Which of the following are true statements? Check all that apply. (WILL GIVE BRAINLIEST)

A. log(M/N) = (logM)/(logN) B. logM+logN=log(MN)
C. log(M/N)=logM-logN
D. logM-logN=log(M-N)

Answer:

x=60

Step-by-step explanation:

First, you subtract 10 from both sides. Your final answer is 60.

Answer:

El ancho del río es 59.9 metros.

Step-by-step explanation:

El ancho del río lo podemos calcular con la siguiente relación trigonométrica asumiendo que la torre forma un triángulo rectángulo con el río:

[tex]tan(\theta) = \frac{CO}{CA}[/tex]

En donde:

CA: es el cateto adyacente = Altura de la torre = 28.2 m

CO: es el cateto opuesto = ancho del río =?

θ: es el ángulo adyacente a CA

Dado que el ángulo de depresión (25.2°) está ubicado fuera de la parte superior de la hipotenusa del triángulo que forma la torre con la orilla opuesta del río, debemos calcular el ángulo interno (θ) como sigue:

[tex]\theta = (90 - 25.2)^{\circ} = 64.8 ^{\circ}[/tex]

Ahora, el ancho del río es:

[tex]CO = tan(\alpha)*CA = tan(64.8)*28.2 = 59.9 m[/tex]

Por lo tanto, el ancho del río es 59.9 metros.

Espero que te sea de utilidad!                  

Answer:

Its 48

Step-by-step explanation:

subtract 69 and 56 from 173, what you have left is your answer

48

Step-by-step explanation:

total 176 subtract 69 and 58 since they are given.

176 - 69 -56 = 48

Answer:

See Below.

Step-by-step explanation:

We want to prove that:

[tex]\displaystyle \sin\theta\sec\theta+\cos\theta\csc\theta = 2\csc2\theta[/tex]

Let secθ = 1 / cosθ and cscθ = 1 / sinθ:

[tex]\displaystyle \frac{\sin\theta}{\cos\theta}+\frac{\cos\theta}{\sin\theta}=2\csc2\theta[/tex]

Creat a common denominator. Multiply the first fraction by sinθ and the second by cosθ. Hence:

[tex]\displaystyle \frac{\sin^2\theta}{\sin\theta\cos\theta}+\frac{\cos^2\theta}{\sin\theta\cos\theta}=2\csc2\theta[/tex]

Combine fractions:

[tex]\displaystyle \frac{\sin^2\theta + \cos^2\theta}{\sin\theta\cos\theta}=2\csc2\theta[/tex]

Simplify. Recall that sin²θ + cos²θ = 1:

[tex]\displaystyle \frac{1}{\sin\theta\cos\theta}=2\csc2\theta[/tex]

Multiply the fraction by two:

[tex]\displaystyle \frac{2}{2\sin\theta\cos\theta}=2\csc2\theta[/tex]

Recall that sin2θ = 2sinθcosθ. Hence:

[tex]\displaystyle \frac{2}{\sin2\theta}=2\csc2\theta[/tex]

By definition:

[tex]\displaystyle 2\csc2\theta = 2\csc2\theta[/tex]

Hence proven.

To find a probability you take the specific parameters divided by the entire set of possibilities.

For example, the specific parameter here is that the drink must be a medium, (no matter the temperature). So, we would add 48 and 12 to get 60.

And we know that the total number of orders is 100.

So, we should divide 60 by 100, and we get 60%.

Answer: y = 2x + 20; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 20.

Step-by-step explanation:

Answer:

The second one is the answer.

Step-by-step explanation:

Objective: Linear Equation Problems.

Let model the equation given to us.

Vlad spent 20 minutes on his homework already and he complete x math problems every 2 minutes so we represent this as

[tex]y = 2x + 20[/tex]

X can be any real number greater than or equal zero because time isnt negative so anything below zero is wrong.

Y can be any real number but however since Vlad spent 20 mins on his homework already, he must spend over or equal to 20 minutes completing the total homework.

