(Chapter 14) If f(x,y) has two local maximal, then f must have a local minimum.TrueFalse

Answer:

The right choice is Esther's

Step-by-step explanation:

Present worth of GH¢ after 3 years is better as its present really worth may be very high than GH¢ a thousand of today. Here fee of interest is not given to compare however GH¢ 3000 after three years will be equivalent to present well worth GH¢ 1000 if charge of interest >44.5% which may be very very excessive. Thus charge of interest > 44.5% Then GH¢ 3000 payable after 3 years could be equivalent to GH¢ 1000 Hence vide has made the proper preference. If interest price >44.5%.

Then Esther's preference will he right. (thinking about time value of money).

The measure of each arc is 30.

The arc of a circle is defined as the part or segment of the circumference of a circle.

Given that, a circle, Chords NO and PQ are congruent. Arc NO measures 4x + 10 and Arc PQ measures 2x + 20.

We know that,

Chord Arcs Theorem :-

If two chords in a circle are congruent, then their intercepted arcs are congruent.

2x+20 = 4x+10

2x = 10

x = 5

Therefore,

2(5) + 20 = 30

Hence, the measure of each arc is 30.

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In a turbidity current, submarine sediments flow chaotically downslope in submarine canyons.

Turbidity currents are powerful underwater currents that carry a mixture of water and sediment down submarine canyons and slopes. They are triggered by various mechanisms, such as earthquakes, landslides, or the sudden release of sediment from the seafloor. When these currents occur, they transport sediment in suspension, creating a turbid, muddy water column. As the current flows downslope, it moves with great force and velocity, eroding the canyon walls and depositing sediment along its path.

The sediments carried by turbidity currents can vary in size, ranging from fine silt and clay particles to larger sand and gravel. As the current slows down, it starts to deposit the sediments it carries, forming distinctive sedimentary features like graded bedding and turbidite sequences. Turbidity currents play a crucial role in shaping submarine landscapes, transporting sediment over long distances, and influencing the distribution of marine organisms. Understanding their dynamics and sediment transport processes is important for various scientific disciplines, including sedimentology, geology, and oceanography.

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Answer:

1/10

Step-by-step explanation:

your equation is 4/5 divided by 8/1.

Lets solve that problem with the acronym KCF, or

Keep

Change

Flip.

K: "keep" the first fraction, or the one you are multiplying with, so 4/5 stays the same.

C: "change" the division sign to a multiplication sign, so 4/5x8/1

F: "flip" the second fraction, so 8/1 becomes 1/8.

now our equation is 4/5x1/8. If we solve that, we get 4/40, which reduced is 1/10.

Answer:

Answer: A. That's what I got for E D G E N U I TY and 7/8 is bigger than 2/4.

just thank me later when you get it correct...

I think the answer is 8?

Step-by-step explanation:

Answer:

\(81\pi\)

Step-by-step explanation:

Area = pi*r^2

Area = pi*9^2

Area = \(81\pi\)

Answer:

81πyd²

Step-by-step explanation:

Given

Radius of the circle (r) = 9 yd

Area of the circle

= πr²

= π * 9²

= 81π yd²

Hope it will help :)❤

Answer: $1150

Step-by-step explanation:

Simple interest is calculated as:

= Principal × Rate × Time

where,

Principal = $2000

Rate = 5.75%

Time = 10

Interest = 2000 × 5.75% × 10

= 2000 × 0.0575 × 10

= 1150

The amount earned will be $1150.

Answer:

In the 18th year

Step-by-step explanation:

\(-5x = 78 + 25 <=> -5x = 103 <=> x = -103/5\)

Answer:

BBBBB

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Therefore, based on the given scatter plot, the set of numbers that matches the points is C. 8,9,8,10,8,11.

Step-by-step explanation:

The scatter plot shown represents a set of nine points on a coordinate plane. Each point consists of an x-coordinate and a y-coordinate. To determine which set of numbers corresponds to the scatter plot, we need to analyze the pattern in the given points.

Looking at the scatter plot, we observe that the x-coordinates range from 0 to 10 with an increment of 1, while the y-coordinates seem to vary.

Now let's examine the given answer choices:

A. .4,4,5,5,6,6

B. .4,10,4,11,4,12

C. 8,9,8,10,8,11

D. 10,10,10,11,10,12

Set C (8,9,8,10,8,11) among these answer choices matches the pattern observed in the scatter plot. The x-coordinates in the scatter plot range from 0 to 10, and the y-coordinates correspond to the numbers provided in set C.

