what is negative 5 plus 6​

Answer:

A. 424.12 \(in^{2}\)

Step-by-step explanation:

The volume for a cylinder is (pi)(r^2)(h)

\(\pi r^{2} h\)

radius = 3

height = 15

(pi) (9) (15)

135pi = 424.1150082 = 424.12

hope this helps :)

The area of the region bounded by

\[y=\frac{7}{(4+x)^2}+\frac{5}{7+x^2},\ y=0,\ x\ge5\]is 0.0188 (rounded to four decimal places).

Here's how to get the solution:

We are asked to find the area of the region bounded by the two curves.

The curves intersect at (5, 0) because x can not be less than 5.

They meet again at the point x ≈ 1.281.

Now, we must find the integrals for both functions in the given range.

We'll call the first function "f (x)" and the second "g (x)."

f(x) = 7 / (4 + x)² + 5 / (7 + x²)

g(x) = 0

The area between the two curves is obtained by finding the integral of the difference of the two functions.

The area is given by:

\[\int_{5}^{1.281} [f(x) - g(x)] dx\]

Since there is no point of intersection beyond x ≈ 1.281, we will use this value for the limit of integration.

Integrating:

\[\begin{aligned} &\int_{5}^{1.281} [f(x) - g(x)] dx \\ =& \int_{5}^{1.281} \left[\frac{7}{(x+4)^2}+\frac{5}{x^2+7}-0\right] dx \\ =& -\left[\frac{7}{4+x}+\sqrt{7}\tan^{-1}\left(\frac{x}{\sqrt{7}}\right)\right]_{5}^{1.281} \\ =& 0.0188. \end{aligned}\]

Thus, the area of the region is 0.0188.

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The total mass of the stars in Pair X is 16 times the total mass of the stars in Pair Y. This means that Pair X has a significantly greater total mass compared to Pair Y.

To understand why, let's consider the relationship between orbital period and total mass in binary star systems. According to Kepler's Third Law of Planetary Motion, the square of the orbital period (T) is proportional to the cube of the semi-major axis (a) of the orbit. Since the separation of the pairs is identical, we can assume that the semi-major axes are the same for both pairs.

Given that the orbital period of Pair X is 4 times that of Pair Y, the square of the orbital period of Pair X (T_x^2) is 16 times the square of the orbital period of Pair Y (T_y^2). Since the semi-major axes are the same for both pairs, the ratio of the total masses (M_x/M_y) will be the square root of the ratio of the orbital periods (T_x/T_y). Therefore, (M_x/M_y) = sqrt(T_x/T_y) = sqrt(4) = 2.

This implies that the total mass of Pair X is 2 times the total mass of Pair Y. Since the total mass of Pair X is 16 times the total mass of Pair Y, we can conclude that Pair X has a total mass that is 16 times greater than Pair Y.

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The linear equation to predict the number of millions of people p who will be using broadband internet services in year t isp = 0.7t - 1381.9

The task requires us to write a linear equation to predict the number of millions of people p who will be using broadband internet services in year t.

The given data is in the form of two coordinate points; (1992, 12.5) and (1999, 17.4).

Let us use the slope-intercept form of a linear equation: y = mx + b, where y represents p (the dependent variable), m is the slope, x represents t (the independent variable), and b is the y-intercept.

The slope is determined by the formula:m = (y2 - y1)/(x2 - x1)Where (x1, y1) = (1992, 12.5) and (x2, y2) = (1999, 17.4).m = (17.4 - 12.5)/(1999 - 1992)m = 4.9/7m = 0.7.

Now, we can use the slope m to write the equation:p = 0.7t + b.

To determine b, we can use one of the coordinate points. Let us use (1992, 12.5).12.5 = 0.7(1992) + b12.5 = 1394.4 + bb = -1381.9.
Therefore, the linear equation to predict the number of millions of people p who will be using broadband internet services in year t isp = 0.7t - 1381.9.

ABroadband internet services are one of the most used services by people today. In 1992, about 12.5 million people were using broadband internet services.

In 1999, the number increased to 17.4 million. To predict the number of millions of people who will be using broadband internet services in a particular year, we can use a linear equation. Linear equations can be written in slope-intercept form as y = mx + b, where y represents the dependent variable, m is the slope, x represents the independent variable, and b is the y-intercept.

Using the given data, we can calculate the slope by the formula m = (y2 - y1)/(x2 - x1). We get m = 0.7. The y-intercept can be calculated by using one of the coordinate points.

Using the point (1992, 12.5), we get b = -1381.9. Thus, the linear equation is p = 0.7t - 1381.9. This equation can be used to predict the number of millions of people who will be using broadband internet services in a particular year.

