Use the diagram of the volcanic island for problems 16-17
16.Use a negative integer to represent the​ depth, in​ feet, of the sea floor.
17.The weight of the volcano depresses the sea floor another 24,300 feet down. What is the total height of the​ volcano?

please help!!

You can use scatter plots to present bivariate data. The data can be used to create coordinate pairs.

The relationship between the two variables in a bivariate data set is graphically represented by a scatter plot. Consider them to be the graphic depiction of two data sets that have been combined by allocating each axis in the plot to a distinct variable.

Due to the presence of two variables, this type of data is known as bivariate data. Only 1 variable may be displayed on a line plot. You can use scatter plots to present bivariate data. The data can be used to create coordinate pairs.

The standard deviation of each variable and the covariance between them must first be determined in order to calculate the Pearson correlation. Covariance is subtracted from the product of the standard deviations of the two variables to get the correlation coefficient.

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Answer:

The answer is x= -5

Step-by-step explanation:

hope this helps

Solutions:

7x – 11x = 20

-4x=20

To find the x divide both side by -4

-4x/-4=20/-4

x= -5

Answer:

7x-11x=20

-4x=20

x=20/-4

x= -5

The value of k for function g(x) is k = 1

A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Since g(x) = (-1/2)x + k and g (2) = 0.

We can find the value of k for function g(x) by substitute x = 2 into the function, equate it to 0 and then solve for k. That is:

0 =  (-1/2)*2 + k

0 = -1 + k

-1 + k = 0

k = 1

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Answer:

21

Step-by-step explanation:

15/ 5/7 = 21

Answer: $0.45

Step-by-step explanation: $5.50/ 12= $0.45

Answer:

k=70

Step-by-step explanation:

to get k by itself you need to multiply k/7 by 7, and you multiply on both sides. 10 times 7 =70

Answer:

Step-by-step explanation:

k/7 = 10

or, k = 7*10

Therefore, k=70.

The correct answer of the given function is g'(-1) = 3 + g(-1)

Given that f(x) = -3x + g(x) and g(x) = f(t)dt, we are to find g'(-1).

Let's begin by finding g(x) from the given equation as follows:

g(x) = ∫f(t)dt

We are to find g'(x) by differentiating with respect to x.

Let G(x) be the antiderivative of f(x).

∴ g(x) = G(x) + C

where C is the constant of integration.

As g(x) = ∫f(t)dt...we have g'(x) = f(x)

Using the above relation we can say:

g'(-1) = f(-1)

Here,

f(x) = -3x + g(x) = -3x + G(x) + C

To find the function G(x), let's differentiate f(x).

df/dx = -3

Differentiating g(x) with respect to x, we get:

g'(x) = G'(x)

But g'(x) = f(x)

∴ G'(x) = f(x) = -3

Now, integrating G'(x) = -3 with respect to x, we have:

G(x) = -3x + K

where K is the constant of integration.

Further, we have g(x) = G(x) + C = -3x + K + C

Substituting the given value of x = -1, we get:

g'(-1) = f(-1) = -3(-1) + g(-1)= 3 + g(-1)

Thus, g'(-1) = 3 + g(-1).

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Answer:

Step-by-step explanation:

Solution : Given that, n = 363 x = 171 = x / n =171 / 363 = 0.471 1 - = 1 - 0.471 = 0.529

The formula would you put in cell location h10 to find the numerical derivative at position 10 of column k of the data found in j is =DERIVXY(h10, k10, j)

The term called derivative is defined as the process to determine the rate of change of a quantity with respect to another changing quantity

Here we have to write the formula for the cell location h10 to find the numerical derivative at position 10 of column k of the data found in j.

As from the definition, the general form derivative function is written as,

=> =DERIVXY(x, y, p, [options])

where x a vector of the points x-coordinates and y corresponding vector of the points y-values and p the point at which to compute the derivative.

Here we have the values of x as h10, y as k10 and p as j

Then the formula is written as,

=> =DERIVXY(h10, k10, j)

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The inequality will be 3(h+8) < 45 and the number of hats that Bill have is less than 7

HATS Bill has h hats

If he buys 8 more hats then the number of hats he has = h + 8

then multiplies his total by 3  then the number of hats he has = 3(h + 8)

Still Bill has fewer hats than Jim, Jim has 45 hats

then the inequality will be 3(h+8) < 45

3(h+8) < 45

3h + 24 < 45

3h < 21

h < 7

Therefore, the inequality will be 3(h+8) < 45 and the number of hats that Bill have is less than 7

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Answer:

See below

Step-by-step explanation:

At 160 miles, Maya will have less gas by what looks like a gallon (hard to tell becuase the picture is blurry)

At 200 miles they have the same amount of gas, Maya still has less gas remaining

Answer:

Graph A

Step-by-step explanation:

S = m+3

Let Michael read 3 page

S = 3+3 = 6

Graph A shows when m=3, S =6

The Wronskian of two linearly independent solutions of a second-order linear homogeneous differential equation is a constant value. In this case, if W(y1, y2)(1) = 4,and W(y1, y2)(5) = 4.  

