Write a variable expression that represents the following word phrase:

Four less than half the difference of 3 and x​

Answer:

The answer is 0.06

Step-by-step explanation:

do you have my answer plz help plz

Answer: I believe the answer is M= -4

Step-by-step explanation:

Answer:

Angle 8 and angle 16.

Step-by-step explanation:

Number 4 because they are in the same spot. Learn geometry.

If from 1950 to 1990 the population of Country W increased by 40 percent, From 1990 to 2012 the population of Country W increased by 10 percent, population of Country W increased by 54% from 1950 to 2012.

To find the percent increase in the population of Country W from 1950 to 2012, we can use the following formula:

percent increase = [(new value - old value) / old value] x 100

Let P1 be the population in 1950, P2 be the population in 1990, and P3 be the population in 2012.

From the problem, we know that:

P2 = 1.4P1 (since the population increased by 40% from 1950 to 1990)

P3 = 1.1P2 (since the population increased by 10% from 1990 to 2012)

Substituting the first equation into the second equation, we get:

P3 = 1.1(1.4P1) = 1.54P1

Therefore, the percent increase in the population from 1950 to 2012 is:

[(P3 - P1) / P1] x 100

= [(1.54P1 - P1) / P1] x 100

= 54%

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The Taylor series for a function f about x=1 is an infinite sum that represents the function using its derivatives at x=1. It starts with the value of the function at x=1 and includes terms involving higher derivatives multiplied by powers of (x-1) divided by factorials. It allows us to approximate the function near x=1 using a polynomial.

1. The first term, f(1), represents the value of the function at x=1.
2. The subsequent terms involve the derivatives of the function at x=1. The second term, f'(1)(x-1), is the first derivative of f at x=1 multiplied by (x-1).
3. Each subsequent term involves higher derivatives of f at x=1, with each derivative being multiplied by (x-1) raised to a power and divided by the corresponding factorial.

The Taylor series is a way to represent a function as an infinite sum of terms derived from its derivatives at a specific point. In this case, the Taylor series for function f about x=1 is given by f(x) = f(1) + f'(1)(x-1) + f''(1)(x-1)^2/2! + f'''(1)(x-1)^3/3! + ...

Each term involves a derivative of f evaluated at x=1, multiplied by (x-1) raised to a power and divided by the corresponding factorial. By including more terms in the series, we can approximate the function better near x=1 using a polynomial.

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Answer:

A.

Step-by-step explanation:

If you use the points P(-6,10) and R(2,-4) and put them it the midpoint formula you would get (-2,3) therefore it would be logical to use it

Answer:

1. E

2. D

3. A

4. F

5. B

6. C

Step-by-step explanation:

The largest value that f(4) can possibly be is 29.

The mean value theorem states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in the open interval (a, b) such that:

f(b) - f(a) = f'(c)(b - a)

In this case, we are given that f(0) = -3 and that f'(x) ≤ 8 for all values of x. To determine how large f(4) can possibly be, we can use the mean value theorem with a = 0 and b = 4:

f(4) - f(0) = f'(c)(4 - 0)

Substituting the given values:

f(4) - (-3) = f'(c)(4)

f(4) + 3 = 4f'(c)

Since f'(x) ≤ 8 for all values of x, we can say that f'(c) ≤ 8. Therefore:

f(4) + 3 ≤ 4f'(c) ≤ 4(8) = 32

Therefore, we have:

f(4) ≤ 32 - 3 = 29

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Using the definition of slope, the points (-2 , 6), (0 , 2), and (1 , 0) are collinear.

Three or more points are said to be collinear if they lie on a single straight line.

To determine whether the given points are collinear, use the definition of slope. The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points.

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

Getting the slope of each pair of points:

(-2 , 6) and (0 , 2)

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

m = (2 - 6)/(0 - -2)

m = -4/2

m = -2

(0 , 2), and (1 , 0)

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

m = (0 - 2)/(1 - 0)

m = -2/1

m = -2

(-2 , 6) and (1 , 0)

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

m = (0 - 6)/(1 - -2)

m = -6/3

m = -2

Since collinear points lies on the same line, the slope of any pair of points should be the same. Since the slopes of each pair of points is equal with each other, then they are collinear.