The second one is the answer

Answer:

Daylily: $9

Geranium: $2

Step-by-step explanation:

1 daylily costs x.

1 geranium costs y.

11x + 4y = 107

4x + 12y = 60

Multiply the first equation by 3 and subtract the second equation from it.

29x = 261

x = 9

4x + 12y = 60

4(9) + 12y = 60

12y = 24

y = 2

Answer:

Daylily: $9

Geranium: $2

Answer:

1) Set up a system of equations. Assign each plant a variable. I used X for Daylillies and Y for Geraniums. In this case:

11x + 4y = 107

4x + 12y = 60

2) Get one variable by itsef. You can choose to either get the X or the Y by itself. For the sake of ease, I'll go with achieving X.

3) Using the equation 4x + 12y = 60, isolate the 4x.

4x = -12y + 60

4) Divide both sides by 4.

x = -3y + 15

5) X is isolated. Now plug in that isolated X into another remaining equation in order to isolate Y. Don't forget to combine like terms.

11(-3y + 15) + 4y = 107

-33y + 165 + 4y = 107

-29y + 165 = 107

-29y = -58

y = 2

6) You have your Y, which means that each Geranium costs $2 each. Now, you need to find X. Plug in Y into any of the first two equations that we started with.

4x + 12(2) = 60

4x + 24 = 60

4x = 36

x = 9

7) You now have both X and Y. Daylillies cost $9 each, and Geraniums cost $2 each.

8) You can double-check your answers by plugging in your final X and Y values into any of the first equations you wrote. If it comes out equal, it works.

Answer:

place it 2 3 4 5 6 7 8 9 10 1 then is come 18

Answer:

2 3 4 5 6 7 8 9 10 1 then come 18

Answer:

x = his sister's height = 19 inches

Step-by-step explanation:

Let

x = his sister's height

Jahlil's height is given by the equation:

4x - 6 = 70

4x = 70 + 6

4x = 76

x = 76/4

x = 19 inches

x = his sister's height = 19 inches

Check:

4x - 6 = 70

4(19) - 6 = 70

76 - 6 = 70

70 = 70

Answer:

-60x

Step-by-step explanation:

Answer:

B. 23

Step-by-step explanation:

16, 19, 19, 22, 24, 33, 37, 46

Median = n/2

= 8/2

= 4//

(22 + 24)÷2 = 46 ÷ 2

= 23

Answer:

90 percent

Step-by-step explanation:

the fraction is 90/100 so the percentage is 90%

Answer:

Yes every integer has a successor and a predecessor

Step-by-step explanation:

Answer:

3/2, 6/4, 9/6, 12/8, 15/10, 18/12, 21/14, 24/16, 27/18, 30/20, 33/22, 36/24, 39/26, 42/28, 45/30, 48/32, 51/34, 54/36, 57/38, 60/40

Step-by-step explanation:

Answer:

20 : 30

Step-by-step explanation:

Given Ratio :-

Equivalent Ratio :-

Answer:

B

Step-by-step explanation:

Two negatives is a positive, and you want your outcome to be a positive x, therefore b is the correct answer.

Answer:

second one

A negative multiplied by a negative is a positive.

- (-x) is multiplication.

Answer: 60%

1000÷2=500

Clive: 500-100= 400

Gillian: 500+100= 600 (Because Gillian has 100 more votes than Clive)

[tex] \frac{600}{1000} \times 100\% = 60\%[/tex]

If Gillian received 100 more votes than Clive, Gillian received 55% of the 1,000 votes.

To determine the percentage of votes for Gillian out of the total 1,000 votes, we need to calculate the proportion of votes that Gillian received.

Given that Gillian received 100 more votes than Clive, we can set up the equation:

Votes for Gillian = Votes for Clive + 100

Let's denote the number of votes for Clive as C. Therefore, the number of votes for Gillian is C + 100.

The total number of votes is 1,000, so we have the equation:

C + (C + 100) = 1,000

Simplifying, we find:

2C + 100 = 1,000

2C = 900

C = 450

Therefore, Clive received 450 votes and Gillian received 450 + 100 = 550 votes.

