A cruise ship can cover 17 nautical miles in 391 minutes. How many nautical miles will it travel in 299 minutes?

Answer:

C

Step-by-step explanation:

You are making a couple of assumptions. The first is that since the given has units of m/s that requires an acceleration based in m/s^2. That eliminates choices A and B. 16 is usually associated with f/s^2

Second, you are assuming 42m/s is positive and the acceleration due to gravity is negative. It doesn't matter as long as they are opposite.

Third, you are assuming that 42 m/s is the vertical acceleration.  If it is not then some sort of trigonometry is needed. Since your choices don't offer trig then this assumption must be taken care of.

So the correct answer is C.

Answer:

a = 115, b = 71

Step-by-step explanation:

The figure has one pair of parallel sides and is a trapezium.

Using a property of trapeziums

• each lower base angle is supplementary to the upper base angle on the same side.

a = 180 - 65 = 115

b = 180 - 109 = 71

Answer:

A,C,D,E

Step-by-step explanation:

Answer:

A,C,D,E are correct.

Step-by-step explanation:

The tangent line AC forms a right angle with the radius line OC, so the angle at C is 90 degrees.

Angle O is given as 45 degrees, so angle A needs to equal:

180 - 90 - 45 = 45 degrees.

Answer:

[tex]\frac{131}{99}[/tex]

Step-by-step explanation:

Let    

[tex]x=1.323232...[/tex]

Multiply x by a power of  [tex]10[/tex], one that keeps the decimal part of the number the same:  

[tex]100x=132.3232..[/tex]

Subtract [tex]x[/tex] from [tex]\\100x[/tex]

[tex]100x-x=132.3232...-1.3232...=131[/tex]

The repeating decimals should cancel out

[tex]\\99x=131[/tex]

solve for x

Divide by [tex]99[/tex] both sides

[tex]x=\frac{131}{99}[/tex]

Answer:

Not inverse of each other

Domain : [-∞,0) U (0,5) U (5,∞]

Step-by-step explanation:

Given in the question two functions

f(x)=1/x-5

g(x)=5x-1/x

To find that each of them are inverse of each other we will use composition

[tex]\frac{1}{\frac{5x-1}{x}-5 }[/tex]

take LCM

[tex]\frac{1}{\frac{5x-1-5x}{x}}[/tex]

5x will be cancel

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

1 ÷ (-1/x)

1 × (-x/1)

-x

Now,

[tex]\frac{5\frac{1}{x-5} -1}{\frac{1}{x-5}}[/tex]

[tex]\frac{5}{x-5} -1}[/tex] × [tex]5-x[/tex]

[tex]\frac{5-x+5}{x-5} * (x-5)[/tex]

10-x

As it ended up with different answers, so f(x) and g(x) are not inverse of each other

The domain are all the possible x-values of function except x ≠ 0 and x ≠ 5

We can conclude that the domain of the composition function is

Domain : [-∞,0) U (0,5) U (5,∞]

To prove whether or not the functions f(x) = 1/(x-5) and g(x) = (5x-1)/x are inverses of each other, we need to show that their compositions result in the identity function. We also need to find the domain of the compositions f(g(x)) and g(f(x)).

To prove whether or not the functions f(x) = 1/(x-5) and g(x) = (5x-1)/x are inverses of each other, we need to show that their compositions result in the identity function. Let's start by finding the composition f(g(x)):

Now, we need to find the composition g(f(x)): g(f(x)) = g(1/(x-5))

Follow the same steps as above to simplify g(f(x)) as a function of x. If the compositions f(g(x)) and g(f(x)) both result in the identity function, then the functions f(x) and g(x) are inverses of each other.

To express the domain of the compositions f(g(x)) and g(f(x)), we need to consider the restrictions on the domains of the individual functions. The domain of f(g(x)) will be the values of x for which (5x-1)/x is defined, and the domain of g(f(x)) will be the values of x for which 1/(x-5) is defined.

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Answer:

5 strides because 6-1=5

Step-by-step explanation:

➷ You just need to count the number of squares. It would be 5 strides.

