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When the full moon is at position 3, positions 9 and 12 experience low tide.

The correct option is 9 and 12.

The positions of the moon and the sun have an impact on the tides of the Earth's oceans.

What is a tide?

Tides are the regular rise and fall of the sea level due to the gravitational influence of the Moon and the Sun on the Earth. The gravitational pull of the Moon on the Earth produces two tidal bulges, one on the side of the Earth facing the Moon and one on the side opposite the Moon. The Moon's gravitational pull causes high tides in the area of the bulge and low tides elsewhere on the Earth. The tides are affected by the location of the Sun and the Moon as they orbit the Earth.

In order to determine which two positions experience low tide, the Moon's position must be considered.

When the Moon is directly overhead or opposite to the Earth, its gravitational pull has the greatest effect, causing the greatest difference between high and low tides, also known as spring tides.

When the Moon is at a 90-degree angle to the Earth, its gravitational pull is less, causing a smaller difference between high and low tides, also known as neap tides.

In the given case, when the full moon is at position 3, positions 9 and 12 experience low tide.

Thus, the correct option is 9 and 12.

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the gradient at \((-3,2)\) is \(\nabla f(-3,2)=\boxed{(-18i)-28j}\).

The gradient of the function \(f(x,y)=2+3x^2-7y^2\) is given by,\[\nabla f(x,y)=\frac{\partial f}{\partial x}i+\frac{\partial f}{\partial y}j\]Here, \(i\) and \(j\) are the unit vectors along the x-axis and y-axis respectively.

Hence, we have,\[\nabla f(x,y)=(6x\cdot i)-14y\cdot j\]We are to evaluate this gradient at the point \((-3,2)\).Therefore, substituting \(x=-3\) and \(y=2\) in the above expression, we have\[\nabla f(-3,2)=(6(-3)\cdot i)-14(2)\cdot j=(-18i)-28j\]Hence, the gradient at \((-3,2)\) is \(\nabla f(-3,2)=\boxed{(-18i)-28j}\).

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Answer:

\(6(a - 2) = 6a - 12\)

C.) T=15x+75

its 15 dollars each month and since you don't know the number of months the variable would correspond with 15 and you just need to add 75 onto it

Answer:

C. t = 15x + 75

Step-by-step explanation:

since you already payed the 75 dollars you add it and you multiply 15 by x because x is the number of months you pay

Answer:

d and b

Step-by-step explanation:

Solution:

Simplify the RHS:

Further simplify the RHS:

Subtract 3 both sides:

Simplify the LHS:

Divide both sides by 9:

Switch signs:

Now, graph the line.

Line attached~

The X, Y, and Z axes define a three-dimensional coordinate system, which is commonly used to represent physical objects or mathematical functions in space.

The X, Y, and Z axes are terms commonly used in mathematics, physics, engineering, and computer graphics to refer to the three dimensions in a three-dimensional coordinate system.

The X-axis is the horizontal axis and is used to represent values along the horizontal plane. It is often called the "abscissa" and is typically drawn as a horizontal line that intersects with the Y-axis at the point where they meet, which is called the origin.

The Y-axis is the vertical axis and is used to represent values along the vertical plane. It is often called the "ordinate" and is typically drawn as a vertical line that intersects with the X-axis at the origin

.The Z-axis is the third axis and is used to represent values along the depth or height plane. It is often called the "applicate" and is typically drawn as a line that is perpendicular to both the X and Y axes, intersecting with both at the origin.

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The vertices of the triangle are:

(1,4), (1,-2) and (-2,-2).

A translation by the given rule will give the vertices of the image as:

The pre-image(ABC) and image(A'B'C') are drawn in the diagram below:

Answer:

The answer is option C.

The answer is option

Step-by-step explanation:

5x + 2y = - 15 ......... 1

x - 4y = - 3 ........ 2

Make x the subject in the second equation and substitute it into the first equation

That's

x = 4y - 3

5(4y - 3) + 2y = - 15

20y - 15 + 2y = - 15

22y = - 15 + 15

22y = 0

Divide both sides by 22

y = 0

Substitute y = 0 into x = 4y - 3

That's

x = 4(0) - 3

x = - 3

x = - 3 y = 0

Hope this helps you

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

\(M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(6, 7) and (6,-5)

The midpoint is

\(M = ( \frac{6 + 6}{2} \: , \: \frac{7 - 5}{2} ) \\ = ( \frac{12}{2} \: , \: \frac{2}{2} )\)

We have the final answer as

Hope this helps you

The default alternative hypothesis tested for regression (slope) coefficients in a standard regression output is that the slope coefficient is not equal to zero.

In other words, the alternative hypothesis (H1) states that there is a significant relationship between the independent variable and the dependent variable. This can be represented as:

H1: β ≠ 0

Where β is the regression slope coefficient.