Therefore, based on the given scatter plot, the set of numbers that matches the points is C.

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Answer:

A and B.

Step-by-step explanation:

The irrational number are -√3 +2  and √2 x √3.

Any number that cannot be stated as a fraction for any integers is considered to be irrational. The decimal expansions of irrational numbers are neither periodic nor do they come to an end. Every number that is transcendental is illogical.

Given:

A) -√3 +2 is an irrational number.

B) √2 x √3 = √6, which is an irrational number.

C) √27 x √ 3

= 3√3 x √3

= 3 x 3

= 9, which is a rational number.

D)  3√7 + 2√7-5√7

= 5√7- 5√7

= 0, which is a rational number.

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The dishonest shopkeeper used a weighing machine that considers 900 grams as 1 kilogram. By selling 3 kilograms of sugar, they earned Rs. 12 more than they should have.

In this problem, the dishonest shopkeeper used a weighing machine that takes 900 grams as 1 kilogram. Therefore, if a customer bought 1 kilogram of sugar, the shopkeeper would only give them 900 grams of sugar. However, the cost per kilogram of sugar is Rs. 40.

To find out how much more money the shopkeeper earned by selling 3 kilograms of sugar to the customer, we need to first find out how much sugar the customer actually received for 3 kilograms. The customer would have actually received 2.7 kilograms of sugar because the shopkeeper's weighing machine takes 900 grams as 1 kilogram.

So, the total cost of 2.7 kilograms of sugar would be (2.7 x 40) Rs. 108. The shopkeeper would have earned Rs. 12 more by using this dishonest method to sell 3 kilograms of sugar. This is because the shopkeeper would have sold 3 kilograms of sugar at the rate of 40 Rs./kg whereas the customer only received 2.7 kilograms of sugar.

Therefore, the shopkeeper earned Rs. 12 more than they should have by using this method.

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Answer:

Step-by-step explanation:

82

The length of the perpendicular is 14.69 units.

We have a right - angled triangle with hypotenuse (h) = 21 units, base (b) = 15 units.

We have to find the height of the perpendicular (p) for this right angled triangle.

According to the Pythagoras theorem : for a right angled triangle -

\(h^{2} =b^{2} +p^{2}\)

In the question given to us that - h =21 units and b = 15 units. Substituting the values in the above equation, we can the value of p.

\((21)^{2}\) = \((15)^{2}\) + \(p^{2}\)

\(p^{2}\) = \((21)^{2} -(15)^{2}\)

\(p^{2}\) = (21 + 15) x (21 - 15) = 36 x 6 = 216

\(p\\\) = 14.69 units

Hence, the length of the perpendicular is 14.69 units.

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Answer:

LM

Step-by-step explanation:

Answer:

Yes, because 42 squared + 56 squared not-equals 70 squared.

Step-by-step explanation:

The solution to the equation is 2

Given the equation

4 + 4(x-2) = 2(x+1) - x

First, we expand the bracket

4 + 4x - 8 = 2x + 2 - x

collect like terms

4x - 2x + x = 2 - 4 + 8

Add like terms

3x = 6

Make 'x' the subject

x = 6/3

x = 2

Thus, the solution to the equation is 2

The complete question is

What is the solution to the equation of 4 + 4(x-2) = 2(x+1) - x? show your work

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Answer:

the slope is 2

the y-intercept is -3

Step-by-step explanation:

Answer:

Jasmine can afford 10 ounces of yogurt and toppings.

Step-by-step explanation:

$7 - $2.50 bottle of water

= $4.50

$4.50 divided by $0.45

= 10 ounces

Answer:

28.5

Step-by-step explanation:

7 times 18

plus 45

divided by 6(2x3)

Since, Ladder makes an angle 60

∘

with the floor as shown in figure.

∴ ladder makes 120

∘

angle with the positive direction of x-axis.

⇒ slope of ladder =tan120

∘

=tan(90

∘

+30

∘

)=−cot30

∘

=−

3

For the given point (-1, -√3), we can only express its polar coordinates as (2, π/3), where r > 0 and 0 ≤ θ < 2π.

A) The polar coordinates (r, θ) of the point (-1, -√3) in Cartesian coordinates can be found using the formulas:

r = √(x^2 + y^2)

θ = arctan(y/x)

Substituting the given values, we have:

r = √((-1)^2 + (-√3)^2) = √(1 + 3) = 2

θ = arctan((-√3)/(-1)) = arctan(√3) = π/3

Therefore, the polar coordinates of the point (-1, -√3) are (2, π/3), where r > 0 and 0 ≤ θ < 2π.