The mathematical way is using the y values:

6 - 1 = 5

It is 5 strides.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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Answer:

The best thing to do here is PEMDAS which is parenthesis, exponents, then eith multiply, divide, add, subtract which will help you figure out the answer and when you plug it all in you get 106 as ur answer

Step-by-step explanation:

Answer: 29.41 pounds

Step-by-step explanation:

You have the following information given in the problem:

- The fat percentage that the person has is 17.2%

- The person weighs 171 pounds.

Therefore, to calculate the amount of pounds of her weight is made up of fat (which you can call x), you must multiply the weight of the person by the fat percentage.

Therefore, you obtain the following result:

[tex]x=171lb*0.172\\x=29.41lb[/tex]

The probability of choosing Wednesday is 1/7

There are 7 days in a week, and one of the days is Wednesday.

So, we have:

Days = 7

Wednesday = 1

The probability of choosing Wednesday is calculated as:

P(Wednesday) =Wednesday/Days

This gives

P(Wednesday) = 1/7

Hence, the probability of choosing Wednesday is 1/7

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Answer:

384 cm²

Step-by-step explanation:

Calculate the volume of metal in the block

V = 16 × 8 × 4 = 512 cm³

Then the volume of the cube = 512 cm³

That is

s³ = 512 ← s is length of side of cube, hence

s = [tex]\sqrt[3]{512}[/tex] = 8 cm

The cube has 6 square faces, hence

surface area = 6 × 8² = 6 × 64 = 384 cm²

Answer:

B

Step-by-step explanation:

Volume of Cone formula is given by :  [tex]V=\frac{1}{3}\pi r^2 h[/tex]

Given V = 56.52 and h = 7, we plug them in and solve for r:

[tex]V=\frac{1}{3}\pi r^2 h\\56.52=\frac{1}{3}(3.14) r^2 (7)\\56.52=7.33r^2\\\frac{56.52}{7.33}=r^2\\7.71=r^2\\r=\sqrt{7.71}\\ r=2.77[/tex]

rounding to tenths place, r = 2.8 inches

Answer choice B is right

Answer: c.   [tex]4.9\ in.[/tex]

Step-by-step explanation:

The volume of cone is given by :-

[tex]V=\dfrac{1}{3}\pi r^2 h[/tex], where r is radius and h is height of the cone.

Given: Height : 7 in.

Volume : [tex]56.52\ in^3[/tex]

Then the volume of the cone will be :-

[tex]56.52=\dfrac{1}{3}(3.14) r^2(7)\\\\\Rightarrow\ r^2=\dfrac{56.52\times3}{7\cdot3.14}\\\\\Rightarrow\ r^2=24.22285714\\\\\Rightarrow\ r=4.921672189\approx4.9\ in.[/tex]

Hence, the radius of the cone =  [tex]4.9\ in.[/tex]

Answer:

its exponential because the parent function is y=(a)(b)^x

Step-by-step explanation:

Final answer:

The rule y = -3 ∙ 2ˣ defines an exponential function due to the term 2ˣ, where the base 2 is a constant raised to the variable power x, leading to a rapid change in y values as x changes.

Explanation:

The rule y = -3 ∙ 2ˣ represents an exponential function, not a linear function. In a linear function, the variable x is raised to the first power and appears in the form y = mx + b, where m and b are constants, and the graph is a straight line. In contrast, an exponential function is of the form y = a ∙ bˣ, where a and b are constants, and b is the base raised to the power of x.

The presence of the term 2ˣ indicates that as x increases, the value of y changes at an exponential rate. This is characterized by a curve that shows a rapid increase or decrease in value rather than a constant rate of change. Additionally, since the base b (which is 2 in this case) is a positive number other than 1, and it is raised to the power of x, this confirms the exponential nature of the function.

Answer: Independent Variable

Step-by-step explanation:

The independent (or manipulated) variable is something that the experimenter purposely changes or varies over the course of the investigation. The dependent (or responding) variable is the one that is observed and likely changes in response to the independent variable.

