The table shows the derivation of tan(2x). Select the correct reason for each step.
Reason 1 is:
Reason 2 is:
Reason 3 is:

Answer:

debt-to-income ratio= 0.7125

Step-by-step explanation:

Giving the following information:

Monthly expenses= $2,850

Monthly income= $4,000

To calculate the debt-to-income ratio, we need to use the following formula:

debt-to-income ratio= monthly debt payment / gross monthly income

debt-to-income ratio= 2,850/4,000

debt-to-income ratio= 0.7125

As a percentage:

debt-to-income= 0.7125*100

debt-to-income= 71.25%

The debt-to-income ratio is the percentage of your income dedicated to paying your debts.

Answer:

1005 girls

Step-by-step explanation:

From the question we are given ratio of boys to girls as 7 : 29

Total ratio will be 7 + 29 = 36

Total students in the school = 1248 students

Number of girls in the school = 29/36 * 1248

Number of girls in the school = 29 * 35

Number of girls in the school  = 1005

Hence the approximate total number of girls in the school is 1005 girls

Note that the ratio was assumed since we are not given in question

Answer:

Sine

Step-by-step explanation:

Using the Law of Sines, you can solve triangles when given two angles and a side.

Answer:

In the area that she observed, the water level fell 13.64mm over 6.4 years, for an average annual rate of change of: -13.64 ÷ 6.2 = -2.2 mm/ year.

Answer:

The equation of the line is y = 2x - 5 ⇒ D

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

Note: To prove that a line passes through a given point, substitute x in the equation of the line by the x-coordinate of the point and solve to find y, if y equals the y-coordinate of the point, then the line passes through it

∵ The slope of the line is 2

∵ The line passes through the point (3, 1)

→ Find at first which equation has slope 2, then check if the line passes

  through the point or not using the note above

A.

∵ y = 2x + 5

→ By comparing it with the form of the equation above

∴ m = 2

∴ The line has the same slope

→ Substitute x by 3 to find y

∵ y = 2(3) + 5 = 6 + 5 = 11

∵ y-coordinate of the point = 1

∴ The line does not pass through the point

B.

∵ y = 2x + 1

→ By comparing it with the form of the equation above

∴ m = 2

∴ The line has the same slope

→ Substitute x by 3 to find y

∵ y = 2(3) + 1 = 6 + 1 = 7

∵ y-coordinate of the point = 1

∴ The line does not pass through the point

C.

∵ y = 2x - 1

→ By comparing it with the form of the equation above

∴ m = 2

∴ The line has the same slope

→ Substitute x by 3 to find y

∵ y = 2(3) - 1 = 6 - 1 = 5

∵ y-coordinate of the point = 1

∴ The line does not pass through the point

D.

∵ y = 2x - 5

→ By comparing it with the form of the equation above

∴ m = 2

∴ The line has the same slope

→ Substitute x by 3 to find y

∵ y = 2(3) - 5 = 6 - 5 = 1

∵ y-coordinate of the point = 1

∴ The line passes through the point

∴ The equation of the line is y = 2x - 5

Answer:

(f + g)(x) = I2x + 1I + 1 ⇒ C

Step-by-step explanation:

Let us solve the question

∵ f(x) = I2x + 1I + 3

∵ g(x) = -2

→ We need to find (f + g)(x), which means add the two functions

∵ (f + g)(x) = f(x) + g(x)

→ Substitute the right side of each function on the right side

∴ (f + g)(x) = I2x + 1I + 3 + (-2)

→ Remember (+)(-) = (-)

∴ (f + g)(x) = I2x + 1I + 3 - 2

→ Add the like terms in the right side

∵ (f + g)(x) = I2x + 1I + (3 - 2)

∴ (f + g)(x) = I2x + 1I + 1

Answer:

i just need  more points so sorry im not helping

Step-by-step explanation:

im just a blank bc it doesnt let me say it seventh grader

Answer: 12

Step-by-step explanation: 42/7 = 6 and u get 2 free passes so 6 x 2 = 12

Answer:

56 feet

Step-by-step explanation:

The width and length of a rectangular flower bed are in the ratio 5:7. The width is 40 feet. What is the length?

From the above question, our ratio is given as:

Width : Length

5 : 7

Width = 40 feet ,

To solve for the Length, let us represent the length as x

Width/Length

= 5/7 = 40/x

Cross Multiply

5 × x = 7 × 40

x = 7 × 40/5

x = 56 feet

Hence: The length of the rectangular flower bed = 56 feet

Answer:

7

Step-by-step explanation:

First expand 2/3 (9x-6) = 4 (x+2)+ 2 By doing 2/3 (9x - 6)/3

Which gives you 2/3 (9x - 6)

Then you factor it 2/3 (9x - 6) 6 (3x - 2) get 6 (3x - 2) / 3

then you divide 6/3 with 2

Getting 2 (3x - 2)

The use the distributive law

2 x 3x - 2 x 2

simplify the equation

6x - 4

expand 4 (x +2) + 2:   4x + 10

which then equals 6x-4=4x+10

add 4 to both sides

6x-4+4=4x+10+4

simplify

6x=4x+14

subtract 4x from both sides

simplify again

2x=14

divide both sides by 2

2x/2 = 14/2

simplify one last time and get the answer

x=7

Answer:

The first one goes in between 1 and 2 because its a half and the other one goes on 2 because its 2.