B) If we consider r < 0, it means that the point lies in the opposite direction from the origin. However, in the polar coordinate system, r is always positive, so there are no polar coordinates for the point (-1, -√3) where r < 0. The polar coordinate system does not allow negative values for r.

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Event A and Event B being mutually exclusive means that they cannot occur simultaneously. On the other hand, Event A and Event C not being mutually exclusive means that they can occur together or overlap.

Mutually exclusive events refer to events that cannot happen at the same time. If Event A occurs, then Event B cannot occur, and vice versa. For example, if Event A represents "heads" in a coin toss, and Event B represents "tails," it is impossible for both events to happen simultaneously. Therefore, the occurrence of one event precludes the occurrence of the other.

Non-mutually exclusive events, as in the case of Event A and Event C, allow for the possibility of both events occurring together. For instance, if Event A represents "rain" and Event C represents "using an umbrella," it is possible for it to rain (Event A) and for someone to be using an umbrella (Event C) at the same time. In this case, the occurrence of Event A does not exclude the occurrence of Event C.

Understanding whether events are mutually exclusive or not is essential in probability theory, as it influences how probabilities are calculated. When events are mutually exclusive, the probability of either event occurring is simply the sum of their individual probabilities. However, when events are not mutually exclusive, the probability of both events occurring requires a different calculation, such as using conditional probabilities or the inclusion-exclusion principle.

In summary, Event A and Event B are mutually exclusive, meaning they cannot occur simultaneously, while Event A and Event C are not mutually exclusive, allowing for the possibility of both events occurring together.

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Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{10 {x}^{2} - 8x + 8}}}}}\)

Option A is the correct option

Step-by-step explanation:

\( \sf{8 {x}^{2} + x - 5 + (2 {x}^{2} - 9x + 13)}\)

When there is a ( + ) in front of an expression in parentheses , there is no need to change the sign of each term.

That means, the expression remains the same.

Also, Remove the unnecessary bracket

⇒\( \sf{8 {x}^{2} + x - 5 + 2 {x}^{2} - 9x + 13}\)

Collect like terms

⇒\( \sf{8 {x}^{2} + 2 {x}^{2} + x - 9x - 5 + 13}\)

⇒\( \sf{10 {x}^{2} - 8x - 5 + 13}\)

Calculate

⇒\( \sf{10 {x}^{2} - 8x + 8}\)

Hope I helped!

Best regards!!

the integral of the function f(x,y,z) = 2xyz over the cube with sides of length 2 is:

∭_V 2xyz dV = 2 ∭_V xyz dV = 2(1/2) = 1

To evaluate the integral of the function f(x,y,z) = 2xyz over the cube with sides of length 2, we need to set up the triple integral:

∭_V 2xyz dV

where V is the volume of the cube with sides of length 2. Since the cube has sides of length 2, its volume is 2³ = 8. Therefore, we can rewrite the integral as:

∭_V 2xyz dV = 2 ∭_V xyz dV

To evaluate this triple integral, we need to choose an order of integration. Let's choose the order z, y, x. Then we can write:

∭_V xyz dV = ∫_-1¹ ∫_-1¹ ∫_-1¹ xyz dzdydx

Integrating with respect to z first, we get:

∫_-1¹ ∫_-1¹ ∫_-1¹ xyz dzdydx = ∫_-1¹ ∫_-1¹ (xy/2) dydx

= ∫_-1¹ [x/4] dx = [x²/8] from x = -1 to x = 1

= 1/4 - (-1/4) = 1/2

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Answer:

Step-by-step explanation:

Answer:

Height of the cliff = 13.66 m

Step-by-step explanation:

Let the height of the cliff is 'x' m and distance between the base of the cliff and the boat is 'y' m.

From right triangle AOC,

tan 30° = \(\frac{\text{Opposite triangle}}{\text{Adjacent side}}\)

\(\frac{1}{\sqrt{3}}=\frac{x}{y}\)

y = \(x\sqrt{3}\) ------(1)

From right angle triangle BOC,

tan 45° = \(\frac{x}{y-10}\)

\(1=\frac{x}{y-10}\)

x = y - 10

y = x + 10 -------(2)

From equations (1) and (2),

\(x\sqrt{3}=x+10\)

\(x(\sqrt{3}-1)=10\)

\(x=\frac{10}{\sqrt{3}-1 }\)

x = 13.66 m

Therefore, height of the cliff is 13.66 m.

Answer:

large

Step-by-step explanation:

Answer:

A. Large

Step-by-step explanation: