What is the solution to the equation? k – 7 = -24

Answer:

ln ab^2

ln a + 2 ln b

ln a^2 + ln b^2 - ln a.

Step-by-step explanation:

2 ln a + 2 ln b - ln a

= ln a^2 + ln b^2 - ln a

= ln (a^2/a) + ln b^2

= ln a + 2 ln b

= ln a + ln b^2

= ln ab^2.

Yo sup??

2lna+2lnb-lna

=lna²+lnb²-lna

=lna²b²/a

=lnab²

correct answer is option E

Hope this helps

Answer:

[tex]a)\\x=12\\y=12\sqrt{3}[/tex]

Step-by-step explanation:

The angle without a numerical value is 30°

Using the 30-60-90 rule:

Since we know that 2a is the side with length 24

[tex]2a=24\\a=24/2\\a=12\\x=12[/tex]

To find y

[tex]y=a\sqrt{3}\\a=12\\y=12\sqrt{3}\\[/tex]

We can conclude -

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

y = mx also represents direct proportionality. We can write [m] as -

m = y/x

OR

y₁/x₁ = y₂/x₂

Given is a straight line.

The equation of a straight line is written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Now, from this we get -

m = -A/B     {Slope}

c = - C/A     {y - intercept}

So, the equation will be -

y = mx + c

We can also calculate slope by -

m = (y₂ - y₁)/(x₂ - x₁)

Therefore, we can write -

m = -A/B   → unit rate of change of [y] with respect to [x].

c = - C/A   → the point where the graph cuts the [y] axis.

Equation  → y = mx + c

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Answer:

(3,-4)

Step-by-step explanation:

minimum is shown if you were to graph it,

i dont really know how else to explain it, its sorta self explanatory.. :)

Answer:

Since the leading coefficient of x^2 is positive.  Therefore, it is a minimum.

The value of the minimum is:  (3, -4)

Final answer:

The x-intercept of the line 5x - y = 10 is (2, 0), the y-intercept of the line 9x + 3y = -18 is (0, -6), and the equation 6x - 4y = -12 has an x-intercept at (-2, 0) and a y-intercept at (0, 3).

Explanation:

To find the x-intercept of a line, we set the value of y to zero and solve for x. For the equation 5x - y = 10, we set y to 0:

5x - (0) = 10

5x = 10

x = 2

The x-intercept is therefore the point (2, 0).

To find the y-intercept of a line, we set the value of x to zero and solve for y. For the equation 9x + 3y = -18, we set x to 0:

(0) + 3y = -18

3y = -18

y = -6

The y-intercept is therefore the point (0, -6).

For the equation 6x - 4y = -12, the x-intercept and y-intercept can be found similarly. Let's start with the x-intercept. Set y to 0:

6x - (0) = -12

6x = -12

x = -2

The x-intercept is the point (-2, 0). Now, for the y-intercept, we set x to 0:

(0) - 4y = -12

-4y = -12

y = 3

The y-intercept is the point (0, 3). Thus, for 6x - 4y = -12, the intercepts are x = -2 and y = 3.

Option B:

Point B approximates [tex]\sqrt{15}[/tex].

Solution:

Let us first find the approximate value of [tex]\sqrt{15}[/tex].

[tex]\sqrt{15}=3.87[/tex]

In the number line 3.87 lies between 3 and 4.

So that [tex]\sqrt{15}[/tex] lies between 3 and 4.

Look at the given number line.

Point B lies between 2 and 4.

Hence point B approximates [tex]\sqrt{15}[/tex].

Option B is the correct answer.

Answer:

X=5

Step-by-step explanation:

[tex]5x - 1 = 3x + 9 \\ 5x - 3x = 9 + 1 \\ 2x = 10 \\ x = 5[/tex]

5x-1=3x+9

collect like terms

5x-3x=9+1

2x=10

divide both sides by 2

x=5

Answer:

8

Step-by-step explanation:

18+8=26

26 / 3 = 8

8

hope this helped!

~ angilina

Answer:

Its 48.4512 and rounded it is 48 :)

Answer:

In circle D, angle ADC measures (7x + 2)°. Arc AC measures (8x - 8)°.

Circle D is shown. Points A, B, and C are on the circle. Point C is on the opposite side of points A and C. LInes are drawn from point A to point B, from point B to point C, from point C to point D, and from point D to point A. Angle A D C measures (7 x + 2) degrees. Arc A C measures (8 x minus 8) degrees.

What is the measure of Angle A B C ?

36° *****

43°  

72°  

144°

Step-by-step explanation:

its 36°

Applying the central angle theorem, the measure of angle ABC is: a. 36°

Given:

m∠ADC = (7x + 2)° (central angle)

measure of intercepted arc AC = (8x - 8)°

Therefore:

(7x + 2)° = (8x - 8)°

7x + 2 = 8x - 8

8 + 2 = 8x - 7x

10 = x

x = 10

Thus:

m∠ABC is an inscribed angle = half of measure of intercepted arc AC

m∠ABC = 1/2(8x - 8)°

m∠ABC = 1/2[8(10) - 8]

m∠ABC = 36°

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Answer:

This relationship is linear

Step-by-step explanation:

As x goes up by 5, y goes up 3. Since this is a constant rate, this relationship is, therefore, linear

Answer:

2 meters/ second

Step-by-step explanation:

Speed is equal to distance divided by time

Speed = 50 meters / 25 seconds

            = 2 meters/ second

The author most likely included this image to show how football uniforms have changed.

The thesis of "Heads Up on Sports Safety" is, as the name implies, sports safety.

The image shows some kids, all of them with their correspondent football equipment (protective equipment).

So, what is being presented in the image, is in some way how the "football uniforms have changed." In a way in which the safety of the players is a priority.

So that is the correct option.

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Answer:

A. $2.78

Step-by-step explanation:

You would multiply the cost per pound, $2.14, by the amount of pounds bought, 1.3. Then round to the nearest hundredth.

2.14 x 1.3 = 2.782

2.782 rounded to the nearest hundredth is $2.78

Answer:

I think it is 2.78 sorry if it’s not

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

8(2x+3) = 16x + 24

8(2x) + 8(3) = 16x + 24

Answer:

C)

Step-by-step explanation:

C) 8(2x+3)=8*2x+8*3=16x+24 true

Answer:

  (8/13)√13 ≈ 2.2

Step-by-step explanation:

The distance from point (x, y) to line ax+by=c can be found using the formula ...

  d = |ax +by -c|/√(a²+b²)

Filling in the given values, we find the distance to be

  d = |3·3 +2·2 -5|/√(3² +2²) = 8/√13

  d = (8√13)/13 ≈ 2.2 . . . . . after rationalizing the denominator

Answer:

12 UN 3

Step-by-step explanation:

ok i hope this is right answer

Answer:

8 gallons of gasoline costs $30.63.

Step-by-step explanation:

Set up a proportion to solve for x, or the cost of 8 gallons of gasoline. The $47.86 goes on top of the first ratio, and 12.5 goes on top of the second. This is because the $47.86 is the cost of the 12.5 gallons of gasoline. Next, put x on the bottom of the first ratio and 8 on the bottom of the second ratio. This is because the amount of money you are trying to find, x, is the cost of the 8 gallons of gasoline. The proportion should look like this: [tex]\frac{47.86}{x} = \frac{12.5}{8}[/tex]

To solve the proportion, use cross multiplication. To do that, multiply 8 by 47.86 to get 382.88. Then, divide 382.88 by 12.5. The answer is 30.6304‬, so round to the nearest cent to get a total of $30.63.

I hope this helps! ☺

Answer:

2/3 can be expressed as 0.6666666666666666666666 repeating

Step-by-step explanation:

Answer:

1/3    there is no 2/3

Step-by-step explanation:

Answer:

C.

the subtraction property of equality

Step-by-step explanation:

Given

8x + 15 = 11x + 2

Subtract 15 from both sides of the equation

8x + 15 - 15 = 11x + 2 - 15

8x = 11x - 13

Answer:

the addition property of equality

Step-by-step explanation:

Compare step 1 with step 2 in the solution process:

step 1: -5x = -4x - 15

step 2: -x = -15

The variable was isolated on the left side of the equation by adding 4x to both sides. This is justified by the addition property of equality.

Answer:

$878.50

Step-by-step explanation:

it's asking about new bike  cost including sales tax.

Answer:

100cm

Step-by-step explanation:

since the circumference is 20cm and formula for finding a circumference of a circle is c=2(pi)r, where r is radius and pi is constant value which is equivalent to 22/7. so the radius of 20cm circumference is 3.1847 by using this eqn c/2(pi)=r. now the calculated radius will b multiply by 5 to get 15.92cm which is put in cirumference formula i.e. c=2(pi)r we get 100cm circumference.

Answer:

Step-by-step explanation:

To find out how many miles you are going per minute you would find the unit rate. The unit rate is 3.6

You are going at 3.6 minutes per mile.

So you would multiply 3.6 by 7 to get 25.2 minutes.

Answer:

x=95

Step-by-step explanation:

320x+11400=440x

320*95+11400=440*95

30,400+11,400=41,800

41,800=41,800

The manufacturer needs to sell approximately 95 cell phones to cover its fixed costs of $11,400 per month. The profit per month depends on the number of units sold, with a contribution margin of $120 per unit after covering variable costs.

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Answer:

144

Step-by-step explanation:

48×3= 144

48×3=144

to make it easier just add the number being multiplied the amount of times its being multiplied.

48+48+48=144

Both 3x48 and 48x3 yield the same result, which is 144, because multiplication is commutative.

Both expressions involve multiplying the numbers 3 and 48.

In the first expression, 3x48 means you're multiplying 3 by 48. This gives you 144, because 3 times 48 equals 144.

In the second expression, 48x3 means you're multiplying 48 by 3. This also gives you 144, because multiplication is commutative, which means the order of the numbers doesn't change the result. So, whether you multiply 3 by 48 or 48 by 3, you'll always get the same answer, which is 144.

So, to summarize:

3x48 = 144

48x3 = 144

Both expressions result in the same value of 144.

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Answer:

63/100000 or 0.000063

Step-by-step explanation:

0.009*0.07 is the same as 9/1000*7/100 which is 63/100000 when you multiply numerator with numerator and denominator with denominator.

So your answer is 63/100000 or 0.000063

Answer:

The last angle is 60 degrees

Step-by-step explanation:

All triangles add up to 180 degrees

Step 1:  Make an equation

What is the angle of a triangle if one angle is 68 and the other is 52.

68 + 52 + x = 180

Step 2:  Combine like terms

68 + 52 + x = 180

120 + x = 180

Step 3:  Subtract 120 from both sides

120 + x - 120 = 180 - 120

x = 60

Answer:  The last angle is 60 degrees

The sum of the angles in a triangle will be equal to 180°.

68 + 52 = 120°

180 - 120 = 60° (This is the 3rd angle)

Best of Luck!

Answer:

C) They are perpendicular lines.

Step-by-step explanation:

We first need to find the slope of the graph of the lines passing through these points using:

[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]

The slope of the line that passes through (−12, 15) and (4, −5) is

[tex] m_{1} = \frac{ - 5 - 15}{4 - - 12} [/tex]

[tex]m_{1} = \frac{ - 20}{16} = - \frac{5}{4} [/tex]

The slope of the line going through (−8, −9) and (16, 21) is

[tex] m_{2} = \frac{21 - - 9}{16 - - 8} [/tex]

[tex] m_{2} = \frac{21 + 9}{16 + 8} [/tex]

[tex]m_{2} = \frac{30}{24} = \frac{5}{4} [/tex]

The product of the two slopes is

[tex]m_{1} \times m_{2} = - \frac{4}{5} \times \frac{5}{4} = - 1[/tex]

Since

[tex]m_{1} \times m_{2} = - 1[/tex]

the two lines are perpendicular.

Answer:D) They are intersecting lines.

Step-by-step explanation: that other answer was wrong .