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The given statement exists true. If the measures of the base angles of an isosceles triangle are integers, then the sum of those angles is 2 times that integer, so the sum is an even number. The three angles added together must add to 180.

An isosceles triangle in geometry is one with at least two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.

The characteristics of an isosceles triangle are as follows: There is an agreement between two sides. The base of an isosceles triangle refers to the third side of the triangle, which is unequal to the other two sides. The two angles that are opposite the equal sides line up perfectly.

If the measures of the base angles of an isosceles triangle are integers, then the sum of those angles is 2 times that integer, so the sum is an even number. The three angles added together must add to 180.

An even number plus an odd number will be an odd number, and 180 exists always even.

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Work Shown:

9/12 = (x+4)/(2x)

9(2x) = 12(x+4)

18x = 12x+48

18x-12x = 48

6x = 48

x = 48/6

x = 8

Answer:

Given

Hope it helps

Step-by-step explanation:

Pressure is the force per unit perpendicular area over which the force is applied

p=F/A

Where f is force and a is area

So P

= F/A

= 76N / 0.049m2

= (76/0.049) Nm2

= 76000/49

= 1551.02

Or 1551 N/m2

The dimensions of the dumpster that will minimize its surface area

Length = 4.37 yds

Width  = 2.185 yds

Height  = 2.93 yds

What is Surface Area?

An object's surface area is the total area that all of its surfaces occupy. The formulas we will learn in this post make it simple to determine the various surface areas that various 3D shapes in geometry have. There are two groups for the surface area:

1) Curved surface area or Lateral surface area

2) Surface area overall

The length is said to be twice as long as the width.

So, l = 2w.

Now, the formula for a cube's surface area is;

S = 2lw + 2lh + 2wh.

Changing 2w to l yields;

S = 4wh + 4w² + 2wh.

S = 4w² + 6wh

In the meantime, the formula for a cube's volume is;

V = lwh

add 2w for l to receive;

V = 2w²h

h = V/2w²

In the SA equation, substitute V/2w² for h to get;

SA = 4w² + 6w(V/2w²)

SA = 4w² + 3V/w

V is stated to equal 28 yd3.

Thus;

S = 4w² + 84/w

Let's find the first derivative of S as we want to reduce the surface area;

S' = 8w - 84/w²

At S' = 0;

8w - 84/w² = 0

8w = 84/w²

w³ = 84/8

w = ∛(84/8)

w = 2.185 yds

L = 2 x 2.185

since, l = 2w.

l = 4.37 yds

h = V/2w²;

h = 28/(2 × 2.185²)

h = 2.93 yds

Hence, The dimensions of the dumpster that will minimize its surface area is l = 4.37 yds, w = 2.185 yds and h = 2.93 yds

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Answer:

The last year value of the house will be $230,000.

Step-by-step explanation:

GIVEN: Decrease in house price = 20%

            Current house price = $184,000

TO FIND: Value of the house last year

SOLUTION:

If the value of the house decreased by 20% during last year, this means the value of the house this year is 80% of last year's value.

Let the value of the house last year be 'x'.

If the value of the house today is  $184,000, then:

                           \(80/100 * x = 184,000\\\\0.8x = 184,000\\\\x = 184,000/0.8\\\\x = 230,000\)

Therefore, the last year value of the house will be $230,000.

\(QUESTION:\)

a body of mass 10kg at rest is subjected force of 16N. Find the kinetic energy at end of 20s.

\(SOLUTION:\)

\(Given\) \(that:\)

» Finding for the acceleration:

\(a=F/m\)

\(a=16N/10kg\)

\(a=1.6/s^2\)

» Then velocity after 20 seconds will be:

\(v=u+at\)

\(v=0+1.6m/s^2(20s)\)

\(v=32/s^\)

» Now , Finding for the kinetic energy:

\(K=1*2mv^2\)

\(K=1/2(10)(32)^2\)

\(K=5(1024)\)

\(K=5120\) \(J\)

\(ANSWER:\)

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

\( \large \sf \underline{Problem:}\)

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

\( \large \sf \underline{Answer:}\)

\( \huge \qquad \quad \sf{5,120 \: Joules}\)

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

\( \large \sf \underline{Solution:}\)

Firstly, find the acceleration:

Secondly, the velocity after 20 seconds will be:

Lastly, find the kinetic energy:

Hence, the kinetic energy at the end is 5,120 Joules.