The Wronskian, denoted as W(y1, y2)(t), is defined as the determinant of the matrix [y1(t), y2(t); y1'(t), y2'(t)]. Since y1 and y2 are linearly independent solutions, their Wronskian is non-zero. Given that W(y1, y2)(1) = 4, we can conclude that W(y1, y2)(t) = 4 for all values of t.

Therefore, W(y1, y2)(5) is also equal to 4. This is because the Wronskian remains constant, regardless of the specific value of t. The Wronskian measures the linear independence of solutions, and if it is non-zero at one point, it remains non-zero at all points. Thus, knowing the value of the Wronskian at t = 1 allows us to determine the value of W(y1, y2)(t) for any other value of t, in this case, t = 5. Hence, W(y1, y2)(5) = 4.

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Answer: I think it 4, but there is no triangle

Step-by-step explanation:

The minimum length of the third side must be greater than 16 feet.

The minimum length of the third side can be determined using the Triangle inequality theorem. This theorem states that the sum of any two sides of a triangle must be greater than the length of the third side. The Triangle Inequality Theorem can be expressed by the following inequality: a + b > c, where a, b, and c are the lengths of the three sides of the triangle. In this case, we have two sides of 4 feet and 12 feet, so the inequality can be written as 4 + 12 > c, which simplifies to 16 > c. Solving for c yields c > 16, which means that the minimum length of the third side must be greater than 16 feet.

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Take into account the following property:

Then, for the given expression you have:

Hence, the answer is approximately 3.322

Answer:

x>-2

3+4x>-5

4x>-5-3

4x>-8

x>-2

the answer is x>-2

Answer:

x > -2

Step-by-step explanation:

Answer:

6779

Step-by-step explanation:

69

The simplified expression of (7 + 12i) × (7 + 12i) is -95 + 168i.

To perform the indicated operation and simplify, we'll multiply the expression (7 + 12i) by itself

(7 + 12i) × (7 + 12i)

Using the distributive property, we can expand this expression

= 7 × (7 + 12i) + 12i × (7 + 12i)

= 49 + 84i + 84i + 144i²

Since i² is equal to -1, we can simplify further:

= 49 + 168i + 144(-1)

= 49 + 168i - 144

= -95 + 168i

Therefore, the simplified expression is -95 + 168i.

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Answer:

convert km into m

1 km=1000m

360 km=1000*360m

=360000m

again,convert 3 hours into seconds

3 hours=60*60*3

=10800 second

average spped=total distance /time taken

=360000/10800

=33.33 m/s

Step-by-step explanation:

Answer:

(x+4)²-2

Step-by-step explanation:

The lowest point of the curve is -2 at x=(-4)

=> The vertex of the upwards facing parabola is (-4,-2)

So, the vertex has shifted from (0,0) (vertex of x²) to (-4, -2)

Using function transformation (translation),

f(x) = (x+4)²-2

Answer:

I believe its 42.5 or 42500

Step-by-step explanation:

if its not right im so so so so sorry

9514 1404 393

Answer:

  (1)  $150 million

  (2)  $276.14

Step-by-step explanation:

(1) The ratio 5 : 2 : 6 to shareholders : bonuses : development tells us that the fraction of profits to shareholders is ...

  5/(5+2+6) = 5/13

The dollar amount to shareholders is then ...

  (5/13)($390 million) = $150 million

__

(2) We have ...

  $285.25 = (1 +3.3%) × (May price)

  May price = $285.25/1.033 = $276.14

Answer:

19

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve this problem, we will use the principle of inclusion-exclusion. Let $A_i$ be the set of integers not exceeding 10,000 that are divisible by the prime number $p_i$, for $p_i\in{3,4,7,11}$. We want to find the number of integers that are not in any of these sets $A_i$.

The number of integers not exceeding 10,000 that are divisible by $p_i$ is given by $\lfloor 10,000/p_i\rfloor$. For example, the number of integers divisible by 3 is $\lfloor 10,000/3\rfloor=3333$. However, some integers are divisible by more than one of the primes $p_i$, and we don't want to count them twice.

The number of integers not exceeding 10,000 that are divisible by two of the primes $p_i$ is given by $\lfloor 10,000/(p_ip_j)\rfloor$, where $p_i\neq p_j$. For example, the number of integers divisible by both 3 and 4 is $\lfloor 10,000/(3\times 4)\rfloor=833$.

Similarly, the number of integers divisible by three of the primes $p_i$ is $\lfloor 10,000/(3\times 4\times 7)\rfloor=59$, and the number of integers divisible by all four primes is $\lfloor 10,000/(3\times 4\times 7\times 11)\rfloor=4$.

