A rectangular prism has a length of 3 meters, a height of 7 meters, and a width of 7 meters. What is its volume, in cubic meters?​

Answer:

y = 1/20 x + 5

Step-by-step explanation:

Let the height of the sand dune after x years be represented by the equation

y = mx+c where;

m is the rate at which the hills is eroding

c is the height of the dunes above the sea

If The hill is eroding at a rate of 1 foot per 20 years,then the rate of eroding per year will be;

1foot = 20years

m = 1year

Cross multiply

20m = 1

m = 1/20 foot/yr...

c = 5foot

Substitute into the formula:

y = 1/20 x + 5

Hence the equation that represent the situation is y = 1/20 x + 5

Answer:

b

Step-by-step explanation:

Answer:

all of the above

Step-by-step explanation:

according to your question

Each person will get 7 peaches.

Given,

Number of peaches total = 35 peaches

Number of people total = 5 people

We can use simple division in this question.

Division is often considered the most difficult of the four main arithmetic functions. This page explains how to perform division calculations. Once we have a good understanding of the method and rules, we can use a calculator for more tricky calculations without making mistakes.

Division allows us to divide or 'share' numbers to find an answer. For example, let’s consider how we would find the answer to 10 ÷ 2 (ten divided by two). This is the same as ‘sharing’ 10 sweets between 2 children. Both children must end up with the same number of sweets. In this example the answer is 5.

Since it is an equal distribution of peaches,

Each person will get 35/5 = 7 peaches.

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The true proportion of the side lengths of the quadrilaterals is A'B'/AB

From the question, we have the following parameters that can be used in our computation:

Quadrilaterals ABCD and A'B'C'D

These quadrilaterals are similar

So, it means that the corresponding side lengths are proportional

So. we have

Side length = AB

Corresponding side length = A'B'

The true proportion is then represented as

k = Corresponding side length/Side length

Substitute the known values in the above equation, so, we have the following representation

k = A'B'/AB

Hence, the proportion is A'B'/AB

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Answer:

Step-by-step explanation:

(-2, 2)   (2, -3)

(-3 - 2)/(2 + 2)

-5/4 the slope

y - 2 = -5/4(x + 2)

y - 2 = -5/4x - 5/2

y- 4/2 = -5/4x - 5/2

y = -5/4x - 1/2

Answer:

sorry but i need the points <3

Step-by-step explanation:

The length of the side AB represented by x in the triangle ABC is equal to 16 using the trigonometric ratio of sine.

The trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.

The triangles ABC and ADB are right-angled triangles, we shall be considering the trigonometric ratio of the sine of angle A which is common to both triangles.

For triangle ABC;

sinA = adjacent/hypotenuse

sinA = x/32

for triangle ADB;

sinA = 8/x

thus we can say that;

x/32 = 8/x {cross multiplication}

x² = 3 × 32

x² = 256

x =√256 {take square root for both sides}

x = 16.

Therefore, 16 is the length of the side AB labelled x, using the trigonometric ratio of sine of the common angle A to the triangles ABC and ADB.

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The integral for the volume of the solid S is:

V = ∫[a, b] 2πx(4y - 2) dx

To set up an integral for the volume of the solid generated by rotating the region R bounded by r = 4y and y = \(x^3\) about the line y = 2, we can use the method of cylindrical shells.

First, let's sketch the region R to better visualize it.

Region R is bounded by the curve r = 4y and the curve y =\(x^3\).

The curve r = 4y can be rewritten in terms of x and y as\(x = 4y^{(1/3)}\).

Now, let's plot the region R:

 |       x

 |      /

 |     /  

 |    /

 |   /   r = 4y

 |  /

 | /

 |/

 ---------------------- y

The region R is a bounded area in the xy-plane between the curve r = 4y and the curve y = \(x^3\).

To find the volume of the solid generated by rotating this region about the line y = 2, we'll use cylindrical shells. We'll consider an infinitesimally thin vertical strip of width Δx at a distance x from the y-axis.

The height of the shell will be given by h = (4y - 2), where y ranges from \(x^3\) to 2.

The circumference of the shell will be given by the formula C = 2πr, where r is the distance from the y-axis to the curve r = 4y.

