-3(3 - 10x)
Please Solve

Answer:

4/5

Step-by-step explanation:

rise over run, up 4 over 5

Answer:

\(158\)\(cm^2\)

Step-by-step explanation:

Since the formula is \(2(wl+hl+hw)\), we can simply plug in the lengths.

Once calculated, the answer is \(158cm^2\).

Hope it helped!

Answer:

  158 cm²

Step-by-step explanation:

You want the surface area of a rectangular prism whose net is shown.

The surface area of the prism is the area of the net. That area is the sum of the areas of the rectangles that make it up. The rectangles come in pairs that have the same area.

Down the middle we have two pairs of rectangles. One pair is 8 cm wide and 3 cm high; the other is 8 cm wide and 5 cm high. Together the area of those four rectangles is ...

  2(8 cm)(3 cm +5 cm) = 2(64 cm²) = 128 cm²

The "wings" of the net are rectangles that are 3 cm by 5 cm, so their total area is ...

  2(3 cm)(5 cm) = 30 cm²

The area of the net is then ...

  surface area = 128 cm² +30 cm²

  surface area = 158 cm²

__

Additional comment

If you like, you can use the area formula. It will tell you the same thing for this 3 × 5 × 8 cm prism.

  SA = 2(LW +H(L +W)) = 2(3·5) +8(3 +5)) = 2(15 +8·8) = 2(79) = 158 . . . cm²

it is a right triangle lengths 6 8 and 10.

In this issue:

Then:

\(& 6^2+8^2=10^2 \\\)

\(& 36+64=100 \\\)

\(& 100=100\)

Identity, so it is a right triangle.

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Answer:

y = 85°

z = 35°

x = 60°

Step-by-step explanation:

y) 180 - 120 = 60, therefore:

180 - (35 + 60)

=> y = 85

z)

=> z = 35

x)

180 - (35 + 85)

=> x = 60

Hope this helps!

Answer:

to find y

you find the bottom right angle

which is 180-120 = 60

then you do 60+35 = 95

then 180 -95 because the sum of all angles in a triangle is 180

so the answer is 85 = y

There is a rule where the alternate angles between the parallel lines are identical

if y = 85 that means that the angle next to 35 is 85

same for angle z, if the top right 35, that means that angle z = 35

Now you add 35 + 85 = 120

180 - 120 = 60 = angle x

In summary

x=60

y=85

z=35

Hope that answers your question

Don't hesitate to leave a comment if you are confused about something

Step-by-step explanation:

Answer:

22.36

or 559/25

or 22 9/25

Step-by-step explanation:

Calculator

The graph of function h is the graph of g vertically shifted up 1 unit

Given data ,

Let the parent function be represented as g ( x )

Now , g ( x ) = x²

And , the transformed function is h ( x )

where h ( x ) = g ( x ) + 1

And , Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

The function h(x) = g(x) + 1 takes the output of g(x) and adds 1 to it. This means that every point on the graph of h will be 1 unit higher than the corresponding point on the graph of g

Hence , the transformation is vertical shift by 1 unit

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After 4 hours, the distance between Jasmine and Ron is increasing at a rate of 54 mi/h.

To find the rate at which the distance between Jasmine and Ron is increasing after four hours, we need to use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the distance between them and their respective speeds.

The distance between them after 4 hours is given by the square root of the sum of the squares of their respective distances traveled:

\(\sqrt{((42 * 4)^2 + (56 * 4)^2)}\)

The rate at which this distance is increasing is equal to the magnitude of the velocity vector of their relative motion, which can be found using the hypotenuse formula:

\(\sqrt{(42^2 + 56^2)} = \sqrt{(2916) }= 54 mi/h\)

So, after 4 hours, the distance between Jasmine and Ron is increasing at a rate of 54 mi/h.

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Answer:

m = 2

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

(2, 4), (6, 12)

We see the y increase by 8 and the x increase by 4, so the slope is

m = 8/4 = 2

So, the slope of the line is 2

The label on the cone that represents the diameter of the cone is the letter C

From the figure in the complete question, the line C divides the base circle into two equal segments

The above is the same as the definition of the diameter

Hence, the label that represents the diameter of the cone is the letter C

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Answer:

C is the correct Answer

Step-by-step explanation:

1. None, it makes a cylinder

2. C

3. B

4. A

The partial derivative diffusivity equation for spherical flow is ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t, and for hemispherical flow, it is the same equation.

1. The partial derivative diffusivity equation for spherical flow is derived from the spherical coordinate system and applies to radial flow in a spherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

2. The partial derivative diffusivity equation for hemispherical flow is derived from the hemispherical coordinate system and applies to radial flow in a hemispherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

1. For the derivation of the partial derivative diffusivity equation for spherical flow, we consider a spherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the polar angle (φ). By assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in spherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

2. Similarly, for the derivation of the partial derivative diffusivity equation for hemispherical flow, we consider a hemispherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the elevation angle (ε). Again, assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in hemispherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

In both cases, the term ϕμC/k ∂p/∂t represents the source or sink term, where ϕ is the porosity, μ is the fluid viscosity, C is the compressibility, k is the permeability, and ∂p/∂t is the change in pressure over time.

