After watching some fish 55 feet below the surface of thewater, a scuba diver went up 25 feet to explore a coral reef.Use a number line to help you create an equation thatshows the location of the coral reef in relation to thewater's surface.-70-60-50-40-30-20-10 0 10 20 30Interpret the sum in the context of the problem.A. The equation is -55 + 25 = -30. The coral reef is 30 feetbelow the water's surface.B. The equation is -55+ (-25) = -80. The coral reef is 80feet below the water's surface.c. The equation is -55 +25= -80. The coral reef is 80 feetbelow the water's surface.O D. The equation is -55+ (-25) = -30. The coral reef is 30feet below the water's surface.SUBMIT

Tan65°=h/75m

2.1445 × 75 = h

h = 160.83

Step-by-step explanation:

This is very very simple

The length and the width of the box is 15 inches and 11 inches respectively.

Let us consider that length , l is greater than width, w (without the loss of generality)

Hence, we can write,

l - w = 4 (given) ...(1)

It is also given that the perimeter of the face of the box is 52 inches.

Hence, we can write,

2(l + w) = 52

l + w = 52/2

l + w = 26 ... (2)

(1) + (2), using elimination method, we get

2l = 30

l = 30/2 = 15

w = 26 - 15 = 11

Hence, the length and width of the box is 15 inches and 11 inches respectively.

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Answer:

<5=39

Step-by-step explanation:

<2=48

<3=93

<2 and <4 are equal to each other because they are alternate interior angles

93+48=141

180-141=39

Answer:

∠5 = 39º

Step-by-step explanation:

∠1 + ∠2 + ∠3 = 180

∠1 + 48 + 93 = 180

∠1 = 180 - 48 - 93

∠1 = 39

Corresponding angles are congruent

∠5 = ∠1

∠5 = 39º

Answer:

51.2

Step-by-step explanation:

There are X automobiles, with a mean of 12.5 cars. The standard deviation for X is also SD = 12.0.

First, a data set's mean and standard deviation convey distinct information. The average (center) of a data collection is provided by mean (it is a measure of central tendency). You may learn about the range (dispersion) of data around the mean by looking at the standard deviation. We may investigate a data set's characteristics and characterize it using both the mean and standard deviation. To provide confidence intervals for data that has a normal distribution, they are frequently combined. If two or more data sets need to be compared:

The mean reveals whether data set is, on average, greater or lower (or better or worse). We can determine whether data set has a wider dispersion using the standard deviation (higher standard deviation means data is more spread out from the mean). Second, there are variations in how each metric is calculated. In particular, we utilize squaring to get the standard deviation but not the mean. We completely avoid using squaring when determining the mean of a data collection. Simply multiplying the total number of data points in the set by the sum of all the values in the data set yields the answer.

The mean is calculated as follows:

Mean = (all data values added together) / (number of data values)

However, when calculating standard deviation, we do employ squaring. We take the square of the deviation between each data point and the mean in particular.

The standard deviation equation is as follows:

Finally, when we add the identical value to each data point in the data set, the mean and standard deviation "respond" differently. If we multiply every value in a data collection by the constant "K":

No of the size of the data collection, the mean rises by precisely K.

No matter how many observations are in the data collection, the standard deviation does not vary. The identical value is then added.

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Answer:

A

Step-by-step explanation:

v=πr2h

r=(3)²* 5

45π unit³

Answer:

overestimate = 7

underestimate = 5

Step-by-step explanation:

Table

_________________________________

Time (months)    0    1    2     3      4     5     6

Rate                   5   7     9    14    22    31    40

___________________________________

A. Make an overestimate and an underestimate of the total quantity of pollutants that escape during the first month.

Overestimate

For this case, we review the data in the table. The value for first month of total quantity of pollutants that escape is 7. Additionally, we can notice that the rate is increasing.

Just a month and that month has a value of  7

= 1* 7 (The largest value) = 7

Underestimate

This would be equivalent to the total until the previous meassure

= 1*5 = 5

Answer:

442

Step-by-step explanation:

you can download g a u t h m a t h for questions like this, good luck :D

Let a, b, and c be vectors each starting at the origin and terminating at the points (x, x + 1), (x + 2, x + 3), and (x + 3, 2x + 4), respectively.