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

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Answer:

b is the answer

Step-by-step explanation:

The missing coefficients of x² is 8.

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

According to the question we have been given the expression which is :

(15x^2+11y^2+8x)-(7x^2+5y^2+2x)=[blank]x^2+6y^2+6x      

In this we have to find the missing coefficient.

To find the missing coefficients we will solve the L.H.S that is

=  (15x^2+11y^2+8x)-(7x^2+5y^2+2x)    

First we will eliminate the brackets we get

   15x^2+11y^2+8x-7x^2-5y^2-2x

Solving the coefficients of  x² terms , y² terms and x terms we get

       = 8x² + 6y² + 6x

Which is equal to the R.H.S

Combining both the equation we get the coefficient of the x² is 8.

Hence the missing coefficient is 8.

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Answer:

Step-by-step explanatio                                                                                                     -3/8d-1 3/8

The expression "quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity" or (-3 1/4d + 3/5) - (2 7/8d + 7/10) is equivalent to "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.

An algebraic expression is a number, variable, or the combination of both and operational symbols.

To determine the equivalent of the expression "quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity" or simply (-3 1/4d + 3/5) - (2 7/8d + 7/10), combine all like terms and perform the necessary operations.

(-3 1/4d + 3/5) - (2 7/8d + 7/10)

⇒ -3 1/4d + 3/5 - 2 7/8d - 7/10

⇒ (-3 1/4 - 2 7/8)d + 3/5 - 7/10

⇒ (-13/4 - 23/8)d + 6/10 - 7/10

⇒ (-26/8 - 23/8)d - 1/10

⇒ -49/8 d - 1/10

Hence, the equivalent expression is "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.

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Answer:

I'd say the answer is A or B

Step-by-step explanation:

Since the colonists overtime had so many laws passed over that were cruel and unfair they went against the British with acts like the Tea Act which were preformed to turn against the British. (sorry if im wrong ^-^)

The values of x where the function f(x) is not continuous are x = 2, and the discontinuity at x = 2 is a jump discontinuity.

The function f(x) is defined as:

f(x) = {1/2x+5, x<=2

{x+3, x>2

To find the values of x where f(x) is not continuous, we need to check for three types of discontinuities: removable, jump, and infinite.

Removable discontinuity: This occurs when a function has a hole at a certain point, but can be made continuous by defining or redefining the value of the function at that point. In order for a discontinuity to be removable, the limit of the function as x approaches that point must exist.

To check for removable discontinuity, we need to check if the limit of the function as x approaches a certain point exists, but the function value is different from the limit. In this case, we only need to check the function at x = 2.

lim x->2- f(x) = lim x->2- 1/2x+5 = 6

lim x->2+ f(x) = lim x->2+ x+3 = 5

Since the limits from both sides are not equal, there is a removable discontinuity at x = 2. We can redefine the value of f(x) at x = 2 as 6 to remove the discontinuity.

Jump discontinuity: This occurs when the function has two distinct finite limits from both sides of a point, but the limits are not equal.

To check for jump discontinuity, we need to check if the limit of the function as x approaches a certain point exists from both sides, but they are not equal. In this case, we only need to check the function at x = 2.

lim x->2- f(x) = lim x->2- 1/2x+5 = 6

lim x->2+ f(x) = lim x->2+ x+3 = 5

Since the limits from both sides are not equal, there is a jump discontinuity at x = 2.

Infinite discontinuity: This occurs when the function approaches infinity or negative infinity as x approaches a certain point.

To check for infinite discontinuity, we need to check if the limit of the function as x approaches a certain point approaches infinity or negative infinity. In this case, there is no such point where f(x) approaches infinity or negative infinity.

Therefore, the values of x where the function f(x) is not continuous are x = 2, and the discontinuity at x = 2 is a jump discontinuity.