Answer:

x = 20 feet, y = 40 feet

Step-by-step explanation:

See attached photo for solution

The length of the brick wall is 20 ft and the length of an adjacent side is 40 ft and this can be determined by forming the linear equation in two variables.

Given :

Let 'x' be the length of the brick wall and 'y' be the length of an adjacent side in feet. Then the area of the garden is:

xy = 800    --- (1)

The perimeter of the rectangular garden will be:

Perimeter = 24x + 8x +2(8)y    ---- (2)

Now, solve equation (1) for y.

[tex]y = \dfrac{800}{x}[/tex]   --- (3)

Now, put the value of 'y' in equation (2).

[tex]\rm P=32x+16\times \dfrac{800}{x}[/tex]

Now, for minimizing cost differentiate the perimeter with respect to 'x'.

[tex]\rm P'=32-16\times \dfrac{800}{x^2}[/tex]

Now, equate the above equation to zero.

[tex]0=32-16\times \dfrac{800}{x^2}[/tex]

[tex]\dfrac{800}{2}={x^2}[/tex]

x = 20

Now, put the value of 'x' in the equation (3).

[tex]y = \dfrac{800}{20}[/tex]

y = 40

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Step-by-step explanation:

Less than 2 hours. Since 100 percent of her time is 2 hours and she only spent 20 percent of 2 hours, which is less than 100 percent, it is less than

Answer:

more

Step-by-step explanation:

1/5 times 2 is equal to 3

Answer:

The standard form of the equation is y = 2x^2 + 16x + 25

Step-by-step explanation:

To find the standard form, first square the parenthesis.

y = 2(x + 4)^2 - 7

y = 2(x^2 + -8x + 16) - 7

Now distribute the 2

y = 2(x^2 + 8x + 16) - 7

y = 2x^2 + 16x + 32 - 7

Now combine like terms

y = 2x^2 + 16x + 32 - 7

y = 2x^2 + 16x + 25

Answer:

The dimensions of the dilated rectangle are 30 cm x 16 cm

Step-by-step explanation:

we know that

To find the dimensions of the dilated rectangle, multiply the original dimensions by the scale factor

so

Let

A'B'C'D'------> the dilated rectangle

z-------> the scale factor

we have

z=2

A'B'=AB*z=15*2=30 cm

B'D'=BD*z=8*2=16 cm

The dimensions of the dilated rectangle are 30 cm x 16 cm

Answer:

x = 75 degrees

Step-by-step explanation:

155 and the angle next to it makes 180 degrees

To find the missing angle take 180 and subtract 155

180 - 155 = 25

All the angles in the upper triangle are 25, 80 and x

To find x add 80 and 25

80 + 25 = 105

A triangle equals 180 degrees so subtract 105 from 180 to get x

180 - 105 = 75

Hope this helps.

Answer: The angle is 75°

Step-by-step explanation:

Please give the other person brainliest, they deserve it :3

You can multiply both sides of an inequality by the same, nonzero number, but if this number is negative, you have to flip the sign.

In this case, in order to solve for x, you have to divide by -3 (i.e. multiply by -1/3), so yes, you must switch the sign:

[tex]-3x<15 \implies x>-5[/tex]

Alternatively, you may add 3x to both sides:

[tex]0<3x+15[/tex]

Subtract 15 from both sides:

[tex]3x>15[/tex]

And divide both sides by 3:

[tex]x>5[/tex]

The sign switch here was hidden behind the fact that we switched the two sides of the inequality

Step-by-step explanation:

i think its B I'm not really sure

Answer:

35 square units

Step-by-step explanation:

The surface area of the given solid will be the sum of areas of all of its sides. From the given figure we can see that the sides(faces) of the solid are:

The Area of each triangle is 4 square units. So we need to calculate the area of the squares.