For example, if we want to predict the number of people who will be using broadband internet services in 2025, we can substitute t = 2025 in the equation and calculate p.

The linear equation can also be used to estimate the rate of increase of broadband internet services in a particular country or region.

Thus, we have written a linear equation to predict the number of millions of people p who will be using broadband internet services in year t. We have also discussed the importance of broadband internet services and how the equation can be used to predict the number of people who will be using these services in a particular year.

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Answer:

63.75 litres

Step-by-step explanation:

the original amount of water is 100%

then a reduction of 15% = 100% - 15% = 85% of original

multiply 75 litres by 85% to obtain reduction

75 × 85%

= 75 × \(\frac{85}{100}\) = 75 × 0.85 = 63.75

75 litres reduced by 15% = 63.75 litres

The center of the given ellipse is given as (-1, 2)

Center of the Ellipse

To find the center of the ellipse, we need to rearrange the equation into the standard equation of ellipse.

\(4x^2 + 9y^2 + 8x - 36y + 4 = 0\\\frac{(x+1)^2}{2} + \frac{(y-2)}{4} = 1\)

The center of the ellipse is given as

\(center = (-1, 2)\)

The foci of the ellipse  are the reference points in an ellipse and it helps to derive the equation of the ellipse. There are two foci for the ellipse i.e F1 and F2

\(F_1= (-1 + \sqrt{5}, 2)\\ F_2 = (-1, -\sqrt{5}, 2)\)

The center of the given ellipse is (-1,2) while the foci are stated above.

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Answer:

3/8

Step-by-step explanation:

slope = rise/run = 3/8

There are three points given: (-4, 1), (3, -3), and (8, -3). Click on the "Point" tool to plot each of these points on the graph. Once you have plotted all three points, use the "Select" tool to connect the dots and form the graph of the function h(x).

As a text-based AI, I'm unable to use drawing tools or directly interact with graphical interfaces. However, I can provide guidance on how to plot the given function h(x) on the graph in three parts. 1. For x < -3, h(x) = -4. To plot this, use the drawing tools to draw a horizontal line at y = -4 that extends to the left from the point (-3, -4). Make sure to use an open point at (-3, -4) to indicate that this point is not included in the graph for x < -3. 2. For x > -3, h(x) = 3x + 5. This is a linear function with a slope of 3 and a y-intercept of 5. To plot this, first locate the y-intercept on the graph at the point (0, 5). From there, use the slope (rise over run) to find another point on the line by going up 3 units and right 1 unit to the point (1, 8). Then, draw a ray that extends to the right, connecting these points and continuing infinitely. Use an open point at (-3, 5) to indicate that this point is not included in the graph for x > -3.

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Answer:

23+9y

Step-by-step explanation:

hope that helped :)

(46 + 7y) is equivalent to the linear expression((10 +13)2 + 7y).

What is the general form of a linear expression?

Ax + By + C is the general form of a linear expression. Here, x and y are variables and A, B, and C are constants.

Given,

(10 +13)2 + 7y)

= 23 × 2 + 7y

= 46 + 7y

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The linear equation is y = (1/7)*x + 11/7.

The general linear equation is:

y = a*x + b

Where a is the slope.

Here we know that a = (1/7), then the line is:

y = (1/7)*x + b

We also know that the line contains the point (-4, 1), this means that when x = -4, we must have y = 1.

Replacing that, we get:

1 = (1/7)*(-4) + b

1 + 4/7 = b

7/7 + 4/7 = b

11/7 = b

So the linear equation is:

y = (1/7)*x + 11/7.

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The equation of the linear function of the line is: y = 1/7x + 11/7.

A linear function equation is modelled as, y = mx + b, where m is the slope and b is the y-intercept.

Slope (m) = 1/7, and the line passes through (-4, 1), therefore, substitute (x, y) = (-4, 1) and m = 1/7 into y = mx + b:

1 = 1/7(-4) + b

1 = -4/7 + b

1 + 4/7 = b

11/7 = b

b = 11/7

Plug in the values of m and b into y = mx + b:

y = 1/7x + 11/7

The equation of the linear function is: y = 1/7x + 11/7

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Step-by-step explanation:

25 cents = $0.25

the ratio is 5/0.25 (5 dates for $0.25)

now we need to convert this to $5 in the denominator. and we need to multiply the numerator with the same factor.

and then the numerator will tell us how many dates we get for $5 in the denominator.

0.25 × x = 5

x = 5/0.25 = 20

indeed, 20 quarters = $5

so, we do

5/0.25 × 20/20 = 100/5

that means we can buy 100 dates for $5.

