Explain the process and the properties you have to use to solve the logarithmic equation: log(3)x + log(3)4 - 2 log(3)3 = 2

Answer:

123.2 miles

Step-by-step explanation:

Given that One airplane is 78 miles due south of a control tower. Another airplane is 52 miles from the control tower at a heading of N 38 degrees E. To the nearest tenth of a mile, how far apart are the two airplanes?

The angle Ø = 90 + 52 = 142 degree

Or 180 - 28 = 142 degree

Using cosine formula

D^2 = 78^2 + 52^2 - 2(78)(52)Cos142

D^2 = 6084 + 2704 - 8112Cos142

D^2 = 8788 + 6392.34

D^2 = 15180.34

D = 123.2 miles

Therefore, the two planes are 123.2 miles apart.

Answer:

88 is the answer

Step-by-step explanation:

How?

Like this...

3 out of 12 candies are orange, then how many candies are orange?

If you are not sure .. you can also verify your answer by this

Answer:

  2y = 2(-10) = -20

Step-by-step explanation:

Answer:

positive and negative or c1

Answer:

36

Step-by-step explanation:

8x + 4 = 4x + 20

8x - 4x = 20 - 4

4x = 16 divide both sides by 4

x = 4 and JM = 8x + 4 replace x with 4

8×4 + 4 = 36

Answer:

36

Step-by-step explanation:

8x + 4 = 4x + 20 ( being opposite sides of parallelogram)

8x - 4x = 20 - 4

4x = 16

x = 16 / 4

x = 4

JM = 8x + 4

=8 * 4 + 4

= 32 + 4

= 36

Hope it will help :)

The correct answer on edge is B!!!

Hope everyone's having a good day, stay safe and you can do this! :)

Answer:

A is the answer hope this helps

Answer:

exact form is 95/8 decimal form 11.875 and mixed number form n= 11 7/8

Answer:

[tex]-6x^3y^5[/tex]

Step-by-step explanation:

[tex]3xy^2\left(-2x^2y^3\right)[/tex]

Simplify

___________

Apply the negative rule [tex]a(-b)=-ab[/tex] :

[tex]-3xy^2\cdot \:2x^2y^3[/tex]

Add exponents :

[tex]-3x^{1+2}y^2\cdot \:2y^3[/tex]

[tex]-3x^3y^2\cdot \:2y^3[/tex]

Add exponents once again :

[tex]-3x^3y^{2+3}\cdot \:2[/tex]

[tex]-3x^3y^5\cdot \:2[/tex]

Multiply the whole number by the variable expression :

[tex]-6x^3y^5[/tex]

Answer:

-6x^3y^5

Step-by-step explanation:

Answer:

8/49

Step-by-step explanation:

Given data

Sample space

4 red marbles

8 blue marbles

2 green

Sample size

4+8+2 = 14

Pr(picking a red)

Pr(red)= 4/14= 2/7

With replacement

Pr(picking a blue)

Pr(blue)= 8/14= 4/7

Hence the probability of picking a red marble, replacing the item, and then picking a blue marble

= 2/7*4/7

= 8/49

Given:

Total number of players = 15

Required players = 5

To find:

The number of ways to select 5 young women for the basketball team if 15 players try out?

Solution:

We know that, the total number of ways to select r items from n item is

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

The total number of ways to select 5 players from 15 is

[tex]^{15}C_5=\dfrac{15!}{5!(15-5)!}[/tex]

[tex]^{15}C_5=\dfrac{15\times 14\times 13\times 12\times 11\times 10!}{5\times 4\times 3\times 2\times 1\times 10!}[/tex]

[tex]^{15}C_5=\dfrac{15\times 14\times 13\times 12\times 11}{5\times 4\times 3\times 2\times 1}[/tex]

[tex]^{15}C_5=3\times 7\times 13\times 11[/tex]

[tex]^{15}C_5=3003[/tex]

Therefore, coach Lewis can select 5 young women from 15 in 3003 ways.

Step-by-step explanation:

Answer:

1/18

Step-by-step explanation:

[tex]( {2}^{ - 3} \times {16}^{ \frac{1}{2} } ) \div ( {81}^{ \frac{3}{4} } \times {27}^{ - \frac{1}{3} } ) \\ \\ =( {2}^{ - 3} \times {2}^{ \frac{4 \times 1}{2} } ) \div ( {3}^{ \frac{4 \times 3}{4} } \times {3}^{ - \frac{3 \times 1}{3} } ) \\ \\=( {2}^{ - 3} \times {2}^{ 2} ) \div ( {3}^{ 3 } \times {3}^{ - 1 } ) \\ \\=( {2}^{ - 3 + 2} ) \div ( {3}^{ 3 - 1 } ) \\ \\ = {2}^{ - 1} \div {3}^{2} \\ \\ = \frac{1}{2} \times \frac{1}{9} \\ \\ = \frac{1}{18} [/tex]

Answer:

h = [tex]-\frac{17}{6}[/tex]

Step-by-step explanation:

