Find all solutions of the given equation. (enter your answers as a comma-separated list. let k be any integer. round terms to two decimal places where appropriate.) cos θ + 1 = 0

Answer:

The Answer is C!! (With two L's pointing right)

Step-by-step explanation:

Answer:

Give the other person brainliest they deserve it!

Step-by-step explanation:

Answer:

up

Step-by-step explanation:

Since this is written as y = function of x, it will open up or down

y = 3x^2 -5x -10

The coefficient of x^2 is positive so it will open up

Answer:

There are only two parameters needed to define any normal distribution curve.

Step-by-step explanation:

The two parameters are mean and standard deviation. This will allow us to see how far from the mean the curve exists and where the center is.

Answer:

q = -25[tex]10 +5 = \pm \sqrt{5^2-4*2*q} \\ 225 = 25-8q \\\\8q = -200 \rightarrow q = -\frac {200}8 = -25[/tex]

Step-by-step explanation:

Grab the generic solution of the equation. [tex]\frac 52 = \frac{-5 \pm \sqrt{5^2-4*2*q}}{2*2}[/tex]. Let's isolate the radical, and square both sides.[tex]10 +5 = \pm \sqrt{5^2-4*2*q} \\ 225 = 25-8q \\\\8q = -200 \rightarrow q = -\frac {200}8 = -25[/tex]

Answer:

since we know that x1=2.5

we can just just use vieta's theorem

x1+x2=-b/a

x1*x2=c/a

Answer:

$83.75

Step-by-step explanation:

To find the future value, we first need to define our variables.

P = 187.45 x 0.10 = 18.745

r = 5% or 0.05

t = 30 years

n = 12

Now we can use the formula:

[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]

[tex]A=18.745(1+\dfrac{0.05}{12})^{12(30)}[/tex]

[tex]A=18.745(1+\dfrac{0.05}{12})^{360}[/tex]

[tex]A=83.75[/tex]

So the future value after 30 years is $83.75.

The  future value of the 10% savings from earnings of $187.45 is $83.75.

Principal= 187.45 x 0.10 = 18.745

rate = 5%

time = 30 years

n = 12

Hence:

Future value=18.745 (1+0.05/12)^30×12

Future value=18.745 (1.05/12)^360

Future value=$83.75

Inconclusion the  future value of the 10% savings from earnings of $187.45 is $83.75.

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Answer:

45, 60, 75

Step-by-step explanation:

The ratio of the angles are 6:8:10

Multiply by x to get the angle measures

6x, 8x,10x

We know the sum of the angles is 180 for a triangle

6x+8x+10x = 180

Combine like terms

24x = 180

Divide each side by 24

24x/24 = 180/24

x =7.5

Each angle is

6x = 6(7.5) =45

8x = 8(7.5) =60

10x = 10*7.5 = 75

The measures of the angles of the given triangle are 54 degrees, 72 degrees, and 90 degrees.

To find the measures of the angles of a triangle whose angles have measures in the ratio 6:8:10, we can use the fact that the sum of the angles in a triangle is always 180 degrees. Since the ratio of the angles is 6:8:10, we can set up the equation 6x + 8x + 10x = 180, where x is a common factor. Solving this equation, we find that x = 9. Therefore, the measures of the angles are 6x = 54 degrees, 8x = 72 degrees, and 10x = 90 degrees.

To find the cost of each box, we solve an equation: 12x = 84. To find the amount Anne donates to each charity, we set up an inequality: y ≥ 120/4.

To solve the word problems, we can use equations or inequalities depending on the situation.

Question 3:

We are given that Max sold 12 boxes and earned $84. Let's assume the cost of each box is x dollars. The equation representing the given information is 12x = 84. To find the value of x, we divide both sides of the equation by 12: x = 84 / 12 = 7 dollars. Therefore, each box costs $7.

Question 4:

Anne donates at least $120 per month and divides her donations equally among 4 favorite charities. Let's assume the amount Anne donates to each charity is y dollars. The inequality representing the given information is y ≥ 120/4 = 30. Therefore, Anne donates at least $30 to each of her favorite charities per month.

