please i meed help!!! im stuck and cant concentrate​

The Sine Function is y =  4 sin(π /2 x ) + 1

In trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangle.

Given:

Period = 4

Amplitude = 4

Midline: y = 1

y-intercept: (0, 1)

We know that

y = Asin (Bx + C) + D

A = the amplitude = 4

So, B =  2pi / period

         = 2π / 4

         = π /2

and, C = phase shift  

C = 0

Also, D = midline  =  1

So, the sine Function is

y =  4 sin(π /2 x ) + 1

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Answer:

Each avocado costs $2

Step-by-step explanation:

subtract 9 from 25 and get 16

divide 8 by 16 and you have $2

Answer:

Option (3)

Step-by-step explanation:

Given functions are f(x) = 4 - x² and g(x) = 6x

We gave to find the expression for (g - f)(3).

(g - f)(x) = g(x) - f(x)

            = 6x - (4 - x²)

            = 6x - 4 + x²

By substituting x = 3 in this expression,

(g - f)(x) = 6(3) - 4 + (3)²

Therefore, option (3) will be the answer.

The equation of line is y = -4x + 100 and the temperature of the coffee after 10 minutes is given by A = 60°C

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the temperature be represented as y

Let the number of minutes be represented as x

Now , the initial temperature is 100°C

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 0 , 100 )

Let the second point be Q ( 5 , 80 )

Now , the slope of the line between the points is ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 100 - 80 ) / ( 0 - 5 )

Slope m = 20 / -5

Slope m = -4

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 100 = -4 ( x - 0 )

y - 100 = -4x

Adding 100 on both sides of the equation , we get

y = -4x + 100

Now , when x = 10 minutes ,

y = -4 ( 10 ) + 100

y = -40 + 100

y = 60°C

Hence , the equation is solved and temperature after 10 minutes is 60°C

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Answer:

24

Step-by-step explanation:

the answer is 24 I think

Answer:

4k

Step-by-step explanation:

Using the recursive formula with a₁ = k , then

a₂ = 2a₁ = 2k

a₃ = 2a₂ = 2(2k) = 4k

The gas company would charge $154.48 for using 200 hundred cubic feet of natural gas during the month.

What is Algebraic expression ?

An algebraic expression is a mathematical phrase that can include numbers, variables, and mathematical operations, such as addition, subtraction, multiplication, and division.

The equation that represents the gas company's monthly charges in dollars for using x hundred cubic feet of natural gas is:

y = 0.6924x + 16

Where:

x is the number of hundred cubic feet of natural gas used during the month

0.6924 is the cost per hundred cubic feet of natural gas used

16 is the fixed monthly service fee charged by the gas company.

To calculate the monthly charges for a given amount of natural gas used, we can substitute the value of x into this equation and simplify. For example, if x = 200, then:

y = 0.6924(200) + 16

y = 138.48 + 16

y = 154.48

Therefore, the gas company would charge $154.48 for using 200 hundred cubic feet of natural gas during the month.

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By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.

The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 

This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born. 

According to the question:

Given, Hypotenuse(h) = 29 inches

           Base(b) = 40/2 = 20 inches

Using Pythagoras theorem, we get

h² = b² + p²

⇒ 29² = 20² + p²

⇒ p² = 29² - 20²

⇒ p² = 841 - 400

⇒ p² = 441

⇒ p = √441

⇒ p = 21

∴ The height of the roof of dog house is 21 inches.

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Answer:

10³

Step-by-step explanation:

10 x 100 = 10¹ x 10² = 10³

Answer: 10³

Step-by-step explanation: 10³

Answer:

x=7

Step-by-step explanation:

herp derp herp derp herp derp

Answer:

212g^2

Step-by-step explanation:

Answer:

-12x²-48x-42.5

Step-by-step explanation:

Answer:

16 cm^2/min

Step-by-step explanation:

dV/dt=24

V=a^3, differentiate with respect to t

dV/dt=3a^2*da/dt, a^2*da/dt=8

S=6a^2, 216=6a^2. a=6. da/dt=(8/36)

dS/dt=12*a*da/dt=12*(8/6)=16 cm^2/min

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

The surface area of the pyramid is A = 265.23 inches²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of hexagonal pyramid be represented as A

Surface area of hexagonal pyramid = Area of base + area of lateral surface

Area of the base = 93.5 inches²

Now , the Area of the lateral surface = 3a √ ( h² + ( 3a²/4 ) )

where a = 6 inches

h = 8 inches

Substituting the values in the equation , we get

Area of the lateral surface = ( 3 x 6 ) √ ( 64 + ( 3 x 36 / 4 ) )

