What is the solution of log; (3x+2) = log: (4x-6)?

Answer:

0.04997916927

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

arcsin(0.5) deg

= 30

Answer:

[tex]x=19.67[/tex]cm

Step-by-step explanation:

Por Pitágoras,

[tex]x^{2} = 26^{2} - 17^{2} \\\\x^{2} = 676 - 289\\\\x^{2} =387\\\\x=\sqrt{387} \\\\x=19.67[/tex]

Answer:

4 or....

Step-by-step explanation:

I think its 4. maybe not

15.05x6= 90.3

171.00-90.3=80.7

Answer:

The age of Sydney's is 46 and the age of Devaughn is 61

Step-by-step explanation:

Here;

Devaughn: 15yrs older that S..= 15+7= 22yrs old

sum of their age= 107

Now;

Sydney age= 107 - 100

7yrs old,,

Answer: Rs 7600

Step-by-step explanation:

The interest will be calculated as:

= Principal × Rate × Time

= 40000 × 5% × 4

= 40000 × 0.05 × 4

= 8000

Since he has to pay 5% of the total interest as tax for the bank, the amount that he will he get after 4 years will be:

= 8000 - (5% × 8000)

= 8000 - (0.05 × 8000)

= 8000 - 400

= 7600

Therefore, he'll get Rs 7600

Given:

The length of the ladder  = 12 ft

The angle of ladder with ground = 60 degrees

To find:

How far up the building the ladder will reach.

Solution:

Using the given information draw a figure as shown below.

We need to find the vertical distance between the top of ladder and the ground.

Let x be the required distance.

In a right angle triangle,

[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

In the below triangle ABC,

[tex]\sin A=\dfrac{BC}{AC}[/tex]

[tex]\sin 60^\circ=\dfrac{x}{12}[/tex]

[tex]\dfrac{\sqrt{3}}{2}=\dfrac{x}{12}[/tex]

Multiply both sides by 12.

[tex]\dfrac{\sqrt{3}}{2}\times 12=x[/tex]

[tex]6\sqrt{3}=x[/tex]

Therefore, the ladder will reach [tex]6\sqrt{3}[/tex] ft far up the building.

Answer:

H0 : p = 0.5

H1 : p > 0.5

Step-by-step explanation:

The the claim to test and determine if a signifant evidence for is if more than half of viewers want a return to original day time program. Since, this is

Since, p is the proportion who prefer the regular day time program;

The hypothesis to test is :

If p > 0.5 `; this represents the alternative hypothesis which we want to check if it we have significant evidence to adopt the claim.

The Null value on the other hand will take the a proportion equal to the p: and it is the initial truth until the alternative has a strong evidence to reject the null.

The null ;

H0 : μ = 0.5

Answer:

I think the answer I think the answer would be 14

Answer:

Surface Area = 2×(10×7 + 10×4 + 7×4) = 276 feet^2

Step-by-step explanation:

Hope this helps :)

Answer:

Step-by-step explanation:

11.5 is greater than -12.5

Answer: -12.5 is greater

-

Step-by-step explanation:

Answer:

y=90 when x=4

Step-by-step explanation:

We are given that

[tex]y\propto (x+2)^2[/tex]

When x=8 and y=250

We have to find the value of y when x=4

[tex]y=k(x+2)^2[/tex]

Where k= Proportionality constant

Substitute the values

[tex]250=k(8+2)^2[/tex]

[tex]250=100k[/tex]

[tex]k=\frac{250}{100}[/tex]

[tex]k=5/2[/tex]

Now, substitute x=4 and k=5/2

Then, we get

[tex]y=\frac{5}{2}(4+2)^2[/tex]

[tex]y=\frac{5}{2}\times 36[/tex]

[tex]y=90[/tex]

Answer:

(-3, -2)

Step-by-step explanation:

"If the parabola opens up, the vertex represents the lowest point on the graph". By looking at the graph, we can see that the lowest point is (-3, -2).

