\(2x \times 9 \times \)mulitply binomials

Answer: 4x=35

Step-by-step explanation:

4-8=4 4x=35

Answer:

9.358

9.36 (rounded to the nearest hundredths)

9.4 (rounded to the nearest tenth)

Step-by-step explanation:

d = C/π = 29.4/π ≈ 9.358

Answer:

Step-by-step explanation:

The area of each rectangle is Length x width

Therefore Area of rectagle is 8cm x 10 cm=

A= 80 cm 2

There are three rectangles with the same measure so multiply the area by 3

80cm squared x 3= 240 cm 2

Now find the are of the triangle:

A- 1/2 x base x height

Base = 8cm

Height = 6.9 cm

A= (1/2) (8cm) (6.9cm)

A= (1/2) (55.2 cm squared)

A= 27.6 cm squared

Since there are two triangle faces with the same dimensions take the area and multiply it by 2

27.6 cm squared times 2 = 55/2 cm squared

Now add up the area of the rectangles and the area of the triangles.

Rectangles= 240 cm squared

Triangles 55.2 cm squared

240cm sq + 55.2 cm sq.= 295.2 cm squared

For the information given on the graph you have

Because the domain of a function f(x) is the set of all values for which the function is defined. In this case, the domain represents

Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

hello

the answer to the question is:

\(surface \: area = 2bs + {b}^{2} \\ = 2 \times 2 \times 6 + {2}^{2} = 28\)

Answer:

4 miles

Step-by-step explanation:

It took two miles to get there and two miles to get back. 2+2=4

Answer: 1/12

Step-by-step explanation: 1/4 x 3 = 1/12

Hey there!

--› Initial deposit: 1600

--› rate = 3.75%

a) First, convert R as a percent to r as a decimal

r = R/100

r = 3.75/100

r = 0.0375 rate per year,

Substitute into formula

= A = P(1 + r/n)nt

A = P(1 + 0.0375/4)^4t

A = 1,600.00(1 + 0.009375)^4t

b)

A = 1,600.00(1 + 0.009375)^4t

A = 1,600.00(1 + 0.009375)^4(5)

A = 1,600.00(1 + 0.009375)^(20)

A = $1,928.28

The amount of money that will be present in the account in 5 years is P(5) = $1923.36

The standard exponential equations is expressed as:

p(t) = p0(1+r)^t

where:

Substitute

P(t) =1600(1+ 0.0375)^t
P(t) = 1600 (1.0375)^t

Hence the equation to represent the aount of money in the account as a function of time in years is P(t) = 1600 (1.0375)^t

If t =5 years

P(t) = 1600 (1.0375)^t

P(t) = 1600 (1.0375)^5
P(5) = $1923.36

Hence the amount of money that will be present in the account in 5 years is P(5) = $1923.36

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Answer:

E

Step-by-step explanation:

y’’ + 9y = sin(3x)

The characteristics equation is;

m^2 + 9 = 0

solving this we have 2 complex roots

m= -3i, 3i

Thus;

yh = Ccos(3x)+ Dsin(3x)

let yp = Axcos(3x) + Bxsin(3x)

Now, because we have sin(3x) and cos(3x) with constant coefficient in yh, option E is our answer

Answer:111

Step-by-step explanation:

1111

Answer:Therefore, the equation of the line with a slope of 9/7 and containing the midpoint of the line segment with endpoints (2, -3) and (-6, 5) is:

y = (9/7)x + 25/7.

Step-by-step explanation:Step 1: Find the midpoint of the line segment.

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Given the endpoints of the line segment as (2, -3) and (-6, 5), we can find the midpoint as follows:

Midpoint = ((2 + (-6)) / 2, (-3 + 5) / 2)

Midpoint = (-4 / 2, 2 / 2)

Midpoint = (-2, 1)

So, the midpoint of the line segment is (-2, 1).

Step 2: Write the equation of the line using the slope-intercept form.

The slope-intercept form of a line is given by:

y = mx + b

where m is the slope and b is the y-intercept.

Given the slope as 9/7, we have:

y = (9/7)x + b

Step 3: Substitute the coordinates of the midpoint to find the value of b.

Using the coordinates of the midpoint (-2, 1), we can substitute these values into the equation:

1 = (9/7)(-2) + b

1 = -18/7 + b

To find the value of b, we can solve this equation:

1 + 18/7 = b

25/7 = b

Step 4: Write the final equation of the line.

Using the value of b, the equation becomes:

y = (9/7)x + 25/7

Answer:

23

Step-by-step explanation:

Step-by-step explanation:

Area of the triangle = 1/2 × base × height

Area of the triangle = 1/2 × 6 ft × 8 ft

= 3 ft × 8 ft

= 24 ft²

The correct proof of the equation is cos3θ =cos(2θ + θ) =  cos²θ - 3cosθsin²θ (Proved)

Given the trigonometry identity below:

cos3∅=cos²∅-3cos∅sin²∅

We are to prove that both sides of the equation are equal.

cos 3θ = cos(2θ + θ)

Using the double angle formula for cosine, we can expand the first term:

cos(2θ + θ) = cos2θ cos θ - sin2θ sinθ

Since cos2θ = cos²θ - sin²θ

cos(2θ + θ) =  cos²θ - sin²θ - 2cosθsinθsinθ

cos(2θ + θ) = cos²θ - sin²θ - 2cosθsin²θ

On simplifying, we can see that;

cos3θ =cos(2θ + θ) =  cos²θ - 3cosθsin²θ (Proved)

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By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:260000

Step-by-step explanation:

The position of A on the number line is

Number lines are the horizontal straight lines in which the integers are placed in equal intervals. All the numbers in a sequence can be represented in a number line.