On simplifying the equation , we get

Area of the lateral surface = 171.7 inches²

So , Surface area of hexagonal pyramid = Area of base + area of lateral surface

Surface area of hexagonal pyramid A = 93.5 inches² + 171.7 inches²

Surface area of hexagonal pyramid A = 265.23 inches²

Hence , the surface area of hexagonal pyramid is 265.23 inches²

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Answer:

A:The Reqd. No. of Permutations=3360

Step-by-step explanation:

I couldn’t find the answer to B..sorry

Answer:

y=-2x+13

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-3)/(4-5)

m=2/-1

m=-2

y-y1=m(x-x1)

y-3=-2(x-5)

y=-2x+10+3

y=-2x+13

Answer:

9

Step-by-step explanation:

240x.70=168 left after 30% to teacher

168/2=84 left after putting half in jar

25 students x 3=75 given to students

84-75=9 left

Answer:

2√2 units.

Step-by-step explanation:

To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the coordinates of points A and B into the formula, we have:

d = sqrt((1 - 3)^2 + (3 - 5)^2)

  = sqrt((-2)^2 + (-2)^2)

  = sqrt(4 + 4)

  = sqrt(8)

  = 2sqrt(2)

Therefore, the length of the line joining points A and B is 2√2 units.

Step-by-step explanation:

you can find the answer by vertical opposite angle

if the value of x is computed and it's equal to 78 you will find the answer

78=(12x+18)^

78=(12×5+18)

78=(60+18)

78=78 the problem is solved

may u get branliest please please

Answer:

682

Step-by-step explanation:

Population = 853,476

Number of violent crimes = 5817

We are to get violent crime rate per 100000 persons and interpret the result obtained.

Now if population is 1

Crime = 5817/853476

If population is 100000,

Crime = 5817x100000/853476

= 681.56

= 682

We conclude that the violent crime rate is of 682 crimes per 100000

Answer:

find the percentage equal to 70/80

Answer:

I think you'd get $270 in interest. But I don't know if that's what is means by how much her account is worth

Step-by-step explanation:

a. The probability that all the marbles are red is calculated as follows:

(7 choose 3) / (18 choose 3) = (35 / (816)) = 0.0429

So, the probability that all the marbles are red is 0.0429, rounded to 4 decimal places.

b. The probability that none of the marbles are red is calculated as follows:

(12 choose 3) / (18 choose 3) = (220 / 816) = 0.2696

So, the probability that none of the marbles are red is 0.2696, rounded to 4 decimal places.

Answer: D.

Step-by-step explanation: 2x squared - 2x squared cancel each other out. 4x-2x is 2x. -6-8 is -14. Then, put the answers together. Therefore, the final answer is 2x-14. Brainliest plz

A right-angled triangle has one of its angles to be 90 degrees

The unknown measurements are:

\(BC = 10.1\)

\(AB = 15.7\)

\(\angle B = 50\)

From the question, we have:

\(\angle A = 40^o\)

\(\angle C = 90^o\)

\(AC =12\)

See attachment for \(\triangle ABC\)

First, we calculate the measure of B

\(\angle A + \angle B + \angle C = 180\)

This gives

\(40 + \angle B + 90 = 180\)

Collect like terms

\(\angle B = 180 - 40 - 90\)

\(\angle B = 50\)

Side length BC is calculated using the following tangent ratio

\(\tan(A) = \frac{BC}{AC}\)

Make BC the subject

\(BC = AC \times \tan(A)\)

So, we have:

\(BC = 12 \times \tan(40)\)

\(BC = 10.1\)

Side length AB is calculated by Pythagoras theorem.

\(AB^2 = AC^2 + BC^2\)

So, we have:

\(AB^2 = 12^2 + 10.1^2\)

\(AB^2 = 246.01\)

Take positive square roots of both sides

\(AB = 15.7\)

Hence, the unknown measurements are:

\(BC = 10.1\)

\(AB = 15.7\)

\(\angle B = 50\)

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The values and heights obtained using the trigonometric ratios are as follows;

4. The six trigonometric ratios are;

5. The two other ways to write cot(θ) are;

6. The six trigonometric function values are;

7. The function for the height of the tree is; H = 100·tan(θ)

The completed table is presented as follows;

θ   \({}\)               10°                 15°              20°                 25°

H\({}\)               17.63             26.79          36.4               46.63

Trigonometric ratios are functions that relate the ratio of two of the sides of a right triangle to an interior angle of the right triangle.

