Is -4 – -8 positive or negative?

Answer: A 2(2cos^2(x) - 1)^2 - 1

Step-by-step explanation: E 2020

The expression equivalent to cos(4x) is 2cos²(2x) - 1.

Out of the options provided, the correct choice is 2cos²(2x) - 1.

The expression equivalent to cos(4x) can be found using trigonometric identities and formulas. One such identity is the double angle identity for cosine:

cos(2θ) = 2cos²(θ) - 1.

We can apply this identity to the expression cos(4x) by considering it as cos(2(2x)).

Using the double angle identity, we have:

cos(4x) = cos(2(2x)) = 2cos²(2x) - 1.

Therefore, the expression equivalent to cos(4x) is 2cos²(2x) - 1.

Out of the options provided, the correct choice is:

O 2cos²(2x) - 1.

By substituting 2x for θ in the double angle identity, we obtain the equivalent expression for cos(4x).

To learn more about trigonometric identities;

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Answer:

The slope is [tex]\frac{3}{2}[/tex]

The y-intercept is 9

Step-by-step explanation:

The form of the equation that passes through two points (x1, y1) and (x2, y2) is y = m x + b, where

Let us solve the question:

Choose any two-point from the table

∵ The line passes through the points (2, 12) and (4, 15)

∴ x1 = 2 and x2 = 4

∴ y1 = 12 and y2 = 15

→ Use the rule of m to find it

∵ [tex]m=\frac{15-12}{4-2}=\frac{3}{2}[/tex]

∴ m = [tex]\frac{3}{2}[/tex]

∴ The slope is [tex]\frac{3}{2}[/tex]

→ Substitute its value in the form of the equation above

∴ y = [tex]\frac{3}{2}[/tex] x + b

→ To find b substitute x and y by x1 and y1

∴ 12 = [tex]\frac{3}{2}[/tex] (2) + b

∴ 12 = 3 + b

→ Subtract 3 from both sides

∴ 12 -3 = 3 - 3 + b

∴ 9 = b

∴ The y-intercept is 9

Answer:

It is the MEAN

Step-by-step explanation:

Mean, median and mode given in the question are all used to measure central tendency of a given data. From the sets of data given, and from the values of the mean, median and mode (8.8, 8.85 and 8.9 respectively) it can be summarized that these values points the center of the sets of data trying to estimate the average.

MEAN is the statistic that reflects a typical score because when we look at the data (8.2, 8.7, 8.8, 8.8, 8.9, 8.9, 8.9, 9.2), it easily gives us the average score. Since mean = addition of the data value / the number of the data, it gives us Kathleen average score since it takes all the  judges scores into consideration giving us the typical score. Unlike mode that only use most occured data meaning it doen't use all the data and as such may not show the true average of the scores. Also, mode is not consistent when it comes to small number of data especially if no score occur most or we have more than one mode. It is not median because of the small number of scores (data).

Answer:

W = 7.25H - 10

Answer:

$4 for 1 pound of rice

Step-by-step explanation:

8 ÷ 2 = 4

2 ÷ 2 = 1

Hope this helps!

Answer:

12°

Step-by-step explanation:

Step 1:

7z + 6° = 90°        Def. of Right Angle

Step 2:

7z = 84°       Subtract 6° on both sides

Step 3:

z = 84° ÷ 7      Divide

Answer:

z = 12°

Hope This Helps :)

Answer:

true because you combine like terms

Answer:

True.

Step-by-step explanation:

The two terms share the same variable (as well as the same amount of that variable), that being y. Combine the coefficients:

7y + 8y = (7 + 8)y = 15y

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Answer: the answer is -6

use symbolab

Answer:

Check description

Step-by-step explanation:

First: work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100. If your answer is a negative number, then this is a percentage decrease.

Answer:

$5.50

Step-by-step explanation:

Answer:

The slope is -1/5 and the y intercept is 12

Step-by-step explanation:

Y=-1/5x+12

This is in the form

y=mx+b where m is the slope and b is the y intercept

The slope is -1/5 and the y intercept is 12

Answer:

-1/5 = slope

12 = y-intercept

Step-by-step explanation:

y = mx + b

m is always equal to the slope

b is equal to the y-intercept

which makes -1/5 the slope

and makes 12 the y-intercept

Number of M&M bags with Danielle = 24

Number of jelly beans with her = 36

Number of snickers with her = 48

To find the highest number of candies each friend of Danielle will get, in a way in which all of them have the same number of candies , we have to find the HCF (highest common factor) of all the varieties of candy with Danielle.

Factors of 24 = 1,2,3,4,6,8,12,24

Factors of 36 = 1,2,3,4,6,9,12,18,36

Factors of 48 = 1,2,3,4,6,8,12,16,24,48

Highest common factor = 12

Which means the highest number of friends Danille can invite is 12 .

Number of M&M bags each friend will get :-

[tex] = 24 \div 12[/tex]

[tex]\color{hotpink} = 2 [/tex]

Which means each friend will get 2 M&M bags .

Number of jelly beans each friend of hers will get :-

[tex] = 36 \div 12[/tex]

[tex]\color{hotpink} = 3[/tex]

Which means each friend of Danielle will get 3 jelly beans.

Number of snickers each friend of hers will get :-

[tex] = 48 \div 12[/tex]

[tex] \color{hotpink}= 4[/tex]

Which means each friend of hers will get 4 snickers .

