could someone help me plz.


x/7=(-19)

b/7=5

a/10=(-9/10)

Answer:

21.4 m²

Step-by-step explanation:

To find the surface area of this whole triangular prism, we have to look at the bases (the triangles), find their surface area, then look at the sides (the rectangles) and find theirs.

Let's start with the triangles. The area of any triangle is \(\frac{bh}{2}\). The base of this triangle is 2m (because there are 2 one meters) and the height is 1.7m.

\(\frac{2\cdot1.7}{2} = \frac{3.4}{2} = 1.7\)

So the area of one of these triangles is 1.7m. Multiplying this by two, because there are two triangles in this prism:

\(1.7\cdot2=3.4\)

Now let's find the area of the sides.

The side lengths are 2 and 3, so

\(2\cdot3=6\), and there are 3 sides (including the bottom/floor) so \(6\cdot3=18\).

Now we add.

\(18+3.4=21.4\) m².

Hope this helped!

Answer: 21.4 square meters^2

Step-by-step explanation:

A coffee's temperature changed by -54°F in =

\( = 22\frac{1}{2} \: minutes\)

The temperature change in the coffee each minute :-

\( = - 54 \div 22\frac{1}{2} \)

\( = - 54 \div \frac{(2 \times 22 + 1)}{2} \)

\( = - 54 \div \frac{45}{2} \)

\( = - 54 \times \frac{2}{45} \)

\( = \frac{ (- 54 \times 2)}{ \: \: 45} \)

\( = \frac{ - 108}{ \: \: \: 45} \)

\(\color{magenta} = - 2.4°F\)

Therefore , the temperature change in the coffee each minute was = -2.4°F .

The largest number is -1

What is number ?

An arithmetic value known as a number is used to represent a quantity and do calculations. Numbers are represented by written symbols, such as "3," which are referred to as numerals. A number system is a method of writing that uses logically ordered digits or symbols to represent numbers.

An item in mathematics used for measurement, labeling, and counting is a number. The prime numbers 1, 2, 3, 4, and so forth are the original examples. Number words can be used to represent numbers in language.

Let the 4 consecutive integers are

x

x+1

x+2

x+3

x + (x+1) + (x+2) + (x+3) = -10

4x + 6 = -10

4x = -16

x = -4

The 4 consecutive integers are -4 , -3 , -2 , -1

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The total number of vertices a full 5-ary tree with 100 internal vertices have is 501.

A tree with m or less offspring at each node is known as an m-ary tree. When m = 2, a binary tree is the particular case, and a ternary tree, which has m = 3 and a maximum of three offspring, is another special case.

A m-ary tree with just a root node has a height of 0, as the height h of an m-ary tree does not include the root node. The maximum depth D of any tree node determines the height of the tree.

In computer science, a collection of nodes often represented hierarchically in the following way is referred to as a "m-ary tree." At the root node, the tree is initiated. A list of pointers to each node's child nodes is kept by each node in the tree. There are less than or as many child nodes as m.

It is given the m-ary tree as 5-ary tree (m)

And the number of Intervals = 100(i)

We can calculate the number of vertices by using

n = m*i + 1 = 100*5 + 1 = 501

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The value of each trigonometric identity is:

3/2

5/6

14/3

We have,

We will use the trigonometric formula and substitute the given values.

So,

Cosec θ

This can be written as,

= 1/ sin θ

= 1/(2/3)

= 3/2

And,

Sin θ

This can be written as,

= 1/ cosec θ

= 1/(6/5)

= 5/6

And,

Sec θ

This can be written as,

= 1/cosθ

= 1/(3/14)

= 14/3

Thus,

The value of each trigonometric identity is:

3/2

5/6

14/3

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Answer:

|4X + 6|

Step-by-step explanation:

The group S3 ⊕ Z2 is isomorphic to  Z12. This is determined by eliminating the other options through various properties and characteristics of the groups. So, the correct answer is A).

Let's first write down the orders of the given groups

S3 ⊕ Z2 has order 2 × 6 = 12.

Z12 has order 12.

Z6 ⊕ Z2 has order 6 × 2 = 12.

A4 has order 12.

D6 has order 12.

Since all the groups have the same order, we need to look for other properties to eliminate the possibilities.

Note that S3 has only one element of order 2, namely (1 2), and Z2 has only one element of order 2, namely 1. So, the group S3 ⊕ Z2 has exactly one element of order 2, namely (1, 1).

The group A4 has no elements of order 2, so it cannot be isomorphic to S3 ⊕ Z2.

The group D6 has six elements of order 2, so it cannot be isomorphic to S3 ⊕ Z2.

Now we are left with two possibilities: Z12 and Z6 ⊕ Z2. Note that Z12 has exactly one element of order 2, namely 6, while Z6 ⊕ Z2 has three elements of order 2, namely (0, 1), (3, 0), and (3, 1). Since S3 ⊕ Z2 has only one element of order 2, it cannot be isomorphic to Z6 ⊕ Z2.

Therefore, we conclude that S3 ⊕ Z2 is isomorphic to Z12. so, the correct option is A).

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Answer:

y = 4

Step-by-step explanation:

Using the slope, m = 5, and the given point, (1, -6), plug in these values into the point-slope formula:  

y - y1 = m(x - x1)

y - (-6) = 5(x - 1)

y + 6 = 5x - 5

Subtract 6 on both sides of the equation to isolate y:

y + 6 - 6  = 5x - 5 - 6

y= 5x - 11

Therefore, the linear equation in slope-intercept form is y = 5x - 11.  

To find the value of the y-coordinate in point (3, y ):

Plug in the value of x = 3 into the equation, y = 5x - 11

y= 5x - 11

y= 5(3) - 11

y = 15 - 11

y = 4

Therefore, the value of the y-coordinate in point (3, y) is 4.

There are no sign changes in the first column of the Routh array, therefore the system is stable.

Given: Characteristic equation for system `(a)`: 12s⁵ + 4s⁴ + 6s³ + 2s² + 6s + 4 = 0

Characteristic equation for system `(b)`: 12s⁵ + 8s⁴ + 18s³ + 12s² + 9s + 6 = 0

To determine the stability of the systems with the given characteristic equations, we need to find out the roots of the given polynomial equations and check their stability using Routh-Hurwitz criteria.

To find out the stability of the system with given characteristic equation, we have to check the conditions of Routh-Hurwitz criteria.

Let's discuss these conditions:1. For the system to be stable, the coefficient of the first column of the Routh array must be greater than 0.2.

The number of sign changes in the first column of the Routh array represents the number of roots of the characteristic equation in the right-half of the s-plane.

This should be equal to zero for the system to be stable.

There should be no row in the Routh array which has all elements as zero.

If any such row exists, then the system is either unstable or marginally stable.

(a) Let's calculate Routh-Hurwitz array for the polynomial `12s⁵ + 4s⁴ + 6s³ + 2s² + 6s + 4 = 0`0: 12 6 42: 4 2.66733: 5.6667 2.22224: 2.2963.5 0.48149

Since, there are 2 sign changes in the first column of the Routh array, therefore the system is unstable.

(b) Let's calculate Routh-Hurwitz array for the polynomial `12s⁵ + 8s⁴ + 18s³ + 12s² + 9s + 6 = 0`0: 12 18 62: 8 12 03: 5.3333 0 04: 2 0 05: 6 0 0

Since there are no sign changes in the first column of the Routh array, therefore the system is stable.

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Answer:

yes

Step-by-step explanation:

Each time it is divided by three!

The probability of completing the examination in 30 to 35 minutes is 0.4854, which can be calculated as \(1-e^{(-0.875)}+e^{-0.75}\).

The interval between occurrences in a Poisson process is modelled using the exponential distribution, a continuous probability distribution. It has a single parameter, the mean or expected value, which represents the average time between events.

In this case, the mean time to complete an examination is 40 minutes, so the rate parameter λ is 1/40 = 0.025. The exponential distribution's cumulative distribution function (CDF) is provided by:

F(x) = \(1-e^{(-\lambda x)}\)

This equation represents the probability that the time to complete the examination is less than or equal to x. To find the probability of completing the examination in the interval from 30 to 35 minutes, we need to find the difference between the cumulative probabilities at these two points:

F(35) - F(30) = \(1-e^{(-0.025 * 35)}\) \(-(1-e^{-0.025*30} )\)

= \(1-e^{(-0.875)}+e^{-0.75}\)

= \(1 - 0.4146 + 0.4700\)

= \(0.4854\)

So the probability of completing the examination in the interval from 30 to 35 minutes is 0.4854, which is equivalent to 48.54%.

Note that the exponential distribution is a memoryless distribution, which means that the past history of the process has no effect on the future. This property makes the exponential distribution well-suited for modeling the time between events in a Poisson process, where events are independent and occur at a constant average rate.

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Answer:

\(y = x - 8\)

Step-by-step explanation:

Slope-intercept form is:

\(y = mx + b\)

Where m = slope and b = y-intercept.

It is stated that the slope of the line is 1.

It is stated that the line includes the point (0, 8)

To find the y-intercept, we can just inverse the slope-intercept form to solve for b.