These equations are commonly used in fluid mechanics and petroleum engineering to describe radial flow behavior in spherical and hemispherical geometries, respectively.

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The first five terms of the sequence, which are 1, 3, 4, 7, and 11.

The formula for f(n) states that the nth term in the sequence is equal to the sum of the previous two terms, f(n-1) and f(n-2). This means that each term in the sequence is dependent on the two previous terms.

Starting with the first two terms, f(1) = 1 and f(2) = 3, we can use the formula to find the next terms in the sequence. For example, to find f(3), we add f(2) and f(1): f(3) = f(2) + f(1) = 3 + 1 = 4.

f(1) = 1

f(2) = 3

f(3) = f(2) + f(1) = 3 + 1 = 4

f(4) = f(3) + f(2) = 4 + 3 = 7

f(5) = f(4) + f(3) = 7 + 4 = 11

So, the first five terms of the sequence are 1, 3, 4, 7, and 11.

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Answer: (c)

Step-by-step explanation:

Given

The inequality is \(7y+1<8y-9\\\)

Solving the above inequality

\(\Rightarrow 7y+1<8y-9\\\\\Rightarrow 1+9<8y-7y\\\\\Rightarrow 10<y\ \text{or}\\\\\Rightarrow y>10\)

Thus, option (c) is correct.

There are 863,040 ways to elect a president, vice president, secretary, and treasurer from a club of 32 members.

We can solve this problem using the concept of permutations.
To elect a president, vice president, secretary, and treasurer from a club of 32 members, we need to find the number of possible arrangements.

This can be calculated using the formula for permutations: nPr = n! / (n - r)!,

where n is the total number of members and r is the number of positions to fill.
In this case, n = 32 (total members) and r = 4 (president, vice president, secretary, and treasurer).
Calculate the factorials for n and (n - r)
32! = 32 × 31 × 30 × ... × 2 × 1
28! = 28 × 27 × 26 × ... × 2 × 1
Apply the permutation formula
32P4 = 32! / (32 - 4)!
32P4 = 32! / 28!
Calculate the final answer
32P4 = (32 × 31 × 30 × 29 × 28!) / 28!
32P4 = 32 × 31 × 30 × 29.
32P4 = 863,040.

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Probability of having exactly 10 days of precipitation in the month of April is 0.097.The probability of having less than three days of precipitation in the month of April is 0.164.The probability of having more than 15 days of precipitation in the month of April is 0.0011.

The probability of having exactly 10 days of precipitation in the month of April:Probability, denoted as P, is defined as the ratio of the number of ways an event can occur to the total number of outcomes. In other words, probability is a measure of how likely it is that an event will occur. Therefore, the probability of having exactly 10 days of precipitation in the month of April is:P (precipitation for 10 days) = Number of days with precipitation on 10 days / Total number of days in April.

Let p be the probability of precipitation on a given day in April, since there are only two possible outcomes, either precipitation or no precipitation, then q = 1 - p. Also, since there are 30 days in April, then the total number of possible outcomes is 230.Hence, the probability of having exactly 10 days of precipitation in April is given by:P (precipitation on 10 days) = (30 C 10)p10 q20Where p = 7/30 and q = 1 - 7/30 = 23/30Then,P (precipitation on 10 days) = (30 C 10) * (7/30)10 * (23/30)20 ≈ 0.097.

What is the probability of having less than three days of precipitation in the month of April?The probability of having less than three days of precipitation in the month of April can be calculated as:P (precipitation less than 3 days) = P (0 days) + P (1 day) + P (2 days)Again, let p be the probability of precipitation on a given day in April, and q = 1 - p. Also, the total number of days in April is 30.

Therefore, the probability of having less than three days of precipitation in the month of April is:P (precipitation less than 3 days) = (30 C 0)p0 q30 + (30 C 1)p1 q29 + (30 C 2)p2 q28Where p = 7/30 and q = 1 - 7/30 = 23/30Then,P (precipitation less than 3 days) = (30 C 0) * (7/30)0 * (23/30)30 + (30 C 1) * (7/30)1 * (23/30)29 + (30 C 2) * (7/30)2 * (23/30)28 ≈ 0.164.

What is the probability of having more than 15 days of precipitation in the month of April?Similarly, let p be the probability of precipitation on a given day in April, and q = 1 - p. Also, the total number of days in April is 30.

The probability of having more than 15 days of precipitation in the month of April can be calculated as:P (precipitation more than 15 days) = P (16 days) + P (17 days) + ... + P (30 days)Then,P (precipitation more than 15 days) = ∑k=16n (30 C k)pk q30-kwhere n is the number of days and pk = (7/30) and qk = (23/30)Therefore,P (precipitation more than 15 days) = ∑k=16^30 (30 C k) * (7/30)k * (23/30)30-k ≈ 0.0011.

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Answer: Well 75 degrees. Because the Complementof an angle is The X is 90 which is 90-x. Then the measured angle A is 60 more than its complement

Step-by-step explanation:

The average speed of the new train is greater than that of the old train by 50%.