Therefore , the highest number of friends Danielle can invite = 12 and each of her friends will get 2 M&M bags , 3 jelly beans and 4 snickers .

Answer:

34

Step-by-step explanation:

Answer: 1/5

Step-by-step explanation:

10. 3

3. 2

Three divided by three is one

Ten divided by two is five

Answer:

5

Step-by-step explanation:

10/3 divided by 2/3

Using the rule of dividing fractions, you flip one side and multiple.

10/3 multiplied by 3/2

Think: Can you simplify from across?

10 and 2, 3 and 3 can simplify from across

5/1  multiplied by 1/1 = 5

If you have any questions I would be glad to help.

x ^ 2–2x + 1

by splitting this equation

x ^ 2 - x -x + 1

there are a two terms x ^ 2 - x and - x + 1

we take x is common from first and -1 is common from second

x ( x - 1 ) and -1 ( x-1 )

the quadratic roots are (x-1) and (x-1)

x - 1 = 0

x = 1 in both

Therefore , the quadratic roots are 1 , 1 .

Answer:

c. 3/a

Step-by-step explanation:

5ax + 3ax = 4xa+ 12, combine like terms

8ax = 4ax + 12, minus 4ax on both sides

4ax = 12, divide 4a on both sides

youll be left with x = 3/a

Answer:

Step-by-step explanation:

p(x) = 8x^2 is an increasing exponential curbed graph which starts from quadrant 2 , passes through the point (0, 8)  on the y axis and rises steeply to the right.

g(x) = x^2 is a parabola ( shaped like a U) which has a minimum value at (0, 0).

and opens upwards either side of the y-axis. This type of curve is called a parabola.

Answer:

3

Step-by-step explanation:

because n=1 and you plug it in you get 3

Answer:

a

Step-by-step explanation:

thats what i put and got it right

Answer:

x = 12

Step-by-step explanation:

Absolute value is the distance between the number and 0. Since distance cannot be negative, the absolute value of something is always going to be positive. In this equation | x | = 12 since 12 is already a postive number and the distance between 12 and 0 is 12, this means that x is equal to 12.

Hope This Helps :)

Answer:

53lbs

Step-by-step explanation:

if he bought three bags of gravel that are 20 lbs. each then he would have 60 lbs. of gravel. In the end he only had 7 pounds left so you would subtract 7 from 60 and get 53 pounds.

7+x=60 or 60-7=53

i hope this helped!

Answer:

$0.27 for 1 ounce

Step-by-step explanation:

Hope this helps!!!

Answer:

equation: y=-7.5x+15 and Raul must ride at a speed of 5 mi/hr

Step-by-step explanation:

[tex]\frac{y2-y1}{x2-x1}[/tex] to find out the slope. [tex]\frac{6-11.25}{1.2-0.5}[/tex]=[tex]\frac{-5.25}{0.7} = -7.5[/tex]

Then you fill x and y to find out the y intercept

[tex]11.25=-7.5*0.5+b[/tex]

[tex]11.25=-3.75+b\\11.25+3.75=15\\[/tex]

Y intercept= 15

then you put it in the equation:

y=-7.5x+15

Since Raul lives 5 miles closer and Luis is 5 miles away, he needs to go at 5 miles an hour to get to the spot.

That is 5 miles/hour

The distance and time, as presented in this question are illustrations of linear equations.

From the diagram, we have:

[tex](x_1,y_1) = (0.5,11.25)[/tex]

[tex](x_2,y_2) = (1.2,6)[/tex]

Start by calculating the slope (m)

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

So, we have:

[tex]m = \frac{6 - 11.25}{1.2 - 0.5}[/tex]

[tex]m = \frac{-5.25}{0.7}[/tex]

[tex]m = -7.5[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives

[tex]y = -7.5(x - 0.5) + 11.25[/tex]

[tex]y = -7.5x + 3.75 + 11.25[/tex]

[tex]y = -7.5x + 15[/tex]

Calculate distance, when [tex]x = 5[/tex]

We have:

[tex]y = -7.5 \times 5 + 15[/tex]

[tex]y = -22.5[/tex]

The speed (s) is then calculated as:

[tex]s = \frac{22.5}{5}[/tex]

[tex]s = 4.5[/tex]

Hence, he must plan to ride at 4.5 miles per hour

Read more about linear equations at:

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Answer:

Tower 1=1550 gal after 5 min

Tower2=470 gal after 5 minutes

Step-by-step explanation:

Answer:

Step-by-step explanation:

After 5 minutes, the amount of water that has flowed is ...

(20 gal/min)(5 min) = 100 gal

That amount has flowed out of Tower #1, so it now has ...

1650 -100 = 1550 . . . gallons in Tower #1

That amount has flowed into Tower #2, so it now has ...

570 +100 = 670 . . . gallons in Tower #2

Answer:

145

Step-by-step explanation:

180-137=43

43+102=145

Answer The answer is 145 because, as you see you need a 180 degree angle, so you have 137 and you need to make those two angles 180 so 180-137=43 so then you got 43+102 so that's 145 then you have that other angle so that'll be 35, so the ? mark will be 145 since that 180-35

Step-by-step explanation:

Answer:

18 pink to 12 white......18/12 reduces to 3/2......

Step-by-step explanation:

Answer:

The answer is 3/2 hope it helps

Step-by-step explanation:

Answer:

17

thats the answer