4. The length of the adjacent side to the angle θ according to the Pythagorean Theorem is; Adjacent = √(17² - 8²) = 15

The six trigonometric ratios are;

cos(θ) = 15/17, sec(θ) = 17/15 = 1 2/15

sin(θ) = 8/17, csc(θ) = 17/8 = 2 1/8

tan(θ) = 8/15, cot(θ) = 15/8 = 1 7/8

5. The 2 other ways to write cot(θ) are;

cot(θ) = 1/(tan(θ))

cot(θ) = cos(θ)/sin(θ)

6. The location of the point on the terminal side of the angle is; (-3, -4)

Length of the hypotenuse side = √((-3)² + (-4)²) = 5

Let x represent the angle, we get;

The six trig functions of the angle are;

7. The length of the shadow of the tree = 100 m

Angle of elevation of the Sun = θ

Let h represent the height of the tree, we get;

tan(θ) = h/100

Therefore, the height of the tree, h = 100·tan(θ)

The values of the height of the tree at the different angle of elevation in the table are;

θ = 10°, h = 100 feet × tan(10°) ≈ 17.63 feet

θ = 15°, h = 100 feet × tan(15°) ≈ 26.79 feet

θ = 20°, h = 100 feet × tan(20°) ≈ 36.4 feet

θ = 25°, h = 100 feet × tan(25°) ≈ 46.63 feet

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The degree of a polynomial function with the leading term 7\(x^{5}\)  is 5.

A variable in an equation, such as a quadratic equation or cubic equation, is said to be polynomial if it only contains the positive integer exponents or non-negative integer powers. For instance, the polynomial 3x+5 has an exponent of 1.

What is degree?

The highest degree among the polynomial's monomials with non-zero coefficients is referred to as the polynomial's degree in mathematics.

The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the term of this polynomial is 5.

degree of the polynomial is the highest degree of any of the terms; in this case, it is 5.

Hence, polynomial function with leading term 7\(x^{5}\) has a degree of 5.

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Answer:

Elliot = 16 years old

Miya = 10 years old

Cara = 25 years old

Step-by-step explanation:

Define the variables:

The average age of Elliot, Miya and Cara is 4 years more than the average age of Elliot and Miya:

\(\implies \dfrac{x+y+z}{3}=\dfrac{x+y}{2}+4\)

\(\implies \dfrac{x+y+z}{3}=\dfrac{x+y+8}{2}\)

\(\implies 2(x+y+z)=3(x+y+8)\)

\(\implies 2x+2y+2z=3x+3y+24\)

\(\implies 2z=x+y+24\)

\(\implies x=2z-y-24\)

Cara is 9 years older than Elliot:

\(\implies z = x + 9\)

Four years ago, Elliot was double the age of Miya:

\(\implies (x - 4) = 2(y - 4)\)

\(\implies x - 4 = 2y-8\)

\(\implies x +4 = 2y\)

\(\implies y=\dfrac{1}{2}x +2\)

Substitute the equations for z and y into the equation for x and solve for x:

\(\implies x=2z-y-24\)

\(\implies x=2(x+9)-\left(\dfrac{1}{2}x +2\right)-24\)

\(\implies x=\dfrac{3}{2}x-8\)

\(\implies \dfrac{1}{2}x=8\)

\(\implies x=16\)

Substitute the found value of x into the equation for z and solve for z:

\(\implies z = 16 + 9\)

\(\implies z = 25\)

Substitute the found value of x into the equation for y and solve for y:

\(\implies y=\dfrac{1}{2}(16) +2\)

\(\implies y=8+2\)

\(\implies y=10\)

Therefore, the ages of Elliot, Miya and Cara are:

Answer:

The angles measured between the shadow and the wall trim and the shadow and the top or bottom of the picture should be equal if the picture is level

Step-by-step explanation:

Whereby the picture is 12 inches above the wall trim and the Sun is casting a shadow on the wall, therefore, the edges of the shadow of a straight edged object is straight

If the picture is level, the shadow cast by the sun is transversal to the wall trim and the line formed by extending the bottom or top of the picture in the direction of the shadow. That is, if the picture is parallel, the shadow cast by the Sun on the wall is transversal to the picture and the wall trim if or when the shadow eventually crosses the picture

With the protractor, the angle between the shadow and the wall trim and the shadow and the top or bottom is measured

The angles measured should be the same if the picture is level.