As seen of the number line above , it is numbered in the sequence, 1,.. 2,...3 and the intervals are indicated.

Between 0 and 1 there are 5 lines, these means that each line will be 4/5

If 1 line is 4/5 , therefore ;

4 lines will be 4 × 4/5

= 16/5 = 3 1/2

Therefore the position of A on the number line is 3 1/2

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Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

60:5 = 60/5. 60/5=12

Answer:

$1.25

Step-by-step explanation:

divide 10/8

equals $1.25

1.25x8=$ 10

Answer:

0.8 cents

Step-by-step explanation:

This table provides the values of r for different values of theta (in degrees) ranging from 0 to 180.

To create a table of values for the equation r = 2 - 2sin(theta) can select various values of theta and calculate the corresponding values of r using the given equation.

Let's use a range of theta values and compute the corresponding r values:

Theta (θ) | r = 2 - 2sin(θ)

0 | 2 - 2sin(0) = 2 - 2(0)

= 2

30 | 2 - 2sin(30) = 2 - 2(0.5)

= 1

60 | 2 - 2sin(60) = 2 - 2(0.866)

= 2 - 1.732

= 0.268

90 | 2 - 2sin(90) = 2 - 2(1)

= 2 - 2

= 0

120 | 2 - 2sin(120) = 2 - 2(-0.866)

= 2 + 1.732

= 3.732

150 | 2 - 2sin(150) = 2 - 2(-0.5)

= 2 + 1

= 3

180 | 2 - 2sin(180) = 2 - 2(0)

= 2 - 0

= 2

in(θ) is evaluated using the values of sine for the corresponding angles.

The table may not be exhaustive and additional values can be calculated using the same process if desired.

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The radius of the scoop need to be decreased by approximately 0.163 inches.

The reduction in the radius of the bowl is calculated as follows:

r = ∛(3v/4π)

Volume of the larger bowl = 14 cubic inches

Volume of the new bowl = 10 cubic inches

The reduction, d, in the radius will be:

d = ∛(3 * 14/4π) - ∛(3 * 10/4π)

d = 0.163 inches

Therefore, the radius of the scoop need to be decreased by approximately 0.163 inches.

In conclusion, the volume of a sphere depends on the radius of the sphere.

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Answer:

780

Step-by-step explanation:

In this example we will call Original Price = y

72%=0.72

218.40=0.72*y

1-0.72=0.28

218.4÷0.28=780

Answer:

2

Step-by-step explanation:

-13+3b=-5-b

4b=8

b=2

Two angles are supplementary

That means they add to 180

x+y = 180

One angle is 4 less than three times the other

We know that is means equals and less than comes after

x = 3y-4

The soccer ball is above 15 feet between 0.25 seconds and 1 second.

To determine when the soccer ball is above 15 feet, we need to find the values of t that satisfy the inequality h(t) > 15.

Given the quadratic function h(t) = -16t² + 20t + 11, we can rewrite the inequality as follows:

-16t² + 20t + 11 > 15

Subtracting 15 from both sides:

-16t² + 20t - 4 > 0

Simplifying further:

-16t² + 20t - 4 = -4(4t² - 5t + 1) = -4(t - 1)(4t - 1) > 0

Now, we can solve for t by finding the values that make the inequality true. We have two factors: (t - 1) and (4t - 1).

Setting each factor greater than zero and solving for t:

t - 1 > 0 => t > 1

4t - 1 > 0 => 4t > 1 => t > 1/4

So, we have t > 1 and t > 1/4. To satisfy both conditions, t must be greater than the maximum of 1 and 1/4, which is 1.

Therefore, the soccer ball is above 15 feet for t > 1 second.

The correct answer is:

C. The soccer ball is above 15 feet between 0.25 seconds and 1 second.

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Answer:

f(x) = (x − 1)2(x + 1)(x − 3)

Step-by-step explanation:

Look at where the red line crosses/ touches the x-axis. This will give you the zeros.

It crosses at -1, touches at 1, and crosses again at 3

This means the zeros are -1, 1 and 3

Now, you need to have (x+1) (x-3) and (x-1) as factors.

Therefore, the answer is f(x) = (x − 1)2(x + 1)(x − 3).

Answer:

it can either be written as x > -1 and x < 2 or as -1 < x < 2.

Step-by-step explanation:

The graph of a compound inequality with an "and" represents the intersection of the graph of the inequalities. A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 2 or as -1 < x < 2.

Answer: An implicit function is a function, written in terms of both dependent and independent variables, like y-3x2+2x+5 = 0. Whereas an explicit function is a function which is represented in terms of an independent variable.

Step-by-step explanation: To find the implicit derivative,

Differentiate both sides of f(x, y) = 0 with respect to x.

Apply usual derivative formulas to differentiate the x terms.

Apply usual derivative formulas to differentiate the y terms along with multiplying the derivative by dy/dx.

Solve the resultant equation for dy/dx (by isolating dy/dx).

Answer:

V =226.98

Step-by-step explanation:

V=π\(r^{2}\)h

=π =4.252·4

≈226.9800

Answer:

Choice 3.  y = 5000(1.004)^24t

Step-by-step explanation:

Interest rate over 2 years is 0.1 so over a month it is 0.1 / 24 = 0.004.

There are 24 months in 2 years so the answer is:

y = 5000(1.004)^24t