The radius r is equal to x in this case, so C = 2πx.

The volume of the shell will be given by V = 2πx(4y - 2)Δx.

To find the total volume, we integrate the volume of the shells over the interval x = a to x = b, where a and b are the x-values at which the curves r = 4y and y =\(x^3\) intersect.

The integral for the volume of the solid S is:

V = ∫[a, b] 2πx(4y - 2) dx

The actual integral limits a and b depend on the specific intersection points of the curves r = 4y and y = \(x^3,\) which would need to be determined before evaluating the integral.

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Answer:

Given,

side=4√5 millimetres

=4×4√5

=16√5

Perimeter= 16√5 milimetre

Area= side× side

=4√5 × 4√5

=80

Area= 80 square milimeters

------------------------------

hope it helps...

have a great day!

Answer:

Given,

side=4√5 mm

=4×4√5

=16√5

Perimeter= 16√5 mm

Area= side× side

=4√5 × 4√5

=80

Area= 80 square milimeters

------------------------------

hope it is helpful to you

stay safe healthy and happy

Answer:

1684.8 cubic units

Step-by-step explanation:

In oblique cylinder the height (altitude) is measured from the opposite base to the base of the cylinder, but it lies outside. We can find the height using Pythagoras theorem.

       h + 7² = 13²

              h²= 169 - 49

              h² = 120

               h = √120

                h = 10.95 units

radius = r = 7 units

\(\boxed{\text{\bf Volume of oblique cylinder = $\bf\pi r^2h$} }\)

                                                    = 3.14 * 7 * 7 * 10.95

                                                    = 1684.8 cubic units

Answer:

a. 54

b. 9.35

Step-by-step explanation:

a. First, divide 15.34 by 0.59 to find the number of songs you had to pay for.

15.34/0.59 = 26

then add it to the number of free songs you downloaded

26 + 28 = 54

b. divide 15.34 by 1.64

15.34/1.64 = 9.35

for c I would just multiply 1.65 by the usd exchange rate (1.64) which is 2.10 so you could afford 3 more songs but I don't know what equation exactly you would use or if what I did works.

Answer:

d

Step-by-step explanation:

because a - b is minus 1. and a - b is plus 2. rise over run equals -1 / 2. ur welcome

Answer: 91

is that a x or multiply?

Answer:

The surface area of the square pyramid is 40 units².

Step-by-step explanation:

As we know that the total surface area of a square pyramid can be obtained by identifying the length 'b' of its base and its slant height 's' by using the formula:

\(A=2bs+b^2\)

From the figure, it is clear that

substituting the values in the formula

\(A=2bs+b^2\)

\(A=2\left(4\right)\left(3\right)+\left(4\right)^2\)

    \(=2\left(4\right)\left(3\right)+16\)

    \(=40\)

Therefore, the surface area of the square pyramid is 40 units².

The type of triangle is △STR is isosceles triangle.

A triangle is a flat shape bounded by three sides. In another sense, a triangle is formed by three line segments called sides and each side intersects with two other sides.

When classified from its angles, triangles consist of acute triangles, right triangles, and obtuse triangles. Even so, the sum of the angles of a triangle is always 180 degrees. Based on the classification of its sides, triangles consist of equilateral triangles, arbitrary triangles, and acute triangles.

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To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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The new digital camera that creates photos that are best printed at 4 inches by 6 inches will minimize.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Since the aspect ratio of 4:6 is closer to that of an 11-inch by 14-inch frame (which is approximately 1:1.5) than the aspect ratio of 3.5:5 (which is approximately 7:10).

By minimizing the difference in aspect ratio between the photo and the frame, you will minimize the loss of the edges of the picture when trying to fit it into the frame.

The new digital camera that creates photos that are best printed at 4 inches by 6 inches will minimize the loss of the edges of the picture when trying to fit it into an 11-inch by 14-inch frame.

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Answer:

320 ounces

Step-by-step explanation:

64 3 1 1

x2 48 128

___ x4 +192

128 ___ ___

192. 320

M/3-6=-1

The answer is M=15 !!

Answer:

M= 15

Step-by-step explanation:

hope i got it right

The equation for the highest pitch heard by bats can be determined using the given information.