Let's assume that the old train traveled a distance of "d" in "t" time, with an average speed of "s" (where s = d/t).

The new train travels 20% further than the old train, which means it travels a distance of 1.2d. It also travels this distance in 20% less time than the old train, which means it takes 0.8t time to cover the distance.

So, the average speed of the new train is (1.2d)/(0.8t) = 1.5d/t.

The percent increase in average speed of the new train compared to the old train is:

[(1.5d/t - s)/s] x 100%

Substituting s = d/t, we get:

[(1.5d/t - d/t)/(d/t)] x 100%

Simplifying the expression, we get:

(0.5d/t) x 100%

Therefore, the average speed of the new train is greater than that of the old train by 50%.

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Answer:

El costo es:

Primero tenemos un cargo fijo de $140.

Luego tenemos un $25 por cada m^3 consumido.

Entonces, si tenemos x m^3 consumidos en un mes, el cargo de ese mes va a ser:

C(x) = $140 + $25*x.

Esto es una relación linear.

A) En este caso tendríamos x = 140

C(140) = $140 + $25*140 = $3640

B) La formula es, como ya escribimos arriba, C(x) = $140 + $25*x.

C) El grafico estará al final.  En el podemos ver que la linea corta el eje vertical en y = $140, que seria lo minimo que se puede pagar al mes, en el caso de que el consumo sea x = 0.

D) La ordenada al origen es $140, representa el cargo fijo que no depende de la variable x.

Answer:

y = 24 /x

The operations used were: Multiplication and Division

Step-by-step explanation:

Let the number of students who shared the basket = x

Amount of oranges = y

Some students equally share 2 baskets of oranges. Each basket has 12 oranges.

The total number of oranges in basket = 2 baskets × 12 oranges

= 24 oranges

Therefore, the algebraic expression to represent this situation is written as:

y = 24 /x

The operations used were: Multiplication and Division

Answer:

Yes

Step-by-step explanation:

Question

The factorization of given expression is − z − 9 =  -(√z + 3i) (√z - 3i).

In order to factorise a polynomial, known algebraic identities such as (a +b)² = a² + 2ab + b², (a - b)² = a² - 2ab + b²,  (a + b)(a - b) = a²- b² etc can be used.

One another way is to find a real number a for a polynomial p(x) such that p(a) = 0. Then, x - a is the factor of p(x) and the remaining factors can be found by dividing p(x) by x - a.

Given expression is as below,

-z - 9

It can be written as,

-(z + 9)

= -(z - (-9))

Now, in order to factorise it write it in the form of (a + b) (a - b) = a² - b².

z can be written as (√z)² and -9 as (3i)².

Thus, the given expression can be written as,

-(z - (-9))

= -((√z)²- (3i)²)

= -(√z + 3i) (√z - 3i)

Hence, the given expression can be factorized as -(√z + 3i) (√z - 3i).

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Answer:

$ 204

Step-by-step explanation:

f(x)=8(x-2)

if i did this right then you would substitute 30 in for x------------8 (30-2) - 20

next you would multiply 8 times 30 and 8 times -2 and you would get 240-16-20

then you would subtract and get....................... 204

hope this helps if not then pls know that i tried

Answer:

6.75

Step-by-step explanation:

The term 6.75 is within absolute value bars. These bars force any term inside of them to be positive. Since 6.75 is already positive, the bars have no effect.

The term 6.75 is already simplified.

If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.

Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.

Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.

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TRUNCATED to one decimal place, it's 50.2

ROUNDED to one decimal place, it's 50.3

The round-off of 50.272 to 1 decimal place using rules of rounding

numbers are 50.3.

Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.

Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.

So, 50.272 becomes 50.3 when rounded to one decimal place.

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Standard deviation of the following data is 0.655.

The standard deviation is equal to the variance's positive square root. It is a fundamental statistical analysis method. The amount by which data values deviate from the mean is referred to as "standard deviation," or "SD."

Whereas a big standard deviation implies that the values are much outside the mean, a low standard deviation shows that the values are frequently only a few standard deviations from the mean.

Here in the question,

Total kids = 20.

Mean = 9+9.5+9.5+10+10+10+10+10.5+10.5+10.5+10.5+11+11+11+11+11+11+11.5+11.5+11.5/20

= 10.52

Now square of distance between mean and ages.

(9-10.52) ² = 2.31

(9.5-10.52) ² = 1.04

(10-10.52) ² = 0.27

(10.5-10.52) ² = 0.0004

(11-10.52) ² = 0.23

(11.5-10.52) ² = 0.96

Now sum of all the differences = 2.31 + 1.04 + 1.04 + 4×0.27 + 4× 0.0004 + 6× 0.23+ 3×0.96

= 8.73

Now standard deviation = √8.73/20

= √0.43

= 0.655

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Answer:

the answer is d

Step-by-step explanation:

x is -2 and y is

Answer:

31

Step-by-step explanation:

f(-9) = -(-9)-5

= 9-5

= 4

f(-9) - 9(-3) = 4 - (-27)

= 31

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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