review the graph. a ship is traveling according to the vector shown. what is the ships directional bearing?

Answer:

if two angles are not suppliementary

then the measure of the angle sum is 180

if the measure of two Angles do not sum to 180 , then they are not suppliementary

if two Angles are supplementary then

false

true

true

Step-by-step explanation:

Answer:

Step-by-step explanation:

This means that the football’s height when it was kicked 41 yards away was -1.762 yards.

A yard is a unit of length measurement in the imperial and US customary systems of measurement. It is equal to 3 feet or 36 inches.

The equation given is a parabolic equation which models the path of the football. It is a quadratic equation in the form of y = ax² + bx + c, where a, b, and c are coefficients that determine the shape of the path. The coefficient a represents the rate of change in the football’s height as it moves away from the punter. In this equation, a is -0.035, which indicates that the football’s height decreases as it moves away from the punter. The coefficient b indicates the rate of change in the football’s height as it moves back toward the punter, and in this equation, b is 1.4, which means that the football’s height increases as it moves back towards the punter. Finally, the coefficient c is 1, which indicates the height of the football when it is kicked.

In this case, the football was kicked 41 yards, so plugging x = 41 into the equation gives us y = -0.035(41²) + 1.4(41) + 1 = -1.762.

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Answer:

Yes

Step-by-step explanation:

This relation is a function. Functions must have unique x-values for every y-value, this relation meets those requirements. Also, since this is a graph you can use the vertical line test. To pass the vertical line test you must be able to draw a vertical line on the graph and have it intersect with the function in no more than one place.

Answer:

D

Step-by-step explanation:

Like stated in the problem the volume of a cylinder = bh where b = area of base ( which is a circle ) and h = height

The area of a circle can be calculated by using the formula: A = πr² where r = radius

The given radius is 6 cm

Thus, area of the base = π6²

6²=36

A = 36π ( note: the problem says, " Leave your answer in terms of π" therefore we do not apply π )

The given height is 10cm

If volume = area of base times height

And area of base = 36π and height = 10

Then volume = 36π * 10 which is equivalent to 360π

Hence, the answer is d

Answer:

The Temperature was 35 Degrees F higher than the low temperature.

Step-by-step explanation:

Answer:

572

Step-by-step explanation:

you deduct 2 from 574 is leaves you at 572

Answer:

\(a = 2\sqrt{2}\) and \(b = 5\sqrt{2}\).

Step-by-step explanation:

The resulting vector is the product of the input and rotation vectors. That is:

\(\vec R = \left[\begin{array}{ccc}\cos \theta&\ -\sin \theta\\ \sin \theta&\cos \theta\end{array}\right] \left[\begin{array}{ccc}3\\-7\end{array}\right]\)

\(\vec R = \left[\begin{array}{ccc}3\cdot \cos \theta + 7 \cdot \sin \theta\\ 3\cdot \sin \theta - 7 \cdot \cos \theta\end{array}\right]\)

Now, the resulting vector is determined by evaluating in given angle:

\(\theta = \frac{3\pi}{4}\)

\(\vec R = \left[\begin{array}{ccc} 2\sqrt{2}\\ 5\sqrt{2}\end{array}\right]\)

The resulting vector is \((2\sqrt{2} , 5\sqrt{2})\). Then, \(a = 2\sqrt{2}\) and \(b = 5\sqrt{2}\).

After answering the given query, we can state that The expression for the difference between a number s and -6 is: s - (-6) or s + 6

In numbers, you can multiply, split, add, or take away. The following is how a phrase is made together: Numeric number, expression, and arithmetic operator The elements of a mathematical expression are integers, factors, and functions.   It is feasible to use contrasting words and terms. Any mathematical declaration containing variables, integers, and a mathematical action between them is known as an expression, also known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the provided equation, which are all separated by the mathematical symbol +.

The expression for the difference between a number s and -6 is:

s - (-6)

or

s + 6

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The equation of the line tangent to y = x^3 + 3x^2 + 2 at its point of inflection is y = -3x - 1.

To find the point of inflection, we need to take the second derivative of the function and set it to zero:

f(x) = x^3 + 3x^2 + 2

f'(x) = 3x^2 + 6x

f''(x) = 6x + 6

Setting f''(x) = 0, we get:

6x + 6 = 0

x = -1

So the point of inflection is (-1, f(-1)),

f(-1) = (-1)^3 + 3(-1)^2 + 2 = 2

So the point of inflection is (-1, 2).

To find the equation of the tangent line at this point, we need to find the slope of the tangent. The slope of the tangent is the first derivative evaluated at the point of inflection:

f'(x) = 3x^2 + 6x

f'(-1) = 3(-1)^2 + 6(-1) = -3

So the slope of the tangent line is -3.

Now we use the point-slope form of the equation of a line, with the point (-1, 2) and the slope -3:

y - 2 = -3(x + 1)

Simplifying, we get:

y = -3x - 1

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Given the triangle ABC and knowing that:

You need to apply:

• The Law of Sines in order to solve the exercise:

That can also be written as:

Where A, B, and C are angles and "a", "b" and "c" are sides of the triangle.

• The Law of Cosines:

Where "a", "b", and "c" are the sides of the triangle and "B" is the angle opposite side B.

Therefore, to find the length "b" you only need to substitute values into the formula of Law of Cosines and evaluate:

• To find the measure of angle A, you need to set up the following equation:

Now you can solve for angle A. Remember to use the Inverse Trigonometric Function "Arcsine". Then:

• In order to find the measure of Angle C, you need to remember that the sum of the interior angles of a triangle is 180 degrees. Therefore:

Solving the Addition, you get:

Therefore, the answer is:

Answer:

9 months

Explanation:

3 times 3 is nine

If one quarter is 3 months. 3 of these quarters would have 9 months all together.