This hypothesis is tested against the null hypothesis (H0) that states there is no significant relationship between the variables, and the slope coefficient is equal to zero:

H0: β = 0

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Answer:

-1

Step-by-step explanation:

If you add a negative number, it's just subtraction. If you take away a negative number, it's just addition. So:

4+(-2)-(-3)-6

4-2+3-6

2+3-6

5-6

-1

Answer:

2.95

Step-by-step explanation:

When we have a problem like this (-2.05)-(-5)

It becomes -2.05+5 because two negatives make a positive, then we add them and we get 2.95

Answer:

11 sit ups per day

Step-by-step explanation:

because 44/4 = 11

Answer:

11sit ups each day

Step-by-step explanation:

divide 44by 4

The probability that none of them are between 46 cm and 48 cm is 0.422

From the given data,

A botanist wanted to know if the stem lengths of daffodils differed depending on which side of a building they grew on.

South side of the building

First quartile Q1 = 43

Median Q2 = 46

Third quartile Q3 = 48

As we know that first quartile Q1 is 25% mark , Median id 50% mark and third quartile Q3 is 75% mark

25% data's lie between Q1 and Q2 and next 25% between Q2 and Q3.

So the percentage data point lying between median and Q3 is 25% or 0.25.

In a sample of 3 let X be the random variable defining numbers of daffodils lying between 46 cm and 48 cm.

Then X follows Binomial (3 P=0.25)

So, P(X=0)=\({ }^3 \mathrm{C}_0 \times 0.25^0 \times(1-0.25)^3=\frac{3 !}{3 !} \times 1 \times 0.75^3=0.421875 \approx 0.422$\)

Therefore, the probability that none of them are between 46 cm and 48 cm is 0.422

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Answer:

841 is an odd number.

Step-by-step explanation:

Answer:

odd because 1 is an odd number

Step-by-step explanation:

hope this helps

The coordinates of point B' are (-3, 6).

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).

The triangle is translated as 3 units to the left and 1 unit up.

What are the coordinates of B' after the translation?

Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1).

The triangle is translated as 3 units to the left and 1 unit up.

To find the coordinates of B', we will shift the x-coordinate of point B to left by 3 units and the y-coordinate of point B to 1 unit up.

After the given transformation the coordinates of point B' would be:

\(\rm B(0, \ 5) = B (0-3, \ 5+1) = B(-3, \ 6)\)

Therefore, the coordinates of point B' are (-3, 6).

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The three equations that will emerge from the given matrix will be:

So, the equations for the given matrix will be:

[0. 2. 3. / 4]

[8 -1 -2  / 5 |

[2. 0. 1  / 9 ​]

Now, the equation will be:

Therefore, the three equations that will emerge from the given matrix will be:

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A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C.

The two triangles can be made as shown below, the bigger triangle will be an equilateral triangle with each side measuring 10 units, while the smaller triangle will be an isosceles triangle and the measure of the same length side will be equal to the radius of the circle.

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The probability that neither part you grabbed is faulty is approximately 0.622, or about 62.2%.

Let's first calculate the total number of ways of choosing 2 parts out of the 10:

Total number of ways = 10 choose 2 = 10C2 = (10 * 9) / (2 * 1) = 45

Now, we need to calculate the number of ways of choosing 2 parts such that neither of them is faulty. We can choose 2 non-faulty parts out of the 8 non-faulty parts as follows:

Number of ways of choosing 2 non-faulty parts = 8 choose 2 = 8C2 = (8 * 7) / (2 * 1) = 28

So, the probability of selecting 2 non-faulty parts is:

P(both non-faulty) = (Number of ways of choosing 2 non-faulty parts) / (Total number of ways of choosing 2 parts)

P(both non-faulty) = 28 / 45 ≈ 0.622

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Answer:

makes it slope

Step-by-step explanation:

Answer:

You could expect Trey to make 30 shots.

Step-by-step explanation:

To figure out the answer to your question, we have to divide 12 by 30 to figure out the percentage for the 75 free shots:

12 ÷ 30 = 0.4

Then, we take the 75 and multiply it by 0.4:

0.4 x 75 = 30

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Answer:

-5

Step-by-step explanation:

plug it in and it works

Answer:

\(4\frac{1}{2}\)

Step-by-step explanation:

The customer rented the car for 8 days.

The total amount paid by the customer, $138, is made up of the initial fee and the daily fee multiplied by the number of days the car was rented.

We can set up the equation as:

138 = 42 + 12x (where x is the number of days the car was rented)

To find the number of days, we can subtract the initial fee from both sides of the equation:

138 - 42 = 12x

96 = 12x

Then we can divide both sides by 12 to solve for x:

x = 8

So the customer rented the car for 8 days.

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Answer:

Point 1 (-7, 1)

Point 2 (=9`, -5)

Point 3 (-2, 4)

Step-by-step explanation:

Step 1. Move each point by 1 to the left. (Shown in dark blue)

Step 2: Move the points in dark blue down by 7. (shown lin light blue)

Step 3: find each point by lining up x and y.

You can be identified by x being left to right resembling shaking your head saying "no"

for Y shake your head up and down for Yes.

Answer:

Multiply all of the terms of each polynomial and then combine like terms. Example: Multiply: ( 2 x 2 + x − 3 ) ( x 2 − 2 x + 5 ) . Solution: Multiply each term of the first trinomial by each term of the second trinomial and then combine like terms.

Answer:

52 pages

Step-by-step explanation:

130/2.5=52

Answer:

52 pages per day

Step-by-step explanation:

130 divided by 2.5 is equal to 52. So therefore, 52 pages were read.

Hope this helps!!