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Gerald is scheduled to be in class for 45/93 of the time from 8:00 a.m. to 2:15 p.m. on Thursday.

To determine the fraction of time Gerald is scheduled to be in class, calculation of the duration of his class and divide it by the total duration from 8:00 a.m. to 2:15 p.m.

Step 1: Calculate the duration of Gerald's class:

The class starts at 8:30 a.m. and ends at 12:00 p.m. To find the duration, we subtract the start time from the end time:

12:00 p.m. - 8:30 a.m. = 3 hours and 30 minutes.

Step 2: Calculate the total duration from 8:00 a.m. to 2:15 p.m.:

To find the duration, we subtract the start time from the end time:

2:15 p.m. - 8:00 a.m. = 6 hours and 15 minutes.

Step 3: Calculate the fraction of time Gerald is scheduled to be in class:

To find the fraction, we divide the duration of Gerald's class by the total duration:

3 hours and 30 minutes / 6 hours and 15 minutes = 210 minutes / 375 minutes.

To simplify the fraction,  divide both the numerator and denominator by their greatest common divisor, which is 15:

210 minutes ÷ 15 / 375 minutes ÷ 15 = 14 / 25.

Therefore, Gerald is scheduled to be in class for 14/25 of the time from 8:00 a.m. to 2:15 p.m. on Thursday.

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Answer:

Combined

Step-by-step explanation:

Explore the relationship between the general forms of variation :

Direct Variation :

x varies directly as y ; x = kx

Inverse Variation :

x varies inversely as y ; x = k/x

Joint : x varies jointly as y and Z ; x = kxz

combined :

x varies directly as y and inversely as z ; x = kx * 1/ ; x = kx/z

Where k is the proportionality constant.

In the equation given above :

We have a combination of joint and inverse variation : V = 5ng

V varies jointly as n and t and inversely as m

V α k * n * t * 1 / m

V = Knt /m

Where, k is proportionality constant.

Answer:

Step-by-step explanation:

Given function:

Its y-intercept is:

Answer options:

A. graph of exponential function going up from left to right through the point 0 comma 1 and approximately 6 tenths comma 6

B. graph of exponential function going up from left to right through the point 0 comma 15 and approximately 5 comma 45

C. graph of exponential function going up from left to right in quadrant 1 through the point 0, 0 and continuing toward infinity

D. graph of exponential function going up from left to right through the point 0 comma 1 and approximately 4 comma 3

Answer:

Answer B

Step-by-step explanation:

I took the test :)

Answer:

x=22

Step-by-step explanation:

Rule states diagonals = same so 6x-36 = 96 in which x=22 cause 6(22)=132

132-36 = 96

Answer:

I am not really getting your question. Could you comment on this answer?

1 meter = 100 centimeters

Ratio:

2 m : 76 cm

200 cm : 76 cm

2 m : 0.76 m

Answer:

where's the problem at like the work sheet?

Answer:

Equivalent fractions to 11/8

11/8, 22/16, 33/24, 44/32, 55/40, 66/48, 77/56, 88/64, 99/72, 110/80

Simplify both sides of the inequality.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{3x+6 < 3x-21 } \end{gathered}$} }\)

Subtract 3x from both sides.

Subtract 6 from both sides.

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{0 < -27} \end{gathered}$} }\)

Answer:

0 < - 27

Step-by-step explanation:

1. Distribute

3x + 6 < 3(x-7)

3x + 6 < 3x - 21

2. Subtract 6 from both sides

3x + 6 <  3x - 21

3x + 6 - 6 < 3x - 21 - 6

3. Simplify

   subtract

    3x + 6 - 6 < 3x - 21 - 6

    3x <  3x - 21 - 6

   subtract

     3x < 3x - 21 - 6

     3x < 3x - 27

4. Subtract 3x from both sides

3x < 3x - 27

3x - 3x < 3x - 27 - 3x

5. Simplify

    combine like terms

     3x - 3x < 3x - 27 - 3x

     0 < 3x - 27 - 3x

     0 < 3x - 27 - 3x

      0 < -  27

And that is how you get your answer