The area of the compound shape is 84 cm squared.

A compound shape is a shape that has two or more shapes in it. Therefore, the sum of the individual area is the area of the compound shape.

Therefore,

area of the compound shape = area of the rectangle + area of the triangle

area of the rectangle = 3 × 8

area of the rectangle = 24 cm²

Let's find the base of the triangle using Pythagoras's theorem.

Hence,

17² - 8² = b²

b = √289 - 64

b = √225

b = 15 cm

Therefore,

area of the triangle = 1 / 2 × 15 × 8

area of the triangle  = 60 cm²

Finally,

area of the compound shape = 60 + 24

area of the compound shape = 84 cm²

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       The equation representing the relationship between Electricity and  Gas used, and your Bill is:

      T  =  0.25 * k + 0.97 * t

        Make a plan:

We need to find the equation that represents the relationship between the total monthly bill (T), The Kilowatt Hours of Electricity used (k), and the Terms of Gas used (t).

T  =  0.25  *  k  +  0.97  *  t

1 - Write the Equation for the cost of Electricity:

        0.25 * k

2 - Write the Equation for the Cost of Gas:

       0.97 * t

3 - Combine the Equations to Represent the total Monthly Bill (T):

       T  =  0.25 * k + 0.97 * t

Hence,  The equation representing the relationship between Electricity and  Gas used, and your Bill is:

       T  =  0.25 * k + 0.97 * t

I hope that helps!

Answer:

Step-by-step explanation:

f(x)=5x+7

g(x)=-2x-4

g(f(x))=g(5x+7)=-2(5x+7)-4=-10x-14-4=-10x-18

=-10x+(-18)

Answer:

y = 8

Step-by-step explanation:

2/3 x+1/2y = 2

2/3 x - y = -10

3/2y = 12

y = 8

Answer:

the cost of renting the pavilion for 8 hours = $130

Step-by-step explanation:

$50 plus $10 per hour

so 8 hour  = 10 * 8 = $80

$50 + $80 = $130

Answer:

10 cm³

Step-by-step explanation:

According to Archimedes, if we place an object in water, the rise of the water in mL will be the volume of the object in cm³.

Without the rock, the water measures 20 mL.

With the rock, the water measures 30 mL.

The change here is \(30-20=10\), so 10 cm³ is the volume of the rock.

Hope this helped!

Answer:

The answer for dy/dx is 3/4t .

Step-by-step explanation:

First, you have to differentiate x and y expressions in term of t :

\(x = a {t}^{4} \)

\( \frac{dx}{dt} = 4a {t}^{3} \)

\(y = a {t}^{3} \)

\( \frac{dy}{dt} = 3a {t}^{2} \)

Next, we can assume that dy/dt ÷ dx/dt = dy/dx. So we have to substitute the expressions :

\( \frac{dy}{dt} \div \frac{dx}{dt} = \frac{dy}{dt} \times \frac{dt}{dx} = \frac{dy}{dx} \)

\( \frac{dy}{dx} = 3a {t}^{2} \div 4a {t}^{3} \)

\( \frac{dy}{dx} = 3a {t}^{2} \times \frac{1}{4a {t}^{3} } \)

\( \frac{dy}{dx} = \frac{3}{4t} \)

Answer:

DE = 29.57

Step-by-step explanation:

Given:

AX = 15 cm,

CX = 12 cm,

EX = 21 cm.

Required:

Find DE

Solution:

AX and CX are segments of chord AC

DX and EX are segments of chord DE

Therefore,

DE = DX + EX

DE = DX + 21

We are not given the value of DX, so we need to find DX

Based on the intersecting chords theorem:

AX*CX = DX*EX

Plug in the values

15*12 = DX*21

180 = DX*21

Divide both sides by 21

180/21 = DX

8.57142857 = DX

DX ≈ 8.57

✅DE = DX + 21 = 8.57 + 21 = 29.57

Answer:

A) Subordinate

Step-by-step explanation:

it could help

The remainder must be 7 when z(x) is divided by x + 4

The equation is given as

z(-4) = 7

The function is represented as

z(x)

This means that

x = -4

So, we add 4 to both sides of the equation

This gives

x + 4 = 0

So, when the equation in interpreted, it means

The remainder when z(x) is divided by x + 4 is  7

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The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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The line of best fit for the given data is represented by equation C, which is y= 0.95x + 12.

To find the line of best fit, the data points are plotted on a graph, and the line is drawn so that the distance between each data point and the line is minimized.

This is done using various statistical methods, such as the least squares method, to determine the equation of the line that best represents the data.
The equation of the line of best fit can then be used to make predictions or estimations about future values of the dependent variable based on the independent variable.

In this case, the line of best fit represents the relationship between x and y, and can be used to predict the value of y for a given value of x.
In conclusion, the line of best fit for the data is represented by equation C, y= 0.95x + 12.

This line provides the closest approximation to the data points and can be used to make predictions about future values of the dependent variable based on the independent variable.

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Answer:

98765432123459 that is te answer

Step-by-step explanation:

Answer:

is the answer

Step-by-step explanation:

\(\dispalystyle a_1=11 ~\\\\~ d=a_2-a_1=19-11=8 \\\\ a_{10}=a_1+(10-1)d=11+9d=11+72=\boxed{83} \\\\\\ \huge\boxed{\mathfrak{Answer}:a_{10}=83}\)

Answer:

use sine or cosine rule

Step-by-step explanation:

that's the answer by using the sine rule

Answer:

Step-by-step explanation: