n+1/n squared

the next question is actually much easier:

0.9 is 90% in percentages, this can be detrimental to your grade if your teachers asked you for the decimal, not percentage of it.

for 1 every yellow counter, there is 9 green counters. so in the bag, there is one yellow counter meaning there are 9 green counters in the bag (after finishing the first question)

Part (a)

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

Explanation:

There are n-1 green counters to start out of n counters total.

The probability of selecting a green counter is (n-1)/n

The probability of selecting a second green counter is (n-2)/(n-1) since we're not putting the first counter back.

Multiplying the two fractions leads to (n-2)/n

Note how the (n-1) terms cancel.

===============================================================

Part (b)

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

Explanation:

We set the result of part (a) equal to 0.9 and solve for n

(n-2)/n = 0.9

(n-2)/n = 9/10

10(n-2) = 9n ... cross multiply

10n-20 = 9n

10n-9n = 20

n = 20

We have 20 counters in the bag. One counter is yellow and the remaining n-1 = 20-1 = 19 are green.

The probability of getting one green counter is 19/20

The probability of a second green counter is 18/19

The probability of two green counters is (19/20)*(18/19) = 18/20 = 9/10 = 0.9

This helps confirm the answer.

Answer:

1/2 or 0.5

Step-by-step explanation:

All possible odd values on a 6-sided die include 1, 3, and 5; that is 3 values out of 6 total values. 3/6 or 1/2 is a 0.5 probability.

Answer:

227 is the 74th term of your question.

Answer:

A) 48m + 12 and 3(2m + 4 + 14m)

B) 48m + 12 is equivalent to 6(m + 2 + 7m) because if you distribute the 6 to everything inside the parentheses, you get 6m + 12 + 42m. This can be simplified further by adding 6m and 42m together, leaving you with 48m + 12.  

C) m = 2

6(m + 2 + 7m)

6[2 + 2 + 7(2)]

6(4 + 14)

6(18) 1

108

3(2m + 4 + 14m)

3[2(2) + 4 + 14(2)]

3(4 + 4 + 28)

3(8 + 28) 3

(36) 108

108 = 108  

Answer:

Option 4) -$45 per month; the amount of money withdrawn per month.

Step-by-step explanation:

The rate of change is 45. Before he began taking money out to pay for his classes[month 0], he had $190. Since then, every month, $45 have been withdrawn.

Complete question is;

Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7. What is the probability P (X > 42)?

Answer:

P(X > 42) = 0.1271

Step-by-step explanation:

We are given;

mean; μ = 50

Standard deviation; σ = 7

Formula for the z-score is;

z = (x - μ)/σ

Thus;

z = (42 - 50)/7

z = -1.14

Since we are looking for P (X > 42), then let's look up this z-value from the z-distribution table attached.

We have;

P(X > 42) = 0.1271

Answer:

The answer is B

Step-by-step explanation:

I went on socratic and found the answer

Answer:

second graph

Step-by-step explanation:

took the test on edge

Answer:

4+(3 times x)= height of balloon.   x = seconds

Step-by-step explanation:

I hope this helps you! :D

Answer:

F= 60.256

D = 29.744

Step-by-step explanation:

This is a completely different from the way usually I do it

B = arcsin(b·sin(A)a)

= 1.05166 rad = 60.256°

180-60.256-90 = 29.744°

Answer:

2

Step-by-step explanation:

Answer:

The opposite of a number is the number on the other side of 0 number line, and the same distance from 0.

Answer:

iv. q/6E0

Step-by-step explanation:

Electric flux formula:

The electic flux formula, of a charge q is given by, through an entire cube, is given by:

[tex]E = \frac{q}{E_o}[/tex]

In which [tex]E_o[/tex] is a constant related to the material.

The electric flux through any one face of the cube is:

Key-word is face, and a cube has 6 faces, with the force distributed evenly throughout it. Thus

[tex]E_f = \frac{1}{6} \times \frac{q}{E_o} = \frac{q}{6E_o}[/tex]

And the correct answer is given by option iv.

Answer:

c

Step-by-step explanation:

9514 1404 393

Answer:

  C

Step-by-step explanation:

The step shown indicates that y was eliminated from the equations. For choices A, B, D, this is done by adding the equations together (the y-coefficients are opposites). The result of doing that gives x-terms of 4x, 0x, and 0x, respectively. These x-terms do not match the one given: 2x.

For choice C, the y-term is eliminated by subtracting twice the second equation from the first. Doing that gives ...

  (4x +2y) -2(x +y) = (14) -2(3)

  4x +2y -2x -2y = 14 -6 . . . . eliminate parentheses

  2x = 8 . . . . . . . . . . . . . . collect terms

Answer:

umm not sure on this one either 9328.71

Step-by-step explanation:

Answer:

The total mass of Earth's hydrosphere is about 1.4 × 1018 tonnes, which is about 0.023% of Earth's total mass. At any given time, about 20 × 1012 tonnes of this is in the form of water vapor in the Earth's atmosphere (for practical purposes, 1 cubic meter of water weighs one tonne).

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

So let's think smart.  If you look at the image I made a diagram.  The 3 squares I colored in represent 3/4.  It takes 14 3/4 strips to cover 10 1/2 inches.

The Number of 3/4 inch strips required to cover 10 1/2 inches of caulk will be 14

The total inches of caulk to be covered = 10 1/2 inches

The fraction of inch strip to be used = 3/4 inches

To obtain the number of 3/4 inch strop required ;

We divide the total inches of caulk by 3/4

Hence,

10 1/2 ÷ 3/4

21/2 ÷ 3/4

Change the sign to × and take the reciprocal of 3/4 ;

21/2 × 4/3

(21 × 4) / (2 × 3) = 84 / 6

84 / 6 = 14

Hence, the number of 3/4 inch strip required is 14

Learn more : https://brainly.com/question/2610134

Answer:

hi, yes the option B is the correct answer

Given:

The equation of a line is:

[tex]2y+3x=10[/tex]

The line is dilated by factor 3.

To find:

The result of dilation.

Solution:

The equation of a line is:

[tex]2y+3x=10[/tex]

For [tex]x=0[/tex],

[tex]2y+3(0)=10[/tex]

[tex]2y+0=10[/tex]

[tex]y=\dfrac{10}{2}[/tex]

[tex]y=5[/tex]

For [tex]x=2[/tex],

[tex]2y+3(2)=10[/tex]

[tex]2y+6=10[/tex]

[tex]2y=10-6[/tex]

[tex]2y=4[/tex]

Divide both sides by 2.

[tex]y=\dfrac{4}{2}[/tex]

[tex]y=2[/tex]

The given line passes through the two points A(0,5) and B(2,2).

If the line dilated by factor 3 with origin as center of dilation, then

[tex](x,y)\to (3x,3y)[/tex]

Using this rule, we get

[tex]A(0,5)\to A'(3(0),3(5))[/tex]

[tex]A(0,5)\to A'(0,15)[/tex]

Similarly,

[tex]B(2,2)\to B'(3(2),3(2))[/tex]

[tex]B(2,2)\to B'(6,6)[/tex]

The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-15=\dfrac{6-15}{6-0}(x-0)[/tex]

[tex]y-15=\dfrac{-9}{6}(x)[/tex]

[tex]y-15=\dfrac{-3}{2}x[/tex]

Multiply both sides by 2.

[tex]2(y-15)=-3x[/tex]

[tex]2y-30=-3x[/tex]

[tex]2y+3x=30[/tex]

Therefore, the equation of the line after the dilation is [tex]2y+3x=30[/tex].

Answer:

b.

Step-by-step explanation:

c= 3r

such that 3(6) = 18 ...

Answer:

Radius: 3units

center: (1,-4)

Answer:

38,78461

Step-by-step explanation:

The triangle is composed by two right triangles. the sum of inner angles of a triangle is 180 degrees. If we look at the right one we can say that it’s top angle is 60 degrees. In fact 30 + 60 + 90 = 180

So also the top angle of the biggest triangle is right:

60 + 30 = 90

We can also say that the leg of that triangle on left that lies on the hypotenuse is half of its hypotenuse thanks to the its angles.

Thanks to these informations we can use a theorem, called first Euclid’s theorem that allow us to build a proportion:

6 : 12 = 12 : hypotenuse

6 * hypotenuse = 144

hypotenuse = 24

x = 24 - 6 = 18

For the same theorem:

18 : y = y : 24

y^2 = 432

y = 20,78461

18 + 20,78461 = 38,78461

Answer:

390 yds

Step-by-step explanation:

Take the amount of wood per birdhouse and multiply by the number of birdhouses being made

78 * 5 =390 yds

Answer:

390 yds

Step-by-step explanation:

Take the amount of wood per birdhouse and multiply by the number of birdhouses being made

78 * 5 =390 yds

Hope this helps!!!

Answer:

-2.41: -2.14: -2.1: -11/8: 7/50

Answer:

Step-by-step explanation:

Answer:

the top one that's orange