HELP PLEASE ALGEBRA 1

Answer:

See Below.

Step-by-step explanation:

We want to prove the trigonometric identity:

[tex]\displaystyle \frac{\sec^2(\theta)-1}{\sin(\theta)}=\frac{\sin(\theta)}{1-\sin^2(\theta)}[/tex]

To start, let's simplify the right side. Recall the Pythagorean Identity:

[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]

Therefore:

[tex]\cos^2(\theta)=1-\sin^2(\theta)[/tex]

Substitute:

[tex]\displaystyle \frac{\sin(\theta)}{1-\sin^2(\theta)}=\frac{\sin(\theta)}{\cos^2(\theta)}[/tex]

Split:

[tex]\displaystyle =\frac{\sin(\theta)}{\cos(\theta)}\left(\frac{1}{\cos(\theta)}\right)=\tan(\theta)\sec(\theta)[/tex]

Therefore, our equation becomes:

[tex]\displaystyle \frac{\sec^2(\theta)-1}{\sin(\theta)}=\tan(\theta)\sec(\theta)[/tex]

From the Pythagorean Identity, we can divide both sides by cos²(θ). This yields:

[tex]\displaystyle \tan^2(\theta)+1=\sec^2(\theta)[/tex]

So:

[tex]\tan^2(\theta)=\sec^2(\theta)-1[/tex]

Substitute:

[tex]\displaystyle \frac{\tan^2(\theta)}{\sin(\theta)}=\tan(\theta)\sec(\theta)[/tex]

Rewrite:

[tex]\displaystyle (\tan(\theta))^2\left(\frac{1}{\sin(\theta)}\right)=\tan(\theta)\sec(\theta)[/tex]

Recall that tan(θ) = sin(θ)/cos(θ). So:

[tex]\displaystyle \frac{\sin^2(\theta)}{\cos^2(\theta)}\left(\frac{1}{\sin(\theta)}\right)=\tan(\theta)\sec(\theta)[/tex]

Simplify:

[tex]\displaystyle \frac{\sin(\theta)}{\cos^2(\theta)}=\tan(\theta)\sec(\theta)[/tex]

Simplify:

[tex]\tan(\theta)\sec(\theta)=\tan(\theta)\sec(\theta)}[/tex]

Hence proven.  

Answer:

Not sure of what your asking....

Step-by-step explanation:

equivalent to: 2(4x+5y)

Answer:

2(4x+5y)

Step-by-step explanation:

the sum of 8x+10y is 8x+10y

i guess you could make it even more complicated if you want

ln(8x)=ln(1/(10y))

ln(8x/(1/(10y)))

or you can just keep it simple

8x+10y = 2(4x+5y)

Answer:

The answer is A

Step-by-step explanation:

I got it wrong and it showed that it’s A

Answer:

1.07913403584

Step-by-step explanation:

hope it helps you!!

branliest plssssss

Answer:

641,894,091

Step-by-step explanation:

Answer:

5 feet of wall should be on each side of the painting.

Step-by-step explanation:

Given that a 3 foot wide painting should be centered on 13 foot wide wall, to determine how many feet should be on each side of the painting, the following calculations must be performed:

(13 - 3) / 2 = X

10/2 = X

5 = X

Therefore, 5 feet of wall should be on each side of the painting.

Sorry, I won't understand

Answer:

[tex]24x ^{3} \sqrt{5 - 4x ^{3} } \sqrt{10x} [/tex]

Answer

b

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

whole numbers are higher than 10, nutural numbers are like 1 2 3 4 5 while integers are like fractions

5

Step-by-step explanation:

add the fractions. you have to find the common denominator, 100/150+30/150+15/150= 145 so 5

1/30 of 150=5

The caramel apples that are covered with sprinkles are 5.

Arithmetic operation is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots.

Now it is given that,

Olivia has 150 caramel apples.

Each caramel apple is covered with one topping.

• 2/3 of the caramel apples are covered with peanuts.

• 1/5 are covered with chocolate chips.

• 1/10 are covered with coconuts.

The rest are covered with sprinkles.

Let 'n' be the number of caramel apples are covered with sprinkles.

Thus,we can write

(2/3)*150 + (1/5)*150 + (1/10)*150 + n = 150

100 + 30 + 15 + n = 150

145 + n = 150

⇒ n = 150 - 145

⇒ n = 5

Thus, the caramel apples that are covered with sprinkles are 5.

To learn more about arithmetic operation :

https://brainly.com/question/13585407

#SPJ2

The complete question is,

Olivia has 150 caramel apples to sell. Each caramel apple is covered with one topping.

• 2/3 of the caramel apples are covered with peanuts.

• 1/5 are covered with chocolate chips.

• 1/10 are covered with coconuts.

The rest are covered with sprinkles.

How many caramel apples are covered with sprinkles?

Answer:

y=-3x

Step-by-step explanation:

use the point slope formula to find the line parallel to -3x-y=1

Answer:

B) y = 3x+4

Step-by-step explanation:

A parallel line should include the same the same slope for it to be parallel

Answer:

1/6

Step-by-step explanation:

1/3 x 1/2 = 1/6

Answer:

Part 1

a. Sum of Squares, Treatment= 61

b. Sum of Squares, Error= 7.5

c. Mean Squares, Treatment = 30.5

d. Mean Squares, Error= 0.5

2. the F value lies in the rejection region > 3.6823

3. The value of the test statistic = 61

4. The p-value is < 0.00001

5. Conclusion

Since p-value < α, H0 is rejected.

6. Between x`2 and x`3

7. Fisher's Least Significant Difference value almost 0.869

8.There is a significant difference between the means

Step-by-step explanation:

Summary of Data

                          Treatments

                       1             2             3                 Total

n                      6             6             6                   18

∑x                   42          57           30                  129

Mean              7            9.5           5                  7.167

∑x2              298         543        152                    993

Sd.D       0.8944     0.5477     0.6325           2.0073

ANOVA Table

Source                                  SS              df                  MS

Between-treatments           61              2                   30.5       F = 61

Error                                     7.5           15                     0.5

Total                                     6             8.5                     17

a. Sum of Squares, Treatment= 61

b. Sum of Squares, Error= 7.5

c. Mean Squares, Treatment = 30.5

d. Mean Squares, Error= 0.5

2. Using alpha= 0.05 the F value lies in the rejection region i.e F > 3.6823

x1` -x2`= 7-9.5= -2.5 Not significant as difference <3.68

x1`- x3`= 7-5= 2 Not significant as difference <3.68

x2` -x3`= 9.5-5= 4.5 Significant as difference > 3.68

3. The value of the F test statistic = 61

4. The p-value is < 0.00001

5. Conclusion

Since p-value < α, H0 is rejected.

6. Using alpha= .05, differences occurs between x2` and x3` as their difference is greater than 3.68

7. Fisher's Least Significant Difference value almost 0.869

Least Significant Difference= t( 0.025,15) √2s²/r s²= 0.50 r= 6 =n1=n2=n3

Least Significant Difference= 2.13 √ 2*0.50/ 6

=0.869

8.There is a significant difference between the means

x1` -x2`= 7-9.5= -2.5 Significant as difference > Least Significant Difference

x1`- x3`= 7-5= 2 Significant as difference > Least Significant Difference

x2` -x3`= 9.5-5= 4.5 Significant as difference > Least Significant Difference

Answer:

625 is the sum of first 49 odd numbers.

Step-by-step explanation:

Add the all odd numbers between 1 - 49.

1+3+5+7+9+11+ 13+ 15+17+ 19+21+23+25+ 27+29+31+33+35+37+39+41+43+45+ 47+ 49 = 625

Answer:

Surface area of cube = 6a²

Side of cube = 5/2

Surface area of cube = 6 (5/2)² = 6 (25/4)

= 37.5 unit²

Step-by-step explanation:

Original price- $250

Discount 20% x   20

                       -----------

                        5000

Equals amount taken off $5000

Subtract original price        -250

                                      ---------------

                 Sale Price          4750

Hope this helps! If this is not the answer please tell me!

Answer:

12

Step-by-step explanation:

Area of a triangle = [tex]A=\frac{bh}{2}[/tex]

Where b = base and h = height

The shown triangle has a base length of 3 cm and a height of 8 cm

Using these dimensions we plug in the values into the formula

[tex]A=\frac{3*8}{2} \\3*8=24\\\frac{24}{2} =12\\A=12[/tex]

Hence, the area of the triangle is 12 square centimeters

Answer:

12 centimeters^2

Step-by-step explanation:

We find the area of a triangle by multiplying the base and width of the triangle before dividing by 2

Why because if u put 2 triangles together you get a rectangle

3*8=24

24/2=12

Answer:

[tex] \frac{4}{5} [/tex]

Answer:

B)  x = 7,  y = 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

you can find the value of 'y' first by connecting the bases with another altitute measuring 4 units

you now have an isosceles triangle where each leg is 4 which makes the hypotenuse equal to 4[tex]\sqrt{2}[/tex]

to find 'x', it is the sum of 3 and 4

Answer:

$1672.5

Step-by-step explanation:

Answer:

[tex]13[/tex]

Step-by-step explanation:

let the unknown number be x

[tex]x + ( - 9) = 4 \\ x - 9 = 4 \\ x = 4 + 9 \\ x = 13[/tex]

hope this helps you.

Can I have the brainliest please?

Have a nice day!

Answer:

-31

Step-by-step explanation:

We are given with a function f(x) = - 4x - 11 , and we need to find f(5) . For which , we just have to put x = 5 in f(x) . So , by putting x = 5 , we have

[tex]{:\implies \quad \sf f(5)=-(4\times 5)-11}[/tex]

[tex]{:\implies \quad \sf f(5)=-20-11}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{f(5)=-31}}}[/tex]

Answer:

Step-by-step explanation:

The formula for calculating the distance between two points is:

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

Substituting the values from the points in the problem gives:

d

=

√

(

4

−

−

4

)

2

+

(

17

−

2

)

2

d

=

√

(

4

+

4

)

2

+

(

17

−

2

)

2

d

=

√

8

2

+

15

2

d

=

√

64

+

225

d

=

√

289

d

=

17

Answer:

I = p× r× t

300×8×4

pinicipal × rate × time

That is the formula

the answer is 300×8×4= 9600

Answer:

Since p-value > ∝, H0 is accepted

Step-by-step explanation:

Calculating gives the following results.

ANOVA Table

Source DF               Sum             Mean      F Statistic P-value

                                 of Square           Square

Groups     6         191.61                      31.935        0.020          0.999

(b/w groups)

Error

(within 14          21736.08                1552.577

groups)                                                                                                    

Total  20          21927.69 1096.385                                          

1. H0 hypothesis

Since p-value > ∝, H0 is accepted.

Hence the averages of all groups considered to be equal.

Or the difference between the averages of all groups is not big enough to reject H0.

2. P-value

P-value equals 0.999. This means that if we would reject H0, the chance of type1 error (rejecting a correct H0) would be too high i.e  (99.99%)

The bigger  p-value  supports H0.

3. The statistics

The test statistic F equals 0.020, which lies in the accepted range: [-∞ : 2.8477]

Answer:

A dot plot is similar to histogram wherein they show the frequency of data. In this kind of plot, instead of bars, dots are stacked on their corresponding bin. The bins here are the number of pets, while the dots are the students. So, the 2 dots above number 3 signifies that, there are two students with three pets. The answer is A.

Step-by-step explanation:

A) First, find the volume of each cube:

V = s³

  = (1/2)³

  = 1/8 ft³

We have a total of 64 cubes, therefore the maximum volume will be:

Vmax = 64 · (1/8) = 8 ft³

B) The volume of a rectangular prism is given by:

V = w × l × h

Therefore any combination of w × l × h = Vmax = 8 will be fine.

Examples:

2 × 2 × 2

4 × 2 × 1

Answer:

c

Step-by-step explanation:

The limit exists because it's continuous since they equal each other

when x approaches zero.

Substitute both expressions with x=0 and both of them will equal 2, so the limit should be 2.

Answer:

18 minutes

Step-by-step explanation:

900/250 is 3.6

3.6 * 5 = 18

Answer:

18 minutes

Step-by-step explanation:

Hi! Okay, let's get started!

Let's find her rate per minute first = 250/50 = 50 words per minute

Now, we need to find the time for 900 words, so we do 900/50, which gives you 18, or 18 minutes!

Hope that helps! :)