Side length of square = 3 units

Area of square = Length² = 3² = 9

Surface Area of Given Solid = Area of 2 Triangles + Area of 3 Squares

= 2(4) + 3(9)

= 8 + 27

= 35 square units

Surface Area of Given Solid = 35 square units

Answer:

The surface area of the triangular prism is 35 square units

Step-by-step explanation:

It is given that,A solid is composed of squares and equilateral triangles

The area of each triangle is 4 square units

To find the surface area of solid

From the figure we get,

Surface area = Area of 2 triangle + area of 3 squares

There are 2 triangles with area = 4 square units

Area of 2 triangle = 2 * 4 = 8 square units

There are 3 squares with side = 3 units

Area of 1 square = 3 * 3 = 9 square units

Area of 3 squares = 3 * 9 = 27 square units

Surface area = 8 + 27 = 35 square units

The surface area of the triangular prism is 35 square units

Answer:

k = 10

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ZYM is an exterior angle of the triangle and

∠'s YZX and ZXY are the 2 opposite interior angles, hence

4k + 5 + 6k + 10 = 115

10k + 15 = 115 ( subtract 15 from both sides )

10k = 100 ( divide both sides by 10 )

k = 10

Answer:

k=10

Step-by-step explanation:

∠ZYX= 180-115= 65 these are supplementary angles adding up to 180°.

The interior angles in the triangle should add up to 180°

Adding the values and then equating to 180° we get the following equation.

65+(4k+5)+(6k+10)=180°

simplifying we get: 80+10k=180

10k=180-80

10k=100

k=10

The new coordinates of the figure is :

A=( 1,5)  B= (-4,5)  C= (-4,8)

A point on a plane can be subject to transformations. Examples of transformations that can be done on points are translations, reflections, or rotations about a point. These transformations are also observed algebraically, in which functions on the coordinates are applied.

Recall that if (x, y) is a point on the plane, reflecting it across the y-axis means that the x-coordinate is negated:

(x, y) => (-x, y)

The coordinates of the figure is

A = (-1,5)

B = (4, 5)

C = (4, 8)

The new coordinates of the figure is :

A=( 1,5)  B= (-4,5)  C= (-4,8)

This means that the first coordinate is changed, and the y-coordinate is left as is.

Therefore, it is the y-coordinate that stays the same when reflected across the y-axis.

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A (1, 5), B (-4, 5), C (-4, 8) are the new coordinates of the figure aboge if it is reflected over the y axis.

In the realm of plane geometry, various transformations can be applied to points, facilitating a means of altering their positions or orientations. These transformations include translations, reflections, and rotations, all of which have algebraic representations.

When reflecting a point across the y-axis, as denoted by the transformation (x, y) => (-x, y), the x-coordinate is negated while the y-coordinate remains unaffected.

This can be observed in the coordinates of the figure:

A (-1, 5)

B (4, 5)

C (4, 8)

After the reflection, the new coordinates become:

A (1, 5)

B (-4, 5)

C (-4, 8)

It is evident that the reflection operation results in the change of the sign of the x-coordinate while leaving the y-coordinate unaltered. Consequently, the y-coordinate remains the same when a point is reflected across the y-axis, illustrating a fundamental property of this geometric transformation.

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The value of X is 112° and The value of Y is 68°

Answer:

Angle y: 68°

Angle x: 112°

Step-by-step explanation:

When you are dealing with two sets of parallel lines where one set intercepts the other, angles are always the same as the parallel line's angle. In this example

∡PM = 68° = ∡y°

Seeing that we now know that y is 68° and q is a straight line (Straight Lines have an angle of 180°) we can subtract 68° from 180° in order to get the degree of the angle x.

180° - 68° = 112°

Now we know that angle y is 68° and angle x is 112°

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Answer:

3.2 inches

Step-by-step explanation:

1. The outlier is 23 inches, it is very big compared to the other numbers.

2. The average is 6 inches.

3. The deviations are: 4, 3, 5, 3, 1, 4, 4, 4, 3, and 1.

4. The mean of those numbers is 3.2 inches.

Answer:

THE ANSWER IS 3.2 INCHES

Step-by-step explanation: