Simplify the following expression: 4x − 5y + 2z + y − 2x + z 2x − 4y + z 2x − 4y + 2z 2x − 4y + 3z 2x − 6y + 3z

Answer:

22.3<x<27.6

Step-by-step explanation:

X=greater than a number but less than another

22.3<27.6

Knowing that we can place 27.6 to the right of x and 22.3 to the left.

Hope this helps :)

Answer:

\(4.3<x<50.9\)

Step-by-step explanation:

To find our Inequality sentence we have to add the largest number with the smaller much

\(27.6+23.3=50.9\)

To find the second part of our inequality sentence we have to subtract the larger number from the smaller number

\(27.6-23.3=4.3\)

Our inequality sentence is               \(4.3<x<50.9\)

Brainliest please

The figure shows intersecting lines k and m, the measure of angle a is 94 degrees.

What are parallel lines ?

parallel lines can be defined as the lines which are equi distant from each other and which never meet or intersect each other.

Given,

In the figure the lines k and m are intersecting.

so,

by adding 86 degrees with a it should result into 180 degrees.

86+a  = 180

a = 180 - 86

a = 94

Hence, The figure shows intersecting lines k and m,  the measure of angle a is 94 degrees.

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Answer:

Here are the angles in each quadrant with a common reference angle of 165°:

First quadrant: angle is 15° (subtract 165° from 180°)

Second quadrant: angle is 195° (subtract 165° from 180° and add the result to 180°)

Third quadrant: angle is 195° (subtract 165° from 180° and then subtract the result from 180°)

Fourth quadrant: angle is 195° (subtract 165° from 360°)

Answer:

B

Step-by-step explanation:

hello the question is if it took 12 men 5 hours to build an age is working at the same rate how many additional men could have been hired in order for the job to have taken 1 hour less ok so we have to find that how many extra may be required to complete the job for a strip 1 hour less than five hours that is 4 hours ok bye have to complete the airstrip in 4 hours and they have to find that how many experiment we have to required for that we will assume that let extra number of number of extra man bhi X show the number of men when we are finishing in it in 4 hours would be 12 + X ok

would be the number of men now and time required would be equal to 1 hour less than 5 hours that is 4 hours ok no from the given data we can say that one cares if strip x 12 men and fibres ok so all vacancy job correct so vacancy job per man are would be 1 divided by 12 in 25 this is the job or the amount of a strip that is completed when

one man works for one hour ok so this is the amount of the job that is done for men power and we have we have this number of men that are not want working and the number of hours that their working for so for one job we will need for one job would be best job per man per hour into number of men into number of hour ok and we have 1 equal to number of Doberman per Rs 1 by 2 11 25 and number of men we have already know that 12 + 6 is the number of men that we will require 12 + X number

forces were less than 5 that is 44 4312 so it would give us 12 + X / 3515 1 to 15 of this site it would give us 12 + X equal to 15 which implies X is equals to 15 - 12 and X is equals to 3 significant required 3 more men to complete the job in Porus dancer is 3 which is given is be in the question make you

Answer:

P(0) = 4C0 * 0.75⁰ * 0.25⁴ = 0.00390625 . = 0.004

P(1) = 4C1 * 0.75¹ * 0.25³ = 0.046875 . . . = 0.047

P(2) = 4C2 * 0.75² * 0.25² = 0.2109375 . . = 0.211

P(3) = 4C3 * 0.75³ * 0.25¹ = 0.421875 . . . = 0.422

P(4) = 4C4 * 0.75⁴ * 0.25⁰ = 0.31640625 . = 0.316

Check:

P(0) + P(1) + P(2) + P(3) + P(4) = 1 . . . ok

Step-by-step explanation:

Answer: -3/2

yeah use rise over run

Answer:

-2/3

Step-by-step explanation:

slope = rise/run

First find the y-intercept (point of crossing on the y-axis (the vertical one)), then find the next point that intercepts a box PERFECTLY, this next point is (4, -2)

Looking at the y-intercept's coordinates (0,1), count how many blocks down it takes to get to to 4 (2 blocks which is the RISE) and now count how many blocks to the right it takes to get to -2 (3 blocks)

Therefore it is 2/3 but it is also negative because it is going DOWN from left to right which is a negative decine

The graph of the function f(x) = 5(2)^x is an upward-sloping exponential curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing the x-axis.

The function f(x) = 5(2)^x represents exponential growth. Let's analyze its graph.

As x increases, the value of 2^x grows exponentially. Multiplying it by 5 further amplifies the growth. Here are a few key points to consider:

When x = 0, 2^0 = 1, so f(0) = 5(1) = 5. This is the y-intercept of the graph, meaning the function passes through the point (0, 5).

As x increases, 2^x grows rapidly. For positive values of x, the function will increase quickly. As x approaches positive infinity, 2^x grows without bound, resulting in the function also growing without bound.

For negative values of x, 2^x approaches zero. However, the function is multiplied by 5, so it will not reach zero. Instead, it will approach y = 0, but the graph will never touch or cross the x-axis.

The function is always positive since 2^x is positive for any value of x, and multiplying by 5 does not change the sign.

Based on these observations, we can conclude that the graph of f(x) = 5(2)^x will be an exponential growth curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing or touching the x-axis.

The graph will have a smooth curve that rises steeply as x increases. The rate of growth will be determined by the base, in this case, 2. The larger the base, the steeper the curve. The function will approach but never reach the x-axis as x approaches negative infinity.

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Answer:

12.74

Step-by-step explanation:

340/80=4.25

4.25*3=12.75

Answer 12.75

Answer:   It will take about 12.75 pounds of grass seed, if the square footage amounts in the question are correct,

Step-by-step explanation: To get unit rate, ft²/lb,  divide

80/3 = 26.667   square feet per pound

divide 340 by 26.667 = 12.749  Round to12.75  pounds required.

*These numbers are nowhere near real life amounts. 3 pounds of grass seed is normally enough for 800 to 1000 square feet.

Answer:

5(k+2) = (5 · k) + (5 · 2)

= 5k + 10

Answer:

5(k+2) = (5+ k+2 ) + (5 __k_ )

= _k_ + _2__ I may be wrong sorry

Answer:

2x^3+5x^2+2x

Step-by-step explanation:

x+2 x and 2x+1

The volume of a rectangular prism is solved by multiplying the height, width, and base. So to solve for the volume, it is (x^2+2x)*(2x+1) [just multiplies x+2 and x] 2x^3+5x^2+2x

Step-by-step explanation:

\(thank \: you\)

Answer:

Since the slope of KM and ST are different, they are not parallel

Step-by-step explanation:

Slope of line KM = \(\frac{5}{8}\)

 Slope of ST = \(-\frac{8}{5}\)

Determine whether the lines are perpendicular;

Solution:

We can use the slope of a line to determine whether they are perpendicular or parallel to one another.

Parallel lines do not meet one another

Perpendicular lines cross one another at an angle of 90°

Two lines are parallel if their slopes are the same;

  Since the slope of KM and ST are different, they are not parallel

Answer:

\(f(2\pi) = 32\pi^3 - 2\)

Step-by-step explanation:

Main steps:

Step 1: Use integration to find a general equation for f

Step 2: Find the value of the constant of integration

Step 3: Find the value of f for the given input

Step 1: Use integration to find a general equation for f

If \(f'(x) = g(x)\), then \(f(x) = \int g(x) ~dx\)

\(f(x) = \int [12x^2 - sin(x)] ~dx\)

Integration of a difference is the difference of the integrals

\(f(x) = \int 12x^2 ~dx - \int sin(x) ~dx\)

Scalar rule

\(f(x) = 12\int x^2 ~dx - \int sin(x) ~dx\)

Apply the Power rule & integral relationship between sine and cosine:

\(f(x) = 12*(\frac{1}{3}x^3+C_1) - (-cos(x) + C_2)\)

Simplifying

\(f(x) = 12*\frac{1}{3}x^3+12*C_1 +cos(x) + -C_2\)

\(f(x) = 4x^3+cos(x) +(12C_1 -C_2)\)

Ultimately, all of the constant of integration terms at the end can combine into one single unknown constant of integration:

\(f(x) = 4x^3 + cos(x) + C\)

Step 2: Find the value of the constant of integration

Now, according to the problem, \(f(0) = -2\), so we can substitute those x,y values into the equation and solve for the value of the constant of integration:

\(-2 = 4(0)^3 + cos(0) + C\)

\(-2 = 0 + 1 + C\)

\(-2 = 1 + C\)

\(-3 = C\)

Knowing the constant of integration, we now know the full equation for the function f:

\(f(x) = 4x^3 + cos(x) -3\)

Step 3: Find the value of f for the given input

So, to find \(f(2\pi)\), use 2 pi as the input, and simplify:

\(f(2\pi) = 4(2\pi)^3 + cos(2\pi) -3\)

\(f(2\pi) = 4*8\pi^3 + 1 -3\)

\(f(2\pi) = 32\pi^3 - 2\)

Answer:

\(f(2 \pi)=32\pi^3-2\)

Step-by-step explanation:

\(\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))\)

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.

Given:

If g(x) is the first derivative of f(x), we can find f(x) by integrating g(x) and using f(0) = -2 to find the constant of integration.

\(\boxed{\begin{minipage}{4 cm}\underline{Integrating $x^n$}\\\\$\displaystyle \int x^n\:\text{d}x=\dfrac{x^{n+1}}{n+1}+\text{C}$\end{minipage}}\)     \(\boxed{\begin{minipage}{4 cm}\underline{Integrating $\sin x$}\\\\$\displaystyle \int \sin x\:\text{d}x=-\cos x+\text{C}$\end{minipage}}\)

\(\begin{aligned} \displaystyle f(x)&=\int f'(x)\; \text{d}x\\\\&=\int g(x)\;\text{d}x\\\\&=\int (12x^2-\sin x)\;\text{d}x\\\\&=\int 12x^2\; \text{d}x-\int \sin x \; \text{d}x\\\\&=12\int x^2\; \text{d}x-\int \sin x \; \text{d}x\\\\&=12\cdot \dfrac{x^{(2+1)}}{2+1}-(-\cos x)+\text{C}\\\\&=4x^{3}+\cos x+\text{C}\end{aligned}\)

To find the constant of integration, substitute f(0) = -2 and solve for C:

\(\begin{aligned}f(0)=4(0)^3+\cos (0) + \text{C}&=-2\\0+1+\text{C}&=-2\\\text{C}&=-3\end{aligned}\)

Therefore, the equation of function f(x) is:

\(\boxed{f(x)=4x^3+ \cos x - 3}\)

To find the value of f(2π), substitute x = 2π into function f(x):

\(\begin{aligned}f(2 \pi)&=4(2 \pi)^3+ \cos (2 \pi) - 3\\&=4\cdot 2^3 \cdot \pi^3+1 - 3\\&=32\pi^3-2\\\end{aligned}\)

Therefore, the value of f(2π) is 32π³ - 2.

Answer:

  XY is tangent to circle Z

Step-by-step explanation:

You want to know if segment XY, measuring 3.6 units, is tangent to circle Z at point X. Segment YZ has length 1.8 units outside the circle, which has radius 2.7 units.

If the triangle XYZ is a right triangle, then we have ...

  XY² +XZ² = YZ²

  3.6² +2.7² = (1.8 +2.7)²

  12.96 +7.29 = 20.25 . . . . . true

Segment XY is a tangent.

If segment YZ is extended across the circle, the lengths of the segments from Y to the circle intersection points are 1.8 and (1.8 +2·2.7) = 7.2. The relation between the secant and the "tangent" will be ...

  3.6² = (1.8)(7.2) . . . . . true

This means XY is a tangent.

Answer:

u = -50

Step-by-step explanation:

First let's carry the -4 to the other side and get u/5 by itself

-14 = -4 + u/5

+4     +4

-10 = u/5

The next step is to try and get rid of the u, and in order to do that we have to multiply by 5 on both sides

-10 = u/5

*5       *5

-50 = u

So u should equal -50.

_____
You can also check this answer by plugging it back into the original problem

-14 = -4 -50/5

-14 = -4 -10

-14 = -14

The statement is true, so -50 is our answer for sure.

Hope this helps :)

The value of the expression is -4 5/12.

Given is an expression -7 2/3 + (-5 1/2) + 8 3/4, we need to simplify it,

So,

= -7 2/3 + (-5 1/2) + 8 3/4

= -23/3 - 11/2 + 35/4

Taking the LCM 12,

= (-92-66+105) / 12

= (-158+105) / 12

= -53/12

= -4 5/12

Hence the value of the expression is -4 5/12.

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Answer:

12

Step-by-step explanation:

Scale factor of 4

CD = 3

3 · 4 = 12

Length of C'D' is 12 units

Answer:

12 units

Step-by-step explanation:

The original segment CD = 3 units

Scale factor is 4.

3 x 4 = 12

The line must be 5000 meters long, to have an area of one square meter

The question is an illustration of area

The area of a shape is the amount of space occupied by the shape.

From the question, we have the following parameters

\(Area =1m^2\)

\(Width = 0.2mm\)

Convert the unit from mm to m

\(Width = 0.2 \times 0.001 m\)

\(Width = 0.0002 m\)

The area is then calculated as:

\(Area =Length \times width\)

This gives

\(1=Length \times 0.0002\)

Divide both sides by 0.0002

\(Length = 5000\)

Hence, the line must be 5000 meters long

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Answer:

C. -11

Step-by-step explanation:

f(x) = -2x - 5

Plug the 3 in for x

f(3) = -2(3) - 5

Multiply the -2 and 3

f(3) = -6 - 5

Subtract 5 from -6

f(3) = -11

Answer: C -11

Step-by-step explanation:

Its asking you to solve for f(x) which is Y

Y=-2x-5

X is 3

so replace -2x with 3 but only the x

you should get -23 not negative 23 its more of 2 times 3

then multiply -2 by 3 and get -6

add -6 and -5 to get -11

Step-by-step explanation:

2feet

feet

feet

feet

feet

feet

feet

2

2

2

2

2

2

The set (A U B) n (A U C) is {2, 5, 7, 10}. A.

To find the set (A U B) n (A U C), we first need to calculate the union of sets A and B, and then calculate the union of that result with set C. Finally, we find the intersection of these two sets.

Set A U B:

The union of sets A and B, denoted as A U B, is the combination of all elements from both sets without any repetitions.

A contains the elements 2, 5, 7, and 10, while B contains the elements 1, 2, and 3.

A U B consists of the elements {1, 2, 3, 5, 7, 10}.

Set (A U B) U C:

Next, we calculate the union of the set (A U B) with set C, denoted as (A U B) U C. A U B contains the elements {1, 2, 3, 5, 7, 10} and C contains the elements {1, 2, 3, 4, 5}.

Taking the union of these two sets results in {1, 2, 3, 4, 5, 7, 10}.

Finding the intersection:

Finally, we find the intersection of (A U B) U C with A U C. A U C consists of the elements {2, 5, 7, 10}.

The intersection of these two sets is the combination of common elements.

The common elements are {2, 5, 7, 10}.

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The polynomial expression that represents the perimeter is (3x^3 +3x -148)ft and the value is 182ft

Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable.

Perimeter of the triangle is the sum of the sides of the triangle which is = 2x^2 -120 + x^2 -5x +8x -28

Perimeter = (3x^2 +3x -148)ft

when x = 10

Perimeter = 3(10)^2 +3(10) -148 = 182ft

In conclusion the expression  (3x^2 +3x -148)ft is the expression for the perimeter of the triangle and the value is 182ft

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Answer:

An acute angle

Is there any answer choices??

9514 1404 393

Answer:

  200 m

Step-by-step explanation:

Let d represent the length of the track in meters. The relation of interest is ...

  time = distance/speed

Then the total time to run and walk back is ...

  60 = d/10 + d/5

  600 = d + 2d

  200 = d . . . . . . . divide by 3

The length of the track is 200 meters.

_____

200 m in 20 seconds is a world-record time for a woman; a very good time for a man.

The volume of the triangular prism as shown in the attached image is 30 cm³.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the height of the prism.

The area of the triangular base can be found using the formula:

Area = (1/2) × base × height

In this case, the base is 5 cm and the height is 4 cm, so the area of the triangular base is:

Area = (1/2) × 5 cm × 4 cm = 10 cm²

The height of the prism is 3 cm.

Therefore, the volume of the triangular prism is:

Volume = Area of triangular base × height

= 10 cm² × 3 cm

= 30 cm³

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

Explanation:

The angle 315 degrees is in the interval 270 < theta < 360. This places the angle in quadrant 4.

To get the reference angle, we subtract from 360

360-315 = 45

So the reference angle is 45 degrees. Because we're in quadrant 4, we'll need to remember the following

cosine is positive in quadrant 4

sine is negative in quadrant 4

Since sin(45) = cos(45) = sqrt(2)/2 after using the unit circle, this means

cos(315) = sqrt(2)/2 and sin(315) = -sqrt(2)/2

The terminal point is located at (sqrt(2)/2,   -sqrt(2)/2)

The cosine of the angle theta handles the x coordinate, while the y coordinate is handled by sine.

Answer:The terminal point is located at (sqrt(2)/2,   -sqrt(2)/2)

Step-by-step explanation:

The cosine of the angle theta handles the x coordinate, while the y coordinate is handled by sine.

Answer:

d

Step-by-step explanation:

Because you need to substitute the variable first, multiply that and add 8.

Answer:-4x^2-2x+46.

Step-by-step explanation:

To simplify this expression, you can start by distributing the negative sign to the first set of parentheses:

(-3)(x+4)(x-6)-(x^2+8x-10)

Then, you can distribute the -3 to the terms inside the first set of parentheses:

(-3x-12)(x-6)-(x^2+8x-10)

Then, you can combine like terms:

-3x^2+6x+36-x^2-8x+10

This simplifies to:

-4x^2-2x+46

Therefore, the expression that is equivalent to -3(x+4)(x-6)-(x^2+8x-10) is -4x^2-2x+46.

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The length of side AB is about 5.87 units.

The triangle ABC is a right angle triangle. A right angle triangle is a triangle that has one of its angles as 90 degrees.

Therefore, let's find the length AB in the right triangle.

Using trigonometric ratios,

cos 33 = adjacent / hypotenuse

Therefore,

Adjacent side = AB

hypotenuse side = 7 units

cos 33° = AB / 7

cross multiply

AB = 7 cos 33

AB = 7 × 0.83867056794

AB = 5.87069397562

AB = 5.87 units

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