Answer:

B 40 yards for $45 is the best deal at $1.13 per yard

Step-by-step explanation:

Break it down by finding the unit price per yard (divide cost by yardage)

A. 30/20 = $1.50 per yard

B. 45/40 = $1.125 per yard

C. 70/50 = $1.40 per yard

D. 85/65 = $1.30 per yard

Answer:a

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

the answer is 25. hope this helps

Answer:

9 cups

Step-by-step explanation:

12-3 = 9

Answer:

Bryan needs 9 cups more.

Step-by-step explanation:

Bryan is cooking cupcakes for a bake sale at his club. The recipe calls for 12 cups of flour.

Number of cups of flour, he already has = 3

Lets say he needs x cups more.

So, equation forms = [tex]12=x+3[/tex]

=> [tex]12-3=x[/tex]

x = 9

Hence, Bryan needs 9 cups more.

The answer is 8^8 * /8

Answer:

54

Step-by-step explanation:

A circle is 360 degrees

We divide it into 20 parts

360/20 = 18

Each part is 18 degrees

We want the angle means of 3 of the parts

3*18 = 54

Three of the parts measures 54 degrees

Subtract the mean from Jake's score:

520 - 500 = 20

Divide by the standard deviation:

20/60 = 0.33

Jake scored 0.33 standard deviation above the mean.

From the Z-table, 0.33 = 0.6293 = 62.93% of students scored below Jake.

Round to 63%

Answer:

z score is 0.33

( 0.6293) is the answer the next slot)

and 62.93% is last

Step-by-step explanation:

Answer:

The answer is A. 3 1/3

Step-by-step explanation:

Simplify:

10/3

Then, convert to a mixed fraction:

3 1/3

Hope this helped.

The mathematical expression 5x2/3 = 15/3 x 2/3 = 30/9 = 5 2/3.

Option C is correct.

an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Step 1: Simplify 5x2/3

5x2/3 = (5 x 2)/3

5x2/3 = 10/3

Step 2: Simplify 10/3

10/3 = 3 + 2/3

10/3 = 5 2/3

An expression in math  can also be described as a statement having minimum of two numbers, or variables, or both and an operator connecting them.

Therefore, the correct answer is C.

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Answer: (1,2)

Step-by-step explanation:

You must:

- Multiply the first equation by 3.

- Add both equations.

- Solve for the variable left. In this case will be x.

Then:

[tex]\left \{ {{39x +3y = 45} \atop {-9x - 3y = -15}} \right.\\------\\ 30x=30\\x=1[/tex]

Substitute x=1 into any of the original equtions and solve for y:

[tex]13(1)+y=15\\y=2[/tex]

The solution is: (1,2)

Answer:

The solution of the system of equation is (1 , 2)

Step-by-step explanation:

The system of equation is:

* 13x + y = 15 ⇒ (1)

* -9x - 3y = -15 ⇒ (2)

- By using elimination ⇒ we must make on of the

 two variables in the two equations has the same value

 with different sign

- So we will multiply equation (1) by 3 to eliminate y

∴ 3(13x) + 3(y) = 3(15)

∴ 39x + 3y = 45 ⇒ (3)

- Now add (2) and (3)

∴ 39x + -9x = 45 + -15

∴ 30x = 30 ⇒ ÷ 30 both sides

∴ x = 1

- Substitute the value of x in equation (1) or (2)

- Lets use (1)

∴ 13(1) + y = 15

∴ 13 + y = 15 ⇒ subtract 13 from both sides

∴ y = 15 - 13  

∴ y = 2

∴ The solution of the system of equation is (1 , 2)

T(x) calculates the number of teams and F(x) calculates the entry fees.

To find the total entry fee, you would add the entry fee for each team together, so you need to add T(x) and F(x) together.

The answer would be C. R(x) = 9x +69

Answer:

T(x) calculates the number of teams and F(x) calculates the entry fees.

To find the total entry fee, you would add the entry fee for each team together, so you need to add T(x) and F(x) together.