The Answer is ...

f = 27

Answer:

5/1

Step-by-step explanation:

Answer:

5/1

Step-by-step explanation:

Answer:

the answer is b wait I can also be c and d

Answer:

A. 37°

Step-by-step explanation:

Answer:

10) 1/2 lao per minute

11) 15 grams per serving

Step-by-step explanation:

10)

laps per minute

The laps are increasing by 1 as the minutes are increasing by 2

11)

The grams are increasing by 15 as the servings are increasing by 1

Answer:

avg speed= total distance / total time

total time= 0.5+1.5= 2 h

d1= v1 t1=1.5×3=4.5

d2=v2t2

v2=x...let

d2=0.5x

atq....4.5+0.5x/2= 4

4.5+0.5x=8

x= v2=7mph

Answer:

7 mph

Step-by-step explanation:

The statement is true. In the context of vector calculus, the dot product between two vectors u and v is defined as the product of their magnitudes and the cosine of the angle between them.

The dot product satisfies the distributive property and is linear with respect to scalar multiplication, which means that for any scalar c and vectors u and v, we have:

u · (cv) = c(u · v)

This equation states that taking the dot product between vector u and the scalar multiple cv is equivalent to multiplying u by the dot product between u and v scaled by c.

This property is useful in many applications of vector calculus, including the computation of work and the projection of vectors onto subspaces. It is also used in the definition of the norm and the inner product of vectors.

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Answer:

8 weeks

Step-by-step explanation:

433-145=288

288÷36=8

Answer:

16

Step-by-step explanation:

Given

To find the Value of 4 x 4

= 4 + 4 + 4 + 4

= 16

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Answer:

16

Step-by-step explanation:

i hope you know your worth it

Answer:

B) x <= -3

Step-by-step explanation:

B is the only answer that shows x being less than -3.

all of the other answers show x being greater than -3.

True. For simpler amount analysis and management, data can be grouped into classes that represent related categories.

Data can be grouped into groups in order to identify patterns, trends, and similarities that can then be utilised to influence decisions. As classes may be used to organise and make data easier to interpret, this can be very helpful when working with huge datasets. Classes can also be used to find outliers and abnormalities in data, which can improve results and offer more precise insights. With classes, data can be processed and analysed more quickly and correctly, enabling more effective decision-making.For simpler analysis and management, data can be grouped into classes that represent related categories. With the process of categorising, data can be divided into smaller, easier-to-manage chunks for easier analysis.

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Answer:

D. 1800

Step-by-step explanation:

An overestimate is pretty self-explanatory, an amount bigger than what it's supposed to be.

Multiplying 22 * 68

1496

Rounding it will give you 1500, but the overestimate would be 1800. Because its a respected amount that is close to the answer of 22 * 68.

Answer:

x:b116.67

Step-by-step explanation:

120/100

140×100/120

Answer:

122.

Step-by-step explanation:

nthe term = a1 + d(n - 1) so here:

20th term = -30 + 8(20 - 1)

- 30 +  152

= 122.

Answer:

1464*.34=amount of students

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The Image Below

Step-by-step explanation:

Step 1 : translate 2 up

(2,-2) ----} (2,0)

Step 2: rotate 90 degree counterclockwise about the origin.

The image of (2, -2) after translating 2 units up and rotating 90 degrees counter clock wise about the origin is (0, 2).

A translation is the shifting of a figure from one place to another without rotating, reflecting or changing its side.

When a point (x, y) is translated then the new point after the translation will be (x + h, y + k) where h is the horizontal change and k is the vertical change. A downward or leftward translation will be negative. And an upward or rightward translation will be positive.

A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.

When a point (x, y) is rotated 90 degrees counter clock wise then the new obtained point will be (-y, x).

According to the given question.

We have a point (2, -2).

Now, when the given point (2, -2)  is translated 2 units up then the translated point will be (2, -2+2) i.e. (2, 0).

And when (2, 0) is rotated 90 degrees counter clock wise about the origin then the rotated point will  be (0, 2).

Therefore, the image of (2, -2) after translating 2 units up and rotating 90 degrees counter clock wise about the origin is (0, 2).

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Answer:

10

Step-by-step explanation:

12-6+4

Answer:

\(\Huge\boxed{B.18.610}\)

Step-by-step explanation:

Hello There!

We can find y by using trigonometric ratios

sine, cosine and tangent

\(tan= \frac{opposite}{adjacent}\)

the opposite of the angle that has a measure of 28 degrees is y and the side that is adjacent to the angle is 35

so...

\(tan28=\frac{y}{35}\)

now we solve for  y using basic algebra

we want to isolate the variable (y) using inverse operations

to get rid of the 35 we multiply each side by 35

\(\frac{y}{35} =y\\tan28*35=35tan28\)

now we let the calculator do the rest of the work

\(35tan(28)=18.60983011\)

*round to the nearest thousandth*

we're left with

y = 18.610

hence your answer is B