Hope this helped, 0Drink0Milk0

Answer: 62.5% water

100 * 50 / (50 + 30) = 100 times, then you do 50/80 and you get 62.5.

Answer:

62.5% or 62.5

Step-by-step explanation:

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Answer: I think it’s d but I’m not sure

Answer:

Step-by-step explanation:

Equation of a line has been given as,

y = -2x + 5

Input-output points lying on the the line are,

x          0          1            2           3

y          5          3            1          -1

Now we can plot these points on the graph and join them to get the line representing the given equation.

(As graph attached)

Answer:

D

Step-by-step explanation:

Answer:

D, No correlation

Step-by-step explanation:

9514 1404 393

Answer:

  $400

Step-by-step explanation:

If the price after taking 25% off is $300, then $300 is 75% of the original price.

  $300 = 0.75p

  $300/0.75 = p = $400

The original price was $400.

_____

Check

0.25 × $400 = $100

$400 -100 = $300 . . . . the price after taking 25% off

Answer:

D. 2787.64 yd^3

Step-by-step explanation:

This is the formula for the volume of a cone:

[tex]V=\frac{1}{3} \pi r^2h[/tex]

The height of the cone is 22 yd. The radius of the base of the cone is not given but we can use the diameter to calculate it since the radius is equal to half of the diameter.

[tex]r=\frac{1}{2}d\\r=\frac{1}{2}(22)\\r=11yd[/tex]

Therefore, the radius of the base of the cone is 11 yd.

Now, we plug our values into the formula and solve.

[tex]V=\frac{1}{3} \pi r^2h\\V=\frac{1}{3} \pi (11^2)(22)\\V=\frac{1}{3} \pi (121)(22)\\V=\frac{1}{3} \pi (2662)\\V=\frac{1}{3} \pi (2662)\\V=2787.64 yd^3[/tex]

Therefore, the volume of the cone is equal to 2787.64 yd^3.

I hope this helps!

Answer:

B

Step-by-step explanation:

there are 7 blocks in the whole

the green portion is 3/7

1/2 times 6/7 is equal to 3/7

the answer is B

Answer:

You didn’t explain what we had to do....

Step-by-step explanation:

I’m not really sure...I’m sorry

Answer:

Step-by-step explanation:

The blank should be filled in with "Definition of Angle Bisector" because you're told that UW is a bisector of angles VUX and VWX which means that it splits those angles exactly in half.

Answer:

-8/5

Step-by-step explanation:

y values minus each other over x values minus each other

Answer:

-8/5 or -1.6

Step-by-step explanation:

the formula for slop is y2-y1/x2-x1

y2 is -2

y1 is 6

x2 is 1

x1 is -4

(-2-6)/(1+4)

(-8)/(5)

the slope is -8/5 or -1.6

(just in case you need to write out the work)

Answer:

The strategy is to find the x and y intercept of the given equation

Step-by-step explanation:

4x+3y≥12

In order to determine where the boundary line, we need to first get the x and y-intercept of the inequality expression given;

x-intercept occurs at where y = 0

when y  = 0

4x + 3(0)≥12

4x ≥12

x ≥12/4

x≥ 3

Also y intercept occurs at where x = 0

4x+3y≥12

4(0)+ 3y ≥12

3y≥12

y≥12/3

y≥4

Hence the intercept of the line is at (3, 4). A thick line will pass through this point and the upper part of the graph will be shaded. The strategy is to find the x and y intercept of the given equation

Answer:

this is the correct solution for your question

Answer:

The value of k is -4.

Step-by-step explanation:

In order to find the value of k, you have to substitite x = -1/2 into the equation :

[tex]2 {x}^{2} - 7x + k = 0[/tex]

[tex]let \: x = - \frac{1}{2} [/tex]

[tex]2 {( - \frac{1}{2} )}^{2} - 7( - \frac{1}{2} ) + k = 0[/tex]

[tex]2( \frac{1}{4} ) + \frac{7}{2} + k = 0[/tex]

[tex] \frac{1}{2} + \frac{7}{2} + k = 0[/tex]

[tex]4 + k = 0[/tex]

[tex]k = - 4[/tex]

Answer:

Number 2

Step-by-step explanation:

I can explain if needed to, since you said asap ill tell u the answer rq

Answer:

x=18

Step-by-step explanation:

Answer:

It might help u , plz Brain-list it

Step-by-step explanation:

The option is not given but still its clear from the graph

That its slope intercept form will be ,

X=0  (the point where it intersect x axis) and Y=0  (the point where it intersect y axis)  

Answer:

y = 8x

Step-by-step explanation:

Hope this helps

(From k12)

Answer:

13857552359

Step-by-step explanation:

13857552359.3

3 is less than 5, so round down to 13857552359

Answer:

what is given: 13857552359.3

Ones: 13857552359

Tens: 13857552360

Hundreds: 13857552400

Thousands: 13857552000

Millions: 13858000000

Hint: Each of the numbers are different

P.S I put all of them because you didnt say which whole number you wanted

Hope this helped!

Answer:

(2,-4)

Step-by-step explanation:

Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k).