prove that :
1/sin^2A -1/tan^2A =1​

Answer:

x≥2.56

Step-by-step explanation:

first we can write the inequality

2+9x≥25

we can now solve this with algebra

9x≥23

x≥2.56

To calculate the total snowfall in January and February, we add the snowfall measurements for both months. The total snowfall for January (8.6 inches) and February (2.8 inches) is 11.4 inches.

The question involves adding the amounts of snowfall for two different months, which is a basic arithmetic operation covered in mathematics. To find the total snowfall in January and February combined, we simply add the snowfall totals for each month.

According to the given information, there were 8.6 inches of snow in January and 2.8 inches in February.

Total snowfall for January and February combined is 8.6 + 2.8 = 11.4 inches.

If we consider the additional provided information, we can infer that since the schools closed and more than three inches of snowfall triggers a closure, it's reasonable to assume that in at least one of these months the snowfall was above three inches.

Answer:

9

Step-by-step explanation:

Answer: 1 and 3

x = –15

x = 30

Step-by-step explanation:

Answer: A and C

Step-by-step explanation:

trust me bro

Answer: 120 bagels

Step-by-step explanation:

If it goes from five dollars to fifty dollars you multiply by ten

You must o the same thing to the amount of bagels to get the answer

5 times 10 is 50

12 times 10 is 120

Answer:

120

Step-by-step explanation:

12-5

24-10

36-15

48-20

60-25

72-30

84-35

96-40

108-45

120-50

The solution for given equations [tex]-7x+2y=5[/tex] and [tex]3x-5y=-5[/tex] are x = -0.517 and y = 0.6896.

Step-by-step explanation:

The given is,

                            [tex]-7x+2y=5[/tex]..........................(1)

                              [tex]3x-5y=-5[/tex]........................(2)

Step:1

         Equation (1) is multiplied by 5    ( Eqn(1) × 5)

                        [tex]-35x+10y=25[/tex].........................(3)

         Equation (2) is multiplied by -2  ( Eqn (2) × -2 )

                          [tex]-6x+10y=10[/tex].........................(4)

Step:2

         Subtract the equation (3) and (4),

                            [tex]-35x+10y=25[/tex]

                              [tex]-6x+10y=10[/tex]

                ( - )

    [tex](-35x+6x)+(10y-10y)=(25-10)[/tex]

                                     [tex]-29x=15[/tex]

                                          [tex]x = - \frac{15}{29}[/tex]

                                          x = -0.517

          From the x value equation (2) becomes,

                     [tex]3(-0.517)-5y=-5[/tex]

                          [tex]-1.551-5y=-5[/tex]

                                       [tex]-5y = (-5+1.551)[/tex]

                                       [tex]-5y= -3.449[/tex]

                                            [tex]y =\frac{3.449}{5}[/tex]

                                            y = 0.6898

Step:3

          Check for solution,

                                [tex]-7x+2y=5[/tex]..........................(1)

    [tex](-7)(-0.517)+(2)(0.6898)=5[/tex]

                        [tex]3.619+1.3796=5[/tex]

                                             5 = 5

Result:

         The solution for given equations [tex]-7x+2y=5[/tex] and [tex]3x-5y=-5[/tex] are x= -0.517 and y = 0.6896.

Answer:

21x³ - 46x² + 59x - 30

Step-by-step explanation:

21x³ - 28x² + 35x - 18x² + 24x - 30

= 21x³ - 46x² + 59x - 30

Step-by-step explanation:

7x ( 3x^2 - 4x + 5) - 6 ( 3x^2 - 4x +5)

21x^3 - 28x^2 + 35x - 18x^2 + 24x - 30

21x^3 - 46x^2 +59x - 30

Answer:

transformation of what

Step-by-step explanation:

Answer:

43.35pi m cubed

Step-by-step explanation:

Volume of a cylinder

= pi r^2 h

Where r = radius

h = height

Given r = 1.7m and

h = 15m

Volume = pi x (1.7)^2 x 15

= pi x 1.7 x 1.7 x 15

Multiply through

Volume = 43.35 pi m cubed

The function is not invertible if you think of it as

[tex]f:\mathbb{R}\to\mathbb{R}[/tex]

because it is not injective: [tex]f(x)=f(-x)[/tex]

So, if we restrict the domain to the positive numbers only:

[tex]f:\mathbb{R^+}\to\mathbb{R}[/tex]

Note that the range is actually [tex][9,\infty)[/tex], so we can be more precise and write

[tex]f:\mathbb{R^+}\to[9,\infty)[/tex]

To find the inverse, we solve the expression for x:

[tex]y=x^2+9 \iff y-9=x^2 \iff x=\pm\sqrt{y-9}[/tex]

But since we restricted to positive values of x, the inverse is

[tex]x=\sqrt{y-9}[/tex]

To find the inverse of the function f(x) = x² + 9, swap x and y and solve for y. The inverse function is f^(-1)(x) = ± √(x-9), with a domain restricted to x ≥ 9.