7 + 2(1 + 6h) = -25

Distribute,

7 + 2 + 12h = -25

Simplify,

7 + 2 + 12h = -25

9 + 12h = -25

-9            -9

12h = -34

/12      /12

h = [tex]-\frac{17}{6}[/tex]

Answer:

41.472 m²

8.449m²

Step-by-step explanation:

c) scale facot is 7.2/5 = 1.44

the square scale factor is 1.44^2 = 2.0736

times 20 by this to get the area

2.0737x 20 = 41.472 m²

d) 2.8/6 = SF = 0.467

0.2178 x 38.8 = 8.449m²

Answer:

3. D

4. C

5. I don't know sorry

Step-by-step explanation:

Answer:

x = 1

y = -2

Step-by-step explanation:

We have the system of equations:

-7*x - 8*y = 9

-4*x + 9*y = -22

To solve this type of system, we need to start by isolating one of the variables in one of the equations.

I will isolate the variable x in the first equation to get:

-7*x - 8*y = 9

-7*x = 9 + 8*y

x = (9 + 8*y)/(-7)

x = -(9 + 8*y)/7

Now we can replace this in the other equation to get:

-4*(-(9 + 8*y)/7) + 9*y = -22

And now we can solve this for y, we will get:

(4/7)*(9 + 8*y) + 9*y = -22

(4/7)*9 + y*(9 + 8*(4/7)) = -22

y*(63/7 + 32/7) = -22 - (36/7)

y*(95/7) = -(22*7/7) - (36/7)

y = (7/95)*(-(22*7/7) - (36/7)) = (-22*7 - 36)/95 = -2

y = - 2

Now we can replace this in the equation x = (9 + 8*y)/(-7) to find the value of x:

x = (9 +8*(-2))/(-7) = 1

Then the solution for the system is the pair (1, -2)

That means:

x = 1

y = -2

Answer:

142 cm^2

Step-by-step explanation:

2(L*H)+2(L*W)+2(W*H)=SA

7*3=21

21*2=42

7*5=35

35*2=70

5*3=15*2=30

30+70+42=142

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

Explanation:

Refer to the diagram below.

If we focus on triangle ACD, then we can use the pythagorean theorem to say

d^2 + m^2 = 2050^2

d^2 = 2050^2 - m^2

Now if we focus on triangle DCB, we can also use the pythagorean theorem to say

d^2 + n^2 = 1420^2

2050^2 - m^2 + n^2 = 1420^2 ...... replace d^2 with 2050^2 - m^2

n^2 - m^2 = 1420^2 - 2050^2

n^2 - m^2 = -2,186,100

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

In the diagram, I set up m and n such that m+n = 3000. This solves to n = 3000-m

We can then say

n^2 - m^2 = -2,186,100

(3000-m)^2 - m^2 = -2,186,100

m^2 - 6000m + 9,000,000 - m^2 = -2,186,100

-6000m + 9,000,000 = -2,186,100

-6000m = -2,186,100 - 9,000,000

-6000m = -11,186,100

m = (-11,186,100)/(-6000)

m = 1864.35

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

We now have enough to find angle theta, which is the angle between segments AC and AD (the line of sight to the first tower and the highway lines respectively)

We'll focus entirely on triangle ACD

cos(angle) = adjacent/hypotenuse

cos(A) = AD/AC

cos(theta) = m/2050

cos(theta) = 1864.35/2050

cos(theta) = 0.90943902439024 which is approximate

theta = arccos(0.90943902439024)

theta = 24.572056388088

theta = 24.6 degrees

Make sure your calculator is in degree mode. One way to check is that cos(60) should evaluate to 0.5

Answer:

37.5

Step-by-step explanation:

37.5 wpm

Answer:

37.5 words per minute!

Step-by-step explanation:

Chris can type 150 words, dividing the amount of words by the minutes can give us the rate per minute.

150/4= 37.5 words per minutes

You just found the rate of which Chris types per minute!

Answer:

Your answer is

slope-intercept equation is y=-3x+6

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Answer:

B, D, and E

Step-by-step explanation:

8 oz = 1 cup

1 qt = 32 oz

1 pint = 16 oz

14 cups = 8 x 14 = 112 oz

A)  64 + 64 = 128            no

B)  96 + 16 = 112             yes

C)  32 + 96 + 16 = 144     no

D) 32 + 80 = 112              yes

E)  64 + 32 + 16 = 112       yes

Answer:

31.5

Step-by-step explanation:

Ok.

2/3x - 9 = 12

2/3x = 21

x = 21*(3/2)

x = 63/2 = 31.5

Answer:

[tex]x=\frac{63}{2}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} \times x-9=12[/tex]

Add 9 to both sides:

[tex]\frac{2}{3}x-9+9=12+9\\\frac{2}{3}x=21[/tex]

Multiply both sides by 3/2:

[tex](\frac{3}{2} )\times(\frac{2}{3}x)=(\frac{3}{2} )*(21)\\x=\frac{63}{2}[/tex]

x = 63/2 is your answer.

Answer: 40

Step-by-step explanation: 60/3= 20    20x3= 60    20x2=40