To calculate the percentage of votes for Gillian, we divide her votes by the total votes and multiply by 100:

(550 / 1,000) * 100 = 55%

To learn more about percentage click on,

https://brainly.com/question/13228217

#SPJ2

Step-by-step explanation:

The Answer is (x-9) (x-3) Factor 12 and 27 out.

Answer:

[tex]x^{2} -12x+27=[/tex]

[tex](x-3)and\:(x-9)[/tex]

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hope it helps...

have a great day!!

Answer:

13

Step-by-step explanation:

Median of a trapezoid = sum of 2 bases divided by 2

Bases = 10 and 16

Median = (10 + 16)/2

10 + 16 = 26

26/2 = 13

Median = 13

Answer:

Okay

Step-by-step explanation:

Answer:

Step-by-step explanation:

Six liters of paint will cover 50 square meters.

  6L ⇒ 50m²

then,

  1L ⇒ 50/6 m²

  9L ⇒ 50 × [tex]\frac{9}{6}[/tex] m²

       ⇒ 75 m²

Answer:

a=3

b=1

Step-by-step explanation:

3=2a-3 => a=3

b=2*2-3 = 1

Answer:

12 fives

Step-by-step explanation:

6 tens is 60, so 60÷5 is 12

Answer:

12

Step-by-step explanation: 60 divided by 12 is 5 and 12 times 5 is 60 so there you go.

Answer:

You would pour 50.3 in^3 of juice

Step-by-step explanation:

The term ‘cubic’ indicates volume

so in the context of this question, we are to calculate the volume of the cylinder, then we divide by 2

Mathematically, we have the volume of the cylinder as;

V = pi * r^2 * h

r = 2 inch

h = 8 inch

Since we are dividing the volume by 2 (exactly half full)

V = 1/2 * pi * 2^2 * 8

V = 50.3 in^3

Answer:

p = 1.2

Step-by-step explanation:

Bring 3.9 to the other side of the equation.

-10.9p = -13.08

p = 1.2

Answer:

She has 9 choices for each different cheese.

For each of these cheeses there are 9 different wines,

So 9 * 9 = 81 and there are

81 possible different choices

heyy im not sure if you meant origin instead of original but the origin would be (0,0)

Answer:

2/3

Step-by-step explanation:

the slope form equation is :  y2 - y1/ x2-x1 (aka change in y divided by change in x)

so it would be  2-0/ 3-0 = 2/3

the slope is 2/3

Answer:

p = 2 and q = 2

Step-by-step explanation:

hope this helps please like and mark as brainliest

Answer:

a

Step-by-step explanation:

in integer there will negative ,positive or rational number

Answer:

1

Step-by-step explanation:

the line passes point (-3,0) abd (0, 3)

so, the gradient = (3-0)/(0+3) = 3/3 = 1

Answer:

The vertex is at (1, -108).

Step-by-step explanation:

We have the function:

[tex]f(x)=3(x-7)(x+5)[/tex]

And we want to find its vertex point.

Note that this is in factored form. Hence, our roots/zeros are x = 7 and x = -5.

Since a parabola is symmetric along its vertex, the x-coordinate of the vertex is halfway between the two zeros. Hence:

[tex]\displaystyle x=\frac{7+(-5)}{2}=\frac{2}{2}=1[/tex]

To find the y-coordinate, substitute this back into the function. Hence:

[tex]f(1)=3((1)-7)((1)+5)=3(-6)(6)=-108[/tex]

Therefore, our vertex is at (1, -108).

Answer:

vertex (1, -108)

Step-by-step explanation:

First find the zeros

f(x) = 3(x-7)(x+5)

0 =  3(x-7)(x+5)

Using the zero product property

x-7 = 0   x+5 = 0

x = 7  x = -5

The x coordinate of the vertex is the average of the zeros

(7+-5)/2 = 2/2 =1

To find the y coordinate, substitute the x coordinate into the equation

y = 3(1-7)(1+5) = 3(-6)(6) = -108