The answer would be C. R(x) = 9x +69

Answer:

B

Step-by-step explanation:

If an equation of the form [tex]x^2-y^2=a[/tex] goes through a translation T (p,q), the transformed equation has the form  [tex](x-p)^2-(y-q)^2=a[/tex]

Using this, we can write the equation given as:

[tex](x-(-4))^2-(y-2)^2=9\\(x+4)^2-(y-2)^2=9\\x^2+8x+16-y^2+4y-4-9=0\\x^2-y^2+8x+4y+3=0[/tex]

So, B is the right answer.

Answer:

b. [tex]x^2-y^2+8x+4y+3=0[/tex]

Step-by-step explanation:

The given hyperbola has equation [tex]x^2-y^2=9[/tex].

This hyperbola is centered at the origin.

If this hyperbola is translated, so that its center is now at (-4,2), its equation now becomes;

[tex](x+4)^2-(y-2)^2=9[/tex]

We now expand to obtain;

[tex]x^2+8x+16-(y^2-4y+4)=9[/tex]

[tex]\Rightarrow x^2+8x+16-y^2+4y-4-9=0[/tex]

[tex]\Rightarrow x^2-y^2+8x+4y-4-9+16=0[/tex]

The correct choice is B.

[tex]\Rightarrow x^2-y^2+8x+4y+3=0[/tex]

Answer: any number

Step-by-step explanation: 3x+2y=6, 2y=6-3x, we want y by itself, so divide by 2 from both sides, y=3-1.5x, then we plug it into the equation,3x+2(3-1.5)=6, then solve. 3x+6-3x=6, 3x-3x=0,so 6=6, y could be any possible answer

The expression for y in terms of x is y = 3 - (3/2)x the linear equation 3x+2y=6 .

To express y in terms of x using the linear equation 3x + 2y = 6, we need to isolate y on one side of the equation.

Step 1: Move the 3x term to the other side of the equation.

Subtract 3x from both sides:

3x + 2y - 3x = 6 - 3x

2y = 6 - 3x

Step 2: Now, to solve for y, divide both sides by 2:

y = (6 - 3x) / 2

Step 3: We can further simplify the equation:

y = 6/2 - (3x/2)

y = 3 - (3/2)x

So, the expression for y in terms of x is y = 3 - (3/2)x.

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c. 18 is the answer you get

Answer:

1017.87602

Step-by-step explanation:

A = π R squared = π · 18 squared ≈ 1017.87602

Answer:

The frequency = 5/2π

Step-by-step explanation:

* Lets revise some facts about the trigonometry function

- If the function is f(x) = A sin (B x + C) + D  

* A is the amplitude  

- The amplitude is the height from highest to lowest points and  

 divide the answer by 2  

* The period is 2π/B  

- The period is the distance from one peak to the next peak

- Period and Frequency are related where frequency = 1/period

* C is the horizontal shift  

- The horizontal shift is how far the function is shifted to left  

 (C is positive) or to right (C is negative) from the original position.  

* D is the vertical shift  

- The vertical shift is how far the function is shifted vertically up

  (D is positive) or down (D is negative) from the original position.  

* Lets solve the problem

∵ f(x) = 3 cos (5x) + 2

∵ f(x) = A sin (B x + C) + D  

∴ A = 3 , B = 5 , C = 0 , D = 2

∵ The period = 2π/B

∴ The period = 2π/5

∵ The frequency = 1/period

∴ The frequency = 1/(2π/5) ⇒ multiply up and down by 5

∴ The frequency = 5/2π

The frequency of the function f(x) = 3cos(5x) + 2 is 5/2π, represented as 5 cycles per unit interval on the x-axis.

The frequency of the function f(x) = 3cos(5x) + 2 is determined by the coefficient of x inside the cosine function. In this case, the coefficient is 5, which represents 5 cycles per unit interval on the x-axis. The standard form for a cosine function's frequency is given when the function is written as cos(2πft), with f representing the frequency. To match this form, we can rewrite the function as cos(2π(5/2π)x), making it clear that f = 5/2π cycles per unit interval, which is the frequency.

In simplest fraction form, the frequency of the function f(x) is 5/2π.

Answer:

[tex]\frac{c}{a+b}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = A(0, 0) and (x₂, y₂ ) = C(a +b, c)

m = [tex]\frac{c-0}{a+b-0}[/tex] = [tex]\frac{c}{a+b}[/tex]

Answer:

[tex]\large\boxed{\dfrac{c}{a+b}}[/tex]

Step-by-step explanation:

The formula of a slope:

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

We have the points A(0, 0) and C(a + b, c). Substitute:

[tex]m=\dfrac{c-0}{a+b-0}=\dfrac{c}{a+b}[/tex]

Answer:

A

Step-by-step explanation:

We can use trigonometric ratios to solve this.

With respect to the angle given, the building's height is the side that is "opposite".

Also, the given length of 63 feet is the "adjacent" side with respect to the angle given.

Which trigonometric ratio relates "opposite to adjacent" side?

It is TAN.

Now, let's write the ratio and solve for the height of the building (let h be height of the building). We have:

[tex]Tan(\theta)=\frac{Opposite}{Adjacent}\\Tan(59)=\frac{h}{63}\\h=Tan(59)*63\\h=104.85[/tex]

Rounding this, we get h = 105 feet, correct answer A

Answer:

The height of the building = 105 feet ⇒ answer (A)

Step-by-step explanation:

* To find the height of the building use the trigonometry functions

- Lets consider the height (h) of the building as a side of right angle triangle

 and the other side is the distance from the bottom of the building

- Now we have right angle triangle one of its acute angle is 59°

- The length of one leg of the right angle = 63 feet

- We have the adjacent side of angle 59°

- we need to find the opposite side of angle (h)

∴ Lets use the function tan to find h

∵ tanФ = opposite to Ф/adjacent to Ф

∵ Ф = 59°

∵ The length of the side adjacent to Ф = 63 feet

∴ tan59 = h/63 ⇒ by using cross multiplication

∴ h = 63 × tan 59 = 104.849 ≅ 105 feet

∴ The height of the building = 105 feet answer (A)

Answer: 17.1

Step-by-step explanation:

If she averages 3.42 kills per game, she should average that for each of the 5 games. You need to multiply 3.42 times 5 for the total of 5 games.

3.42 x 5 = 17,1

Bev Oden, achieve approximately 17 kills in a 5 game match .

To predict the number of kills Bev Oden will achieve in a 5 game match, we can use her average kills per game to make the calculation.

Given that Bev Oden averages 3.42 kills per game, we simply multiply her average by the number of games in the match.

Step-by-step calculation:

Therefore, Bev Oden is predicted to achieve approximately 17 kills in a 5 game match.

Answer:

P is greater than 4

Step-by-step explanation:

so P could be anything from 5 to infinity

Final answer:

The inequality p > 4 is satisfied by any real number greater than 4. The solution is represented visually by shading the number line to the right of the open circle at 4.

Explanation:

The solution to the inequality p > 4 is all real numbers greater than 4. In other words, for any number p that is greater than 4, the inequality will hold true.

To visualize this solution on a number line, you would draw an open circle at 4 and shade all numbers to the right of 4, indicating that all those numbers are part of the solution set.

This is a basic concept in algebra, focusing on understanding and solving inequalities. The solution does not include the number 4 itself because the inequality is strictly greater than (not greater than or equal to).

Answer:

Step-by-step explanation:

Answer:

If you do not pay the entire credit card bill, you are charged an interest on the unpaid part.

Step-by-step explanation:

If you do not pay the entire credit card bill, you are charged an interest on the unpaid part.

When you do not pay the entire bill or pay less than minimum or minimum amount, an interest is charged on the remaining balance.

The amount increases each month as the interest is added with the unpaid amount.

Answer:

[tex]\log_{25}(\frac{1}{5})=-\frac{1}{2}[/tex]

Step-by-step explanation:

Let

[tex]\log_{25}(\frac{1}{5})=x[/tex]

We rewrite as an exponential equation to obtain;

[tex]\frac{1}{5}=25^x[/tex]

We rewrite both sides of the equation as an index number to base 5.

[tex]5^{-1}=5^{2x}[/tex]

Since the bases are the same, we equate the exponents to obtain;

[tex]-1=2x[/tex]

Divide both sides by 2;

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

Answer:

55 centimeters

Step-by-step explanation:

Ok buddy, just say like 55 centimeters, and say you used a measuring tape.