\(b =y-mx\)

We know that the point (8, 0) falls on the line, so that's what we'll use for x and y.

Then, we just have to plug those numbers in, as well as the slope.

\(b = 0 - (1)(8)\)

Simplify.

\(b = 0 - 8\)

Simplify again.

\(b = -8\)

Now, we know that b = -8.

All we have left is to plug the slope and y-intercept into the slope-intercept form.

\(y = x - 8\)

Answer:

$85

Step-by-step explanation:

5000 x $70 = $350,000

4950 x $71 = $351,450

4900 x $72 = $352,800

etc.

Create an equation for the monthly revenue:

f(n) = (5000 - 50n) x (70 + n)

     = 350000 + 5000n - 3500n - 50n²

     = 350000 + 1500n - 50n²

where n is the amount the ticket price is increased from $70.

Differentiate, equal to zero and solve for n to find the value of n when the monthly revenue is at its maximum:

f'(n) = 1500 - 100n

1500 - 100n = 0

1500 = 100n

15 = n

Therefore, the maximum monthly revenue is when n = 15.

So the cost of the ticket will be 70 + n = 70 + 15 = 85

Answer:

y=mx+b

Step-by-step explanation:

follow this equation

Answer:

<=> y/3 > 1/2 + 3/4

<=> y/3 > 5/4

<=> y > 5/4 / 1/3

<=> y > 15/4

Step-by-step explanation:

Step-by-step explanation:

\($\frac{y}{3}-\frac{3}{4}>\frac{1}{2}\\\)

We can see that the LCM of the denominators is 12, so, by multiplying the whole equation by 12, we can cancel out all of the fractions.

\($\frac{y}{3}(12)-\frac{3}{4}(12)>\frac{1}{2}(12)\)

\(4y-9>6\)

\(4y>15\)

\(y>\frac{15}{4}\)

The unit rate of 20 meters in 4 seconds is:

20 meters/4 seconds = 5 meters/second

Answer:

a 1+- square root of 10

Step-by-step explanation:

subtract 3 set equation to zero then do quadratic formula break it down then you 2 square root of 10 over 2 divide to get square root of 10 by itself 2 divided by 2 is 1 therefore leaves 1 ^^.

Answer:

1. 9x³

2.5b³

3.2d

4. 68x³

9514 1404 393

Answer:

Step-by-step explanation:

Factoring out the greatest common factor in each case, we can simplify the process of finding the non-zero solution. The solutions are the values of the variable that make the factors be zero.

1) 7x^2 +2x = 0 = (x)(7x +2)   ⇒   x = 0; x = -2/7

__

2) 5b^2 -10b = 0 = (5b)(b -2)   ⇒   b = 0; b = 2

__

3) 3d^2 -d = 0 = d(3d -1)   ⇒   d = 0; d = 1/3

__

4) 17x^2 +51x = 0 = 17x(x +3)   ⇒   x = 0; x = -3

The solution to the initial value problem is y(t) = (y0 - (1/17)) cos(4t) + [(y'0 + (1/17))/4] sin(4t) + (1/17) e^(-t).

The characteristic equation for the homogeneous part of the differential equation is r^2 + 16 = 0, which has solutions r = ±4i. Therefore, the general solution to the homogeneous equation is:

y_h(t) = c_1 cos(4t) + c_2 sin(4t)

To find a particular solution to the nonhomogeneous equation, we can use the method of undetermined coefficients. Since the forcing function is e^(-t), a reasonable guess for the particular solution is y_p(t) = Ae^(-t), where A is a constant to be determined. Taking the first and second derivatives of this function, we have:

y_p'(t) = -Ae^(-t)

y_p''(t) = Ae^(-t)

Substituting these expressions into the differential equation, we get:

Ae^(-t) + 16Ae^(-t) = e^(-t)

Simplifying this equation, we get A = 1/17. Therefore, the particular solution is:

y_p(t) = (1/17) e^(-t)

The general solution to the nonhomogeneous equation is then:

y(t) = y_h(t) + y_p(t) = c_1 cos(4t) + c_2 sin(4t) + (1/17) e^(-t)

Using the initial conditions y(0) = y0 and y'(0) = y'0, we can solve for the constants c_1 and c_2:

y(0) = c_1 cos(0) + c_2 sin(0) + (1/17) e^(0) = c_1 + (1/17) = y0

y'(0) = -4c_1 sin(0) + 4c_2 cos(0) - (1/17) e^(0) = 4c_2 - (1/17) = y'0

Solving these equations for c_1 and c_2, we get:

c_1 = y0 - (1/17)

c_2 = (y'0 + (1/17) )/4

Therefore, the solution to the initial value problem is:

y(t) = (y0 - (1/17)) cos(4t) + [(y'0 + (1/17))/4] sin(4t) + (1/17) e^(-t)

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Answer:

cos(240) = -1/2

sin(240) = -√3/2

Answer:

(-9,-3)

Step-by-step explanation:

When you are talking about in relation you do what I do.

Answer:

Bonjour, qui pourrait me donner la réponse de cette exercice s’il vous plaît c’est pour mon DM de maths.

Step-by-step explanation:

=========================================================

Explanation:

Break the 3D figure into two pieces:

The relevant formulas we need are:

where r and h are the radius and height respectively.

The cylinder has radius r = 5 and height h = 17.8

V = pi*r^2*h

V = pi*5^2*17.8

V = 445pi

The cone has the same radius, but the height is h = 24-17.8 = 6.2

V = (1/3)*pi*r^2*h

V = (1/3)*pi*5^2*6.2

V = (155/3)pi

The total volume is then,

445pi+(155/3)pi

(1335/3)pi + (155/3)pi

(1335/3 + 155/3)pi

(1490/3)pi

That's the exact volume of this pencil-shaped figure. This exact volume is in terms of pi.

----------

Now to compute the approximate volume.

If you were to use pi = 3.14, then the approximate volume is

(1490/3)pi = (1490/3)*3.14 = 1559.5333 cubic cm

Here's what my calculator shows when computing the expression.

(1490/3)pi = 1560.32435128293

The calculator has a stored version of pi with more digits for better accuracy.

Both of those results round to   1560  cubic cm     when rounding to the nearest cubic centimeter.

In the given diagram, ΔHIJ ≈ ΔFIG, the value of u in triangle FIG is calculated as: IG = 8 yd

A triangle is a geometric shape that is formed by three line segments that intersect at three non-collinear points. The three line segments are called the sides of the triangle, while the three points where they intersect are called the vertices of the triangle.

A triangle is a three-sided polygon formed by three line segments intersecting at three non-collinear points, and it can be classified based on the length of its sides and the measure of its angles.

∆HIJ similar to ∆FIG

HI/FI = IJ/IG

5/10 = 4/IG

IG = 8 yd

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In the given diagram, ΔHIJ ≈ ΔFIG, the value of u in triangle FIG is calculated as: IG = 8 yd

A triangle is a geometric shape that is formed by three line segments that intersect at three non-collinear points. The three line segments are called the sides of the triangle, while the three points where they intersect are called the vertices of the triangle.

A triangle is a three-sided polygon formed by three line segments intersecting at three non-collinear points, and it can be classified based on the length of its sides and the measure of its angles.

∆HIJ similar to ∆FIG
HI/FI = IJ/IG
5/10 = 4/IG
IG = 8 yd

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Answer: f(19) = 29/7.

Step-by-step explanation: 1. Replace x with 19 in the function. This gives you:

\(\frac{3}{19+2} - \sqrt{19-3}\)

2. Reduce these items to get:

\(\frac{3}{21} - \sqrt{16} \\\)

3. Reduce again:

\(\frac{1}{7} + 4 = \frac{1}{7}+\frac{28}{7} = \frac{29}{7}\)

4. However, be cautious. The full answer for this has a negative component (\(\frac{-27}{7}\)) because the square root of 16 can be either 4 or -4.

Answer:

Medium to Line AC

Altitude to Line AC

Bisector of Angle B

Perpendicular bisector of Line AC

Step-by-step explanation:

We can tell that the Medium here is from line AC to angle B. The line is connecting the angle to the middle of the line, making it the medium and altitude. It is also a bisector of angle B because it is directly in the middle of that angle. It is a perpendicular bisector to line AC because it forms a 90 degree angle on the bottom.

#teamtrees #WAP (Water And Plant)

Answer:

9

Step-by-step explanation:

three plus six equals nine

3+6=9

Answer:

d.32

Step-by-step explanation:

To get the Least Common Multiple (LCM) of 8 and 32 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:

8:   222    

32:   22222

LCM:   22222

The Least Common Multiple (LCM) is:   2 x 2 x 2 x 2 x 2 = 32

The least common multiple is = 32

The denominators are 8 and 32.

The multiples of 8 are = 8, 16, 24, 32, 40, ....

The multiples of 32 are = 32, 64, ....

So the least common multiple is = 32

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Step-by-step explanation:

-3(x+8)=-21

open the bracket

-3x-24=-21

-3x=-21+24

-3x=3

x=-3/3

x=-1

The answer to question 1/3 (-10)(9) is -30.

If this is incorrect, please, don't refrain to tell me. Thank you.