Answer:

2. 2(7y-2)

3. -5-2x

4. 9+y

5. 5x-7

6. 3m+2

7. 8-9m

Step-by-step explanation:

collect like terms

Answer:

101

Step-by-step explanation:

180-79

Answer:

the x coordinate is negative and y coordinate is positive

Step-by-step explanation:

Answer:

-46

Step-by-step explanation:

4(-8x + 5) = -32x - 26

-32x + 20 = -32x - 26

-32x + 32x = -26 - 20

x = -46

Answer:

-32x+20=-32x-26

20=-26

so unequal or undefined

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

252

Step-by-step explanation:

To answer the equation, you first need to note that it asks for surface area.

To find surface area, you use an input formula, known as SA=2lw+2lh+2hw. 'H' stands for height, 'L' stands for length, and 'W' stands for width.

Since the current height is 12, the current length is 6, and the width is 3, you need to plug them into the equation.

SA=2(6)(3)+2(6)(12)+2(12)(3)

SA=252

Quick tip! It's tempting to just multiply them all at once, but using the power of distribution is vital to solving these equations.

Answer:

She Bought 40 Gallons of Milk

Step-by-step explanation:

Answer:

you add an image

Step-by-step explanation:

Answer:

... if it had the same slope in the y=mx+b equation where m is the slope and x is just x and b is the y-intercept

Step-by-step explanation:

say Car A had the equation y=2x+3- Car B would also have to have be y=2x but the y intercept could be any value

9514 1404 393

Answer:

  (x, y) = (5, 2)

Step-by-step explanation:

Given:

  LP = x

  MP = 2y+3

  NP = y+3

  KP = 3x -8

  KP = MP, LP = NP

Find:

  x, y

Solution:

The given relations between the segment lengths let us write two equations:

  KP = MP

  3x -8 = 2y +3   ⇒   3x -2y -11 = 0   [eq1]

  LP = NP

  x = y +3   ⇒   x -y -3 = 0   [eq2]

__

Subtracting 3 times [eq2] from [eq1] gives ...

  (3x -2y -11) -3(x -y -3) = 0

  y -2 = 0 . . . . . . . . simplify

  y = 2 . . . . . . . . . . add 2

Substituting this value into [eq2] gives ...

  x = 2 + 3 = 5

The values of x and y are ...

  x = 5, y = 2

Answer:

option 1

Step-by-step explanation:

[tex]volume \ of \ cone = \frac{1}{3} \pi r^2 h \\r = 4\\h = 8\\so, volume = \frac{1}{3} \pi (4^2)( 8)[/tex]

Answer:

The margin of error is of 0.01.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.7}{2} = 0.15[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.15 = 0.85[/tex], so Z = 1.037.

The margin of error is of:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation was 0.21.

This means that [tex]\sigma = 0.21[/tex]

Sample of 450:

This means that [tex]n = 450[/tex]

What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.037\frac{0.21}{\sqrt{450}}[/tex]

[tex]M = 0.01[/tex]

The margin of error is of 0.01.

Answer:

B) 204

Step-by-step explanation:

Rectangle 12 * 12 = 144

+

(2) Triangle A=h (b/2) = 12*(5/2) = 30 each

Answer:

24 in total

Step-by-step explanation:

Answer:

(1,4)

Step-by-step explanation:

(1,-4) is over 1 and down negative 4 so reflected over the x-axis(the horizontal one) it would be four up so the answer is (1,4)

Answer: (1,4)

Step-by-step explanation:

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (1,-4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (1,4)

Answer:

Come out even

Step-by-step explanation:

The total numbers of faces in rolling two dice = 6 X 6 = 36

The sum of appears in the following cases: {6, 1}, {1, 6}, {2, 5}, {5, 2}, (3, 4}, {4, 3}. Making a total of 6 cases

Probability of obtaining a sum of 7 = possible number of cases where the sum of 7 appears ÷ total number of outcome

= 6/36 = 1/6

Probability of not obtaining a sum of 7 = 1 - Probability of obtaining a sum of 7

= 1 - 1/6

= 5/6

Expected Value: (1/6)10 + (5/6)(-2) = (10-10)/6 = 0

So the answer is come out even