To find the inverse of the function f(x) = x^²+ 9, we need to switch the roles of x and y and solve for y. The given function is y = x² + 9. Swap x and y to get x = y² + 9. Rearrange this equation to solve for y in terms of x: y² = x - 9. Taking the square root of both sides gives us y = ± √(x-9). Therefore, the inverse function is f^(-1)(x) = ± √(x-9), and the domain is restricted to x ≥ 9.

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Answer:2meters per second

Step-by-step explanation:

Speed=distance/time

Speed=110/55

Speed=2

Answer:

2 meters/ second

Step-by-step explanation:

2×55=110

Answer:

k = 5

Step-by-step explanation:

Step 1:  Cross multiply

k/6 = 15/18

k(18) = 6(15)

18k = 90

Step 2:  Divide both sides by 18

18k / 18 = 90 / 18

k = 5

Answer:  k = 5

Another way to do it is to multiply both sides by 6

k/6 * 6 = 15/18 * 6

k = 90 / 18

k = 5

Answer: 5

Step-by-step explanation: To solve for k in the given proportion, we use the means-extremes property. The product of the extremes, (k)(18), equals the product of the means, (6)(15).

So we have (k)(18) or 18k = (6)(15) or 90.

Now we have the equation 18k = 90.

Dividing both sides by 18, k = 5.

It's a good idea to check the answer in these types of problems so if we plug a 5 back in for k in the original proportion, we have [tex]\frac{(5)}{6}= \frac{15}{18}[/tex] which is a true statement since 15/18 reduces to 5/6.

Answer:15-20 ft

Step-by-step explanation:

If you add 3 to x you have [tex]3+x[/tex]

Subtract this from 1: [tex]1-(3+x)=1-3-x=-2-x[/tex]

Double this: [tex]2(-2-x)=-4-2x[/tex]

The required answer is 4 + 2x.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

The given expression is,

Add 3 to x subtract the result from 1 then double

Convert it to the numerical expression,

Add 3 to x = 3 + x

subtract the result from 1 = 3 + x - 1

⇒ subtract the result from 1 = 2 + x

Now double of result  = 2(2 + x)

⇒ double of result  = 4 + 2x

this is the required solution.

Thus, the required answer is 4 + 2x.

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Since the answer calls for a decimal, we will convert 1/10 into a decimal, which works out to be 0.1. Now, we multiply 0.1 by 0.08, which results in the decimal place moving one position to the left. Therefore, the answer is *0.008.*

Answer:

The original price was $43.50

Step-by-step explanation:

Let

x ----> the original price of a video game

we know that

1) The price of a video game increases by 20%

so

[tex]100\%+20\%=120\%=120/100=1.20[/tex]

The final price is equal to the original price multiplied by 1.20

so

[tex]1.20x[/tex]

2) The price of a video game decreases by 10%

so

[tex]100\%-10\%=90\%=90/100=0.90[/tex]

The final price is equal to the price at this moment multiplied by 0.90

so

[tex]0.90(1.20x)=1.08x[/tex]

we have that

[tex]1.08x=46.98[/tex]

solve for x

[tex]x=46.98/1.08\\x=\$43.50[/tex]

Answer:

See explanation section

Step-by-step explanation:

Requirement A)

According to the graph, whenever Sarah purchased one comic book, she lost $5 from her allowance. Now the allowance remain after purchasing one comic book = ($100 - 5) = $95

Whenever she purchased three comic books, she lost $5 × 3 = $15 from her allowance. Now the allowance remain after purchasing three comic books = ($100 - 15) = $85. In that way, she lost her $50 after purchasing 10 comic books from her allowance. Therefore, the rate of change is $5.

Requirement B)

It represents that she spent $5 on her each comic book. It also represents that her each book decreases her allowance by $5.

Answer:

a) -5

Step-by-step explanation:

a) slope = (90-100)/(2-0) = -5

b) rate of change represents the deduction in amount left when one more book is purchased.. which is the cost of one book

Answer: $24.50

Step-by-step explanation: $3.50 times 7 equals $24.50

Answer:

A. X= -9 hope this helps alot

The requried solution of equation 5x + 8 - 3x = -10 is x = -9. Option A is correct.

We can simplify the equation by combining like terms:

5x + 8 - 3x = -10

2x + 8 = -10

2x = -10 - 8

2x = -18

x = -18/2

x = -9

Therefore, the solution to the equation is x = -9.

Hence, the answer is option (A) x= -9.

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Answer:

It was actually 8

Step-by-step explanation:

I don't actually know why it's 8, I just got it wrong on ixl. So yeah, it's 8

Melissa and her younger sister are 5 meters apart.

In this scenario, Melissa's younger sister is directly to her right and her older brother is 12 meters directly ahead of her. Since her brother and sister are 13 meters apart, we can use the Pythagorean theorem to find the distance between Melissa and her younger sister.

Let's call the distance between Melissa and her younger sister 'x'. We can set up a right triangle with Melissa, her brother, and her sister as the vertices.

Using the Pythagorean theorem, we have:

x^2 + 12^2 = 13^2

Simplifying the equation, we get:

x^2 + 144 = 169

x^2 = 169 - 144

x^2 = 25

Taking the square root of both sides, we find:

x = 5

Therefore, Melissa and her younger sister are 5 meters apart.

Answer:

x^6

Step-by-step explanation:

x^2*x^4=x^(2+4)=x^6

Answer:

22

Step-by-step explanation:

5 1/2 divided by 1/4 is the same thing as times 4

5 1/2 times 4 equals 22 since 5*4 is 20 and 1/2 times 4 is 2

20+2 equals 22

Answer:

960

Step-by-step explanation:

You multiply all of the numbers together to get 960

Answer:

v = 960 (units)^3

Step-by-step explanation:

v = lwh

v = 8 * 12 * 10

v = 960 (units)^3

Answer:

y = 4

Step-by-step explanation:

Use point slope form:  (y - y1) = m(x - x1)

(y - 4) = 0(x - (-7))

y - 4 = 0(x + 7)

y - 4 + 4 = 0 + 4

y = 4

Answer:  y = 4

Answer:

5x= -15(negative)

Step-by-step explanation:

find the value of x (x= -3) add multiply by 5

Answer:

C) 1 : 2

Step-by-step explanation:

We want to find the scale factor of the smaller figure to the larger figure.

The scat factor is given by:

image length: corresponding object length

This time the smaller shape is the image and the bigger shape is the object:

The scale factor is :

6:12

Divide each term of the ratio by 6 to get:

1:2

Step-by-step explanation:

To find perimeter, you need to add all the sides of the shape.

The area of a traingle is 1/2 bh.

You must find the "b" in order to find the perimeter.

Example:

A triangle has an area of 18 cm^2.

Therefore, the triangle has a 6 cm base and 6 cm height.

Then multiply the base by three to get 18 cm. That is your perimeter.

Answer:

(x+y)(x-y)

This is just the difference of squares.

The expression [tex]X^2 - y^2[/tex] can be factored using the difference of squares rule, resulting in the Factoring form [tex](X - y)(X + y)[/tex].

The equation you're asking about, [tex]X^2 - y^2[/tex], is an example of a difference of squares, a key concept in algebra. In general, the formula [tex]a² - b²[/tex] can be factored into [tex](a - b) (a + b)[/tex]. So for the expression [tex]X^2 - y^2[/tex], we can apply this rule to factor it into [tex](X - y)(X + y)[/tex].

Here is a step-by-step explanation:

Identify that the equation is in the form of [tex]a²-b²[/tex], where 'a' is X and 'b' is y

Apply the formula to get [tex](X-y)(X+y)[/tex]

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Answer: -8

Step-by-step explanation:

2(-1) +10

Open the bracket

2 x ( -1) + 10; be mindful of the sign, as negative multiplied by positive equals negative

-2 + 10

-8

I hope this helps.

Answer:

8

Step-by-step explanation:

Use PEMDAS:  Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction

Step 1:  Multiply 2 and -1

2(-1) + 10

-2 + 10

Step 2:  Add -2 and 10

-2 + 10

8

Answer:  8

Answer:

x < -4.5

Step-by-step explanation:

Step 1:  Solve for x

-10x / -10 > 45 / -10

When dividing or multiplying by a negative, the sign flips.

x < -4.5

Answer:  x < -4.5