Using the principle of inclusion-exclusion, the number of integers not exceeding 10,000 that are not divisible by 3, 4, 7, or 11 is given by:

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​

Therefore, there are 3754 positive integers not exceeding 10,000 that are not divisible by 3, 4, 7, or 11.

so we know that the factors of (x-6) and (x+2) will yield a remainder of -14, thus by the remainder theorem we can say that the values of x = 6 and x = -2 will yield -14, that is for our function f(6) = f(-2) = -14, so let's plug those two values and see what we get for our "k" and "f"

\(\boxed{x=6}\hspace{5em}f(6)=-x^3+fx^2+kx-62\\\\\\ -14=-(6)^3+f(6)^2+k(6)-62\implies -14=36f+6k-278 \\\\\\ 264=36f+6k\implies 264=6(6f+k)\implies \cfrac{264}{6}=6f+k \\\\\\ 44=6f+k\implies 44-6f=k \\\\[-0.35em] ~\dotfill\\\\ \boxed{x=-2}\hspace{5em} f(-2)=-x^3+fx^2+kx-62\\\\\\ -14=-(-2)^3+f(2)^2-k(2)-62\implies -14=8+4f-2k-62 \\\\\\ -14=4f-2k-54\implies 40=4f-2k\implies 40=2(2f-k)\)

\(\cfrac{40}{2}=2f-k \implies 20=2f-k\implies \stackrel{\textit{substituting from the equation above}}{20=2f-(44-6f)} \\\\\\ 20=2f-44+6f\implies 64=2f+6f\implies 64=8f\implies \cfrac{64}{8}=f \\\\\\ \boxed{8=f}\hspace{5em}\stackrel{\textit{since we know that}}{44-6f=k}\implies 44-6(8)=k\implies \boxed{-4=k}\)

The probability that this team will win both of their next two games is 16%

The probability of Allie's hockey team winning both of their next two games can be calculated by multiplying the probability of winning each individual game.

Since the team has a 40% chance of winning each game, the probability of winning both games is:

0.40 * 0.40 = 0.16

Therefore, the probability of Allie's team winning both of their next two games is 0.16, or 16%.

To express this answer as a percent, simply multiply by 100:

0.16 * 100 = 16%

So the final answer is 16%.

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A label figure that has four points A, B, C, D, two rays are  AB and CD and one right angle intersection of AB and CD is drawn.

A point has no size or shape and is often represented as a dot in a diagram or on a coordinate system. It is defined by its coordinates, which are usually expressed as a set of numbers or as a vector in space. Here, A, B, C, D are points

A ray can be used to describe a half-line, which is a one-dimensional line segment that extends infinitely in one direction from a single point. AB and CD are two rays.

In geometry, a right angle is an angle that measures exactly 90 degrees. It is formed by two lines or line segments that intersect at a point and are perpendicular to each other. In the intersection of AB and CD is right angle.

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The time Billy should get up to be right on time for school is 6:52 am.

The formula to calculate the time Billy should get up to be right on time for school is as follows: Time Billy Should Get Up = School Start Time - (Time to Get Dressed + Time to Eat Breakfast + Time to Walk to School). In this case, the formula is: Time Billy Should Get Up = 8:35 am - (32 minutes + 13 minutes + 17 minutes). In order to solve this equation, first we must convert the minutes to hours. 32 minutes is equal to 0.53 hours and 13 minutes is equal to 0.22 hours. 17 minutes is equal to 0.28 hours. Thus, the formula is: Time Billy Should Get Up = 8:35 am - (0.53 hours + 0.22 hours + 0.28 hours). Now, we can solve for the time Billy should get up. 8:35 am minus 0.53 hours is 7:42 am. Then, 7:42 am minus 0.22 hours is 7:20 am. Finally, 7:20 am minus 0.28 hours is 6:52 am. Therefore, the time Billy should get up to be right on time for school is 6:52 am.

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The change in the area of the surface of the cube when its side length triples from s units to 3s units is 52s³.

To quantify the change in the area of the surface of a cube when its side length triples from s units to 3s units, we can set up an integral.

Let's denote the side length of the cube as "x". The initial side length is "s" and the final side length is "3s". We want to find the change in surface area, which is the difference between the final surface area and the initial surface area.

The surface area of a cube with side length "x" is given by 6x², as each face of the cube has an area of x² and there are 6 faces.

The change in surface area can be calculated as:

ΔA = ∫(6x²) dx,

where the integral is taken from the initial side length "s" to the final side length "3s".

Now let's evaluate the integral:

∫(6x²) dx = 2x³ + C,

where C is the constant of integration.

To find the change in surface area, we substitute the limits of integration:

ΔA = [2x³]s to 3s

= 2(3s)³ - 2s³

= 2(27)s³ - 2s³

= 52s³

Therefore, the change in the area of the surface of the cube when its side length triples from s units to 3s units is 52s³.

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Answer:

¾

Step-by-step explanation:

\(\boxed{slope = \frac{y1 - y2}{x1 - x2} }\)

☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

Slope of line

\( = \frac{6 - 3}{0 - ( - 4)} \)

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