Then the vectors a - b, a - c, and b - c are vectors that point in directions parallel to each of the legs formed by the triangle with these points as its vertices.

If this triangle is to contain a right angle, then exactly one of these pairs of vectors must be orthogonal. In other words, one of the following must be true:

(a - b) • (a - c) = 0

or

(a - b) • (b - c) = 0

or

(a - c) • (b - c) = 0

We have

a - b = (x, x + 1) - (x + 2, x + 3) = (-2, -2)

a - c = (x, x + 1) - (x + 3, 2x + 4) = (-3, -x - 3)

b - c = (x + 2, x + 3) - (x + 3, 2x + 4) = (-1, -x - 1)

Case 1: If (a - b) • (a - c) = 0, then

(-2, -2) • (-3, -x - 3) = (-2)×(-3) + (-2)×(-x - 3) = 2x + 12 = 0   ==>   x = -6

which would make a - c = (-3, 3) and b - c = (-1, 5), and their dot product is not zero. Then the triangles vertices are at the points (-6, -5), (-4, -3), and (-3, -8).

Case 2: If (a - b) • (b - c) = 0, then

(-2, -2) • (-1, -x - 1) = (-2)×(-1) + (-2)×(-x - 1) = 2x + 4 = 0   ==>   x = -2

which would make a - c = (-3, -1) and b = (-1, 1), and their dot product is also not zero. The vertices are the points (-2, -1), (0, 1), and (1, 0).

Case 3: If (a - c) • (b - c) = 0, then

(-3, -x - 3) • (-1, -x - 1) = (-3)×(-1) + (-x - 3)×(-x - 1) = x ² + 4x + 6 = 0

but the solutions to x here are non-real, so we throw out this case.

So there are two possible values of x that make a right triangle, x = -6 and x = -2.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

C. two-thirds raised to the fourteenth

Step-by-step explanation:

Plane ADF is another way to label Plane J.

In order to determine which of the given options is another way to label Plane J, we need to first identify the key characteristics of Plane J.

These characteristics are its points, lines, and planes that it contains. We can then use these characteristics to compare and match them with the given options.

Here are the key characteristics of Plane J: Points: J, A, D Lines: JA, JD, AD Planes: Plane J Now let's examine each option to see which one matches the characteristics of Plane J: Option A: Plane h This option is not a match since Plane h is not one of the planes that contain the points J, A, and D.

Option B: Plane ABD This option is not a match since Plane ABD contains points A, B, and D but not point J.

Option C: Plane EFG This option is not a match since Plane EFG contains points E, F, and G but not point J.

Option D: Plane ADF This option is a match since Plane ADF contains points A, D, and F which are all points that are contained in Plane J.

Therefore, Plane ADF is another way to label Plane J.

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Answer:

First Quadrant

Step-by-step explanation:

Quadrant I : sin, cos, tan, cot, sec, cosec

Quadrant II : sin, cosec

Quadrant III : tan, cot

Quadrant IV : cos , sec

Answer:  if with 3.14 v= 37512.5333

if with pi v= 37531.56

Step-by-step explanation:

the formula is 1/3hπr^2

r= 2d so radius is 32

plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)

Answer:

30

Step-by-step explanation:

8x6 is 48

7x6 is 42

so 5x6 is 30

A quadratic equation, or second-order polynomial equation with a single variable, has the form ax^2 + bx + c = 0. The solution to the given equation is v = 7, -5 and 3

The form ax^2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

Given the quadratic expression below:

(v-7)(v+5)(v-3)=0

Required

The solution to the system of equation

Equate each expression to zero calculate the value of 'v' as shown:

v - 7 = 0

v = 0 + 7

v = 7

Also, v + 5 = 0

v = 0 - 5

v = -5

Similarly, v - 3 = 0

v = 0 + 3

v = 3

Hence the solution to the given equation is v = 7, -5 and 3

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Step-by-step explanation:

x - 5 < 2 (y - 8) • 1/4

x - 5 < (y - 8) / 2

2 (x - 5) < y - 8

2x - 10 < y - 8

2x - 10 + 8 < y

y > 2x - 2

graph 2x - 2 and shade the section above

The graph of (y - 8)² > 4x - 20 is the same as the graph of x - 5 < 1/4(y - 8)²

The inequality of the graph is given as:

x - 5 < 1/4(y - 8)²

Multiply both sides by 4

4x - 20 < (y - 8)²

Rewrite the inequality as:

(y - 8)² > 4x - 20

Hence, the graph of (y - 8)² > 4x - 20 is the same as the graph of x - 5 < 1/4(y - 8)²

See attachment for the graph

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Answer:

158

Step-by-step explanation:

since i helped can i have brainlist please :D

Answer:

turn it 90 degrees, hope this helps

Step-by-step explanation:

Answer:

so go to the 120 degree line and make sure the line is straight across from zero and thin dray a line going from 120 down to the bottom of where the zero is  

Step-by-step explanation:

Answer:

It would take 5 days

Step-by-step explanation:

1990/400 is 4.975 round that it is 5 so 5 days

Answer:

At least 5 days

Step-by-step explanation:

400 miles per day  / 1990 miles trip would take?

Cross multiplying gives;

\(\frac{1990}{400}\) = 4.975 days

Rounding off the answer to nearest day gives 5 days.

The last equation says z = 3, so that in the second equation we get

y + 2z = y + 6 = 5   ==>   y = -1

and in turn, the first equation tells us

x - 2y + 2z = x + 2 + 6 = x + 8 = 9   ==>   x = 1

So the solution to the system is (x, y, z) = (1, -1, 3).

Explanation:

Total number of books = 12

n = 12

amount to be chosen = 4

r = 4

To determine the different combination of books possible, we will use the combination formula:

substitute the values:

495 different combination of books is possible

The equation of a graph is a mathematical statement true only for points of that graph. The equation of specified circle is: x² + y² −41 = 0

If a circle O has radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane, then, its equation is given as: (x-h)²+(y-k)² = r²

For given case, we have h = 0, and k = 0,

We know that,

The shortest distance (straight line segment's length connecting both given points) between points (p, q) and (x, y) is:

D = √(x-p)² + (y-q)²  units.

Also,

Radius = distance between O and B as length of radius, which is

r = √[(4-0)² + (5-0)²] = √[16+25] = √41   units.

Thus, we have the equation as:

(x-h)² + (y-k)² = r²

x²+ y² = (√41)²

x² + y² = 41

x² + y² - 41 = 0

Hence, The equation of specified circle is: Option b) x² + y² - 41 = 0

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Answer:

See answer(s) below

Step-by-step explanation:

$ 176.98   to nearest cent is  $ 176.98

176.98 cents rounded to the nearest cent is 177 cents

Answer:

Step-by-step explanation:

Answer:

For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.

For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.

Point of view:

Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!

:)

The equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.

According to the question,

We have the following information:

Slope of the line = 1/3

We know that the slope of the line is denoted by m.

y-intercept of the line = -1

We know that the y-intercept is denoted by b.

We have the following equation for the line in slope-intercept form:

y = mx+b

Putting the above values in this equation:

y = x/3-1

Hence, the equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.

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1) The angular speed is approximately 12.566 radians per second.  

2) The linear speed of a point on the edge of the disk is 1.257 meters per second.

1) Herein we have a disk that spins at constant angular speed (ω), in radians per second, whose magnitude is found dimensional analysis and unit conversions:

ω = 120 rev / min × (2π rad / 1 rev) × (1 min / 60 s)

ω ≈ 12.566 rad / s

The angular speed is approximately 12.566 radians per second.  

2) The linear speed (v), in meters per second, on the edge of the disk is described by the following formula:

v = R · ω  

Where R is the radius of the spinning disk, in meters.

If we know that R = 0.1 m and ω ≈ 12.566 rad / s, then the linear speed is:

v = (0.1 m) · (12.566 rad / s)

v = 1.257 m / s

The linear speed of a point on the edge of the disk is 1.257 meters per second.

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