We know that the frequency of the pitch is 120,000 cycles per second. The formula for frequency is frequency = cycles / second. Let's substitute the given value into the formula:

frequency = 120,000 cycles / 1 second

Now, since period and frequency are reciprocals of each other, we can find the period by taking the reciprocal of the frequency:

period = 1 / frequency

Substituting the given frequency value into the equation:

period = 1 / 120,000 cycles/second

Simplifying the equation, we get:

period = 1 / 120,000 seconds/cycle

Therefore, the equation for the highest pitch heard by bats is period = 1 / 120,000 seconds/cycle.

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Answer:

40176

Step-by-step explanation:

124 * 324 = 40176

rttrrgttggfrg

Answer:

(2, - 3 )

Step-by-step explanation:

Given the 2 equations

y = - 3x + 3 → (2)

y = - 9x + 15 → (2)

Substitute y = - 3x + 3 into (2)

- 3x + 3 = - 9x + 15 ( add 9x to both sides )

6x + 3 = 15 ( subtract 3 from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

y = - 3(2) + 3 = - 6 + 3 = - 3

solution is (2, - 3 )

The length of the diagonal is 8√2 ft.

If the side of the square is 8 ft, then the diagonal will form a right triangle with legs of length 8 ft. We can use the Pythagorean theorem to find the length of the diagonal (hypotenuse).

Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

In this case, we have:

a = 8 ft (one leg)

b = 8 ft (the other leg)

c = ? (the hypotenuse)

Using the Pythagorean theorem, we have:

c² = a² + b²

c² = 8² + 8²

c² =  64 + 64

c² = 128

c = √128

c = 8√2 ft

Therefore, the length of the diagonal is 8√2 ft.

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We need to know about z-score to solve the problem. The z-score of the soda is 0.6

A z-score tells you how many standard deviations away an individual data falls from the mean. We can calculate z-score from the standard deviation and mean of the data. In this question we know that the cost of a soda is $1.15 and the mean is $1.00 and the standard deviation is $0.25.We need to calculate the z-score of the soda with the given information.

z-score=x-μ/σ=1.15-1.00/0.25=0.15/0.25=0.6

Therefore the z-score of the soda is 0.6

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Answer:

y = (-3/4)x -2

or: y = -0.75x -2

Step-by-step explanation:

First, find the slope of the line that it parallel to. Using equation

slope m = (y2-y1)/(x2-x1),

slope of line that passes through points (4, 0) and (0, 3)

= (3 - 0) /( 0-4)

= -3/4

Since the lines are parallel, both of them have the same slope, which is -3/4.

The point (0, -2) is actually the point of y -intercept (c) of the new line, so we can simply use the slope-intercept form to find the equation of line.

y = mx + c

y = (-3/4)x + (-2)

y = (-3/4)x -2

Answer:

2 For the most part this is all I have at the moment hope this helps

Step-by-step explanation:

Answer:

B. -5 + 6i

Hope this is right. Have a good day, and don't forget to be tiger fierce!! :)

Answer:

yes it is rational

Yes, a hole in a function is considered a type of discontinuity. A hole occurs when a point is missing from the graph of a function, which causes the graph to have a break in it.

A discontinuity is a break or jump in the graph of a function. A hole in a function is a type of discontinuity where a point is missing from the graph, causing the graph to have a break in it. This type of discontinuity is usually caused by a function having a denominator that is equal to zero, as this creates an undefined point on the graph. This can also occur when two parts of the function are not connected, causing an open gap in the graph. In both cases, the graph is not continuous and has a discontinuity at the point where the hole is present.

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Yes, the function has a hole in discontinuity.

The term function in math is called as a rule that gives value of a dependent variable that corresponds to specified values of one or more independent variables.

Here we to identify is a hole in a function a discontinuity.

the term discontinuity is defined as is discontinuous at a point if it becomes undefined or the limit at that point does not exist. And whether this point is known as the point of discontinuity.

While we looking the hole on a graph looks like a hollow circle. And which  represents the fact that the function approaches the point, here it is not actually defined on that precise value. Where the major reason why this function is not defined at is because is not in the domain of the function.

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