Ming's recipe for sweet tea calls 4 teaspoon of sugar. If Ming wants to make the tea 25% less sweet, how much less sugar should he use??​​

PLEASE EXPLAIN AND HELPP

Answer:

n = 17-13

Step-by-step explanation:

n+13=17

Subtract 13 from each side

n+13-13 = 17-13

n = 17-13

Answer:

0.17*58

17/100 * 58

Step-by-step explanation: Either one will help solve the problem.

Answer:

C

Step-by-step explanation:

thousandths (behind the decimal) (0.000)

Answer:

C

Step-by-step explanation:

BEcause 52 is in the thousandths place and 15 is a whole number.

The position of standard Brownian motion, represented as a limit of a random walk, is nowhere differentiable. This means that it does not have a derivative at any point.

The argument for this is based on the fact that the random walk progresses by adding or subtracting a square root value at each time step with equal probability. As we take the limit of the random walk over smaller and smaller time intervals, the steps become more frequent and smaller. Due to the unpredictable nature of the random walk, the accumulated steps cancel each other out, leading to a highly erratic and irregular path that lacks a well-defined tangent or derivative.

To understand why the position of standard Brownian motion is nowhere differentiable, we can consider the behavior of the random walk that approximates it. In this random walk, the time-scale is divided into intervals of size ɛ, and at each time step t = 0, ɛ, 2ɛ, and so on, the walk progresses by adding or subtracting √ɛ with equal probability.

As we take the limit of this random walk, making the intervals infinitesimally small, the steps become more frequent and smaller. However, since the steps are random, they do not cancel out or follow a predictable pattern. Consequently, the accumulated steps do not exhibit a consistent direction or smoothness, making it impossible to define a derivative at any point along the path of the random walk.

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Answer:

c

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

ABC AND DBF.

ABC = 4x +1= your answer

The equation of the circle with a radius of 111 and a center at (9, 5) is:

To determine the equation of a circle, we use the standard form equation:

\((x - h)^2 + (y - k)^2 = r^2\)

Where (h, k) represents the center coordinates of the circle, and r represents the radius.

In this case, the center of the circle is (9, 5), and the radius is 111. Plugging these values into the equation, we have:

(x - 9)^2 + (y - 5)^2 = 111^2

Expanding and simplifying further:

\((x - 9)^2 + (y - 5)^2 = 12321\)

Therefore, the equation of the circle with a radius of 111 and a center at (9, 5) is:

(x - 9)^2 + (y - 5)^2 = 12321

This equation represents all the points (x, y) that are equidistant from the center (9, 5) by a distance of 111 units, forming a circle shape.

To graphically represent the circle, plot the center point (9, 5) on a coordinate plane and then draw the circle with a radius of 111 units around it. Any point on the graph that satisfies the equation will lie on the circle, while points outside the circle will not satisfy the equation.

It's important to note that the equation of a circle can also be expressed in other forms, such as the general form or parametric form. However, the standard form equation provided above is commonly used for representing circles.

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An arithmetic sequence is a sequence where the difference between each consecutive term is the same.

The recursive formula for the arithmetic sequence is

a + (n -1)d.

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

-49, -35, -21, -7, ....

We see that,

The first term is -49.

The common difference.

= -35 + 49

= 14

Now,

The recursive formula can be written as,

a + (n - 1)d

We can cross-check.

a = -49 and d = 14

Now,

n = 1,  -49

n = 2, -35

n = 3, -21

n = 4, -7

Thus,

The recursive formula for the arithmetic sequence is

a + (n -1)d.

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Inverse laplace transform of Y(s) is:  \(y(t) = [(t/3)e^(-2t) + (1/3)cos(3t)] u(t)\) for the differential equation.

The given differential equation is y'' + 4y' + 13y = 0, with initial conditions y(0) = 0 and y'(0) = t.

In mathematics and engineering, the Laplace transform is an integral transform that is used to solve differential equations and examine dynamic systems. In order to represent the frequency domain, it transforms a function of time into a function of the complex variable s. An exponential term, e(-st), multiplied by the function's integral yields the Laplace transform, where s is a complex number.

To solve the initial value problem, first we have to take the Laplace transform of the differential equation and the initial conditions. Laplace transform of y'' is given as \(s^2Y(s) - sy(0) - y'(0)\)

Laplace transform of y' is given as sY(s) - y(0)

We get: Laplace transform of y'' + 4 Laplace transform of y' + 13Laplace transform of y = Laplace transform of (0)

We get: \(s^2Y(s) - st - 1 + 4(sY(s) - 0) + 13Y(s) = 0=>\\\\ s^2Y(s) + 4sY(s) + 13Y(s) = st + 1Y(s)(s^2 + 4s + 13) = \\\\st + 1Y(s) = (st + 1) / (s^2 + 4s + 13)\)

Now we need to take the inverse Laplace transform of Y(s) to get the solution of the initial value problem. For that, we need to factorize the denominator as \(s^2 + 4s + 13 = (s + 2)^2 + 9\)

By partial fraction method, we can write the equation asY(s) = \((st + 1) / (s^2 + 4s + 13) = \\(st + 1) / [(s + 2)^2 + 9]=\\ [(t/3)(s + 2) + (1/3)] / [(s + 2)^2 + 9]\)

Taking inverse Laplace transform of Y(s), we get: \(y(t) = [(t/3)e^(-2t) + (1/3)cos(3t)]\) u(t)Where u(t) is the unit step function.

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Answer:

It is still 549.5

Step-by-step explanation:

Rounding to 1 decimal place is just rounding by the tenth place

So it is still 549.5

Hope this helps!

Answer:

I think the answer is y= -2/x

Answer:10:05

Step-by-step explanation:

subtract 45 from 50!

Answer:

She started the test at 10:05 am

Step-by-step explanation:

Take the end time and subtract the time of the test

10:50-45 = 10:05

She started the test at 10:05 am

Answer: d. (if a polygon has congruent angles, then it is regular)

Step-by-step explanation:

Converses follow the format of "if q, then p" (while  the original conditional is "if p, then q")

Just because there are clouds does not mean its raining (cloudy days)

just because it has four equal sides does not make it a square (rhombi have four equal sides but are not squares)

just because you cannot see the sun does not mean it is not daytime (solar eclipses)

if a polygon is regular, it must have congruent angles

Answer:

y = 5.5x + 79.5

Step-by-step explanation:

Given that:

Weight gained after 11 months = 140 kg

Rate of weight gain = 5.5kg per month

Weight in kg after x months = y

Representing the equation in the form:

y = mx + c

m = rate of water gain = slope = 5. 5

.the intercept c, can be obtained thus ;

x = 11 ; y = 140

140 = 5.5(11) + c

140 = 60.5 + c

140 - 60.5 = c

79.5 = c

Hence,

y = 5.5x + 79.5

The first part of the function is a constant function, so its Fourier Transform is zero. The second part of the function is a linear function, so its Fourier Transform is a constant times

the Fourier Transform of the given function:

F(w) = where and is the Heaviside step function.

To find the Fourier Transform of the given function, we can use the following steps:

Start with the definition of the Fourier Transform:

F(w) = ∫ f(x) e^(-iwx) dx

Substitute the given function into the formula:

F(w) = ∫ 1 - x/2 0 -1 otherwise e^(-iwx) dx

Split the integral into two parts:

F(w) = ∫ 1 e^(-iwx) dx + ∫ -x/2 e^(-iwx) dx

Evaluate the first integral:

∫ 1 e^(-iwx) dx = -i/w

Evaluate the second integral:

∫ -x/2 e^(-iwx) dx = i/(2w) (e^(-iwx) - e^(iwx))

Add the two integrals to get the final answer:

F(w) =

The given function is a piecewise function, so we need to use the Heaviside step function to evaluate the Fourier Transform. The Heaviside step function is defined as follows:

H(x) = where is a real number.

In this case, the Heaviside step function is used to represent the two parts of the given function. The first part of the function is zero for

and one for. The second part of the function is zero for and

The Fourier Transform of a piecewise function can be found using the following steps:

For each part of the function, find the Fourier Transform of the function.

Add the Fourier Transforms of each part to get the final answer.

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The correct numerical expression for "9 times 4 added to the difference of 3 and 2" is:

\(9 x 4 + (3 - 2)\)

In mathematics, an expression is a combination of numbers, variables, operators, and/or functions that can be evaluated to produce a value. Expressions can be simple or complex, and can involve arithmetic operations (such as addition, subtraction, multiplication, and division), as well as more advanced mathematical concepts such as exponents, logarithms, and trigonometric functions.

Expressions are often used in mathematical equations and formulas, and can be used to represent real-world situations and problems. For example, the expression "2x + 3y" might be used to represent the cost of buying two items that cost x dollars each and three items that cost y dollars each.

It's important to distinguish expressions from equations, which are statements that assert that two expressions are equal to each other. An equation involves an expression on each side of the equal sign, whereas an expression does not contain an equal sign.

The correct numerical expression for "9 times 4 added to the difference of 3 and 2" is:

\(9 x 4 + (3 - 2)\)

First, we evaluate the difference between 3 and 2, which is 1. Then we multiply 9 and 4, which is 36. Finally, we add 36 and 1 to get the answer:

\(36 + 1 = 37\)

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The correct inequality to compares is,

⇒ One-eighth < One-half < Three-fifths < 1

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The numbers are,

⇒ Three-fifths, One-half, One-eighth, and 1.

Now,

Find the ascending order of the numbers as;

The number are,

⇒ 3/5, 1/2, 1/8, 1

Make all the denominators same by finding the LCM of 5, 2, 8.

Since, LCM (5, 2, 8} = 80

So, All the numbers becomes;

⇒ 3/5 = 48/80

⇒ 1/2 = 40/80

⇒ 1/8 = 10/80

⇒ 1/1 = 80/80

So, The ascending order of the numbers are;

⇒ 10/80 < 40/80 < 48/80 < 80/80

This is equivalent to,

⇒ 1/8 < 1/2 < 3/5 < 1

⇒ One-eighth < One-half < Three-fifths < 1

Thus, The correct inequality to compares is,

⇒ One-eighth < One-half < Three-fifths < 1

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Answer:

y + 9 = -2 (x - 9)

Step-by-step explanation:

M (slope) = -2

X=9 and Y=-9

Point-slope form

y - y1 = m(x - x1)

y - - 9 = -2( x - 9)

y + 9 = -2(x -9)

Answer:

A. 1/6

B. 1

Step-by-step explanation:

A. 9/j x j/54= 9/54 = 1/6

B. 6k/8m : 3k/4m = 6k/8m : 4m / 3k = 2/2 =1

Answer:

a. 3/2

b. 1

Step-by-step explanation:

A. To simplify the expression, we can cancel out the common factor of j:

9/j * j/54 = (9/1 * 1/6) = 3/2

Therefore, 9/j * j/54 simplifies to 3/2.

B. To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. That is,

(a/b) ÷ (c/d) = (a/b) x (d/c)

Using this rule, we can simplify the given expression as follows:

6k/8m ÷ 3k/4m = (6k/8m) x (4m/3k)

             = (6/8) x (4/3)  

             = 2/2

             = 1

The graph is attached below.

To graph the rational function f(x) = 8/(x-2), follow these steps:

The resulting graph should have a vertical asymptote at x=2, a horizontal asymptote at y=0, and crosses the x-axis at x=2 and the y-axis at y=-4. The graph is decreasing from negative infinity to x=2, and increasing from x=2 to positive infinity.

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Answer: 4 Ounces.

Step-by-step Explanation: I don't know the full context of the problem, but if Seth used 4 ounces, that means that he used 4 ounces all together.

Answer:  b

Step-by-step explanation:

I think

Answer:

Step-by-step explanation:

We presume your "centroid ratio theorem" tells you that AG = 2·DG, so ...

 (x+7) = 2(x -15)

 x + 7 = 2x - 30 . . . . eliminate parentheses

 37 = x  . . . . . . . . . . .add 30-x

Then AG = 37+7 = 44

and DG = 37-15 = 22.

Thus, AD = AG +GD = 44 +22 = 66

Answer: x = -2 and y = -5

We are given two system of equations

-6x - 2y = 22 ---------------- equation 1

-12x + 10y = - 26------------- equation 2

These two system of equations can be solve simultaneously using elimination method

Before we can apply elimination method, we need to make one of the variables equal in both equations

Let us eliminate x

To make the co -efficient of x equal in both equations, Multiply equation 1 by 2 and equation 2 by 1

-6x - 2y = 22 * 2

-12x + 10y = -26 * 1

This becomes

-6x * 2 - 2y* 2 = 22*2

-12x*1 + 10y *1 = -26 * 1

-12x - 4y = 44------------------- equation 3

-12x + 10y = -26 --------------- equation 4

To eliminate x, substract equation 4 from equation 3

-12x - (-12x) - 4y - (10y) = 44 - (-26)

-12x + 12x -4y -10y = 44 + 26

0 - 14y = 70

-14y = 70

Divide both sides by -14

To find x, substitute the value of y = -5 into equation 1

-6x - 2y = 22

-6x - 2(-5) = 22

-6x + 10 = 22

-6x = 22 - 10

-6x = 12

Divide both sides by -6

Hence, x = -2, and y = -5 : (-2, -5)

The exponential growth and decay function for calculating the height reached by the ball indicates;

1. H. 45

2. B. 21.5

3. D. 16

4. A. 37

The exponential growth formula can be presented as follows;

f(x) = a·(1 + r)ˣ

The initial height of the ball, a = 50 feet

The amount of height the ball loses on each bounce, r = 10% of the previous height

Therefore;

The initial value, a = 50

The growth rate, r = -10%

Which indicates;

f(x) = 50 × (1 - 0.1)ˣ

1. The height on thits first bounce, x = 1, indicates;

f(1) = 50 × (1 - 0.1)¹ = 45

The height the ball reaches on its first bounce = 45 ft

2. The height reached by the ball on its eight bounce is therefore;

f(8) = 50 × (1 - 0.1)⁸ ≈ 21.5

The height reached by the ball on its eight bounce is about 21.5 feet

3. The ball's height is less than 10 feet when we get;

f(x) = 50 × (1 - 0.1)ˣ < 10

(1 - 0.1)ˣ < 10/50 = 1/5

(0.9)ˣ < 0.2

x > ln(0.2)/ln(0.9) ≈ 15.3

Therefore, the height of the ball will be less than 10 feet after more than 15 bounces,

4. The ball's height is less than 1 ft when we get;

f(x) = 50 × (1 - 0.1)ˣ < 1

50 × (1 - 0.1)ˣ < 1

(0.9)ˣ < 1/50 = 0.02

x > ln(0.02)/(ln(0.9)) ≈ 37

x > 37

Therefore, the height of the ball will be less than 1 ft after 38 bounces

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There are three integer values of x (5, 6, and 7) that satisfy the condition √(2x) > 3 and √(2x) < 4.

To find the integer values of x that satisfy the condition √(2x) > 3 and √(2x) < 4, we need to consider the range of values for x that make the inequality true.

We start by isolating the square root expression:

3 < √(2x) < 4

To eliminate the square root, we can square both sides of the inequality:

3^2 < (√(2x))^2 < 4^2

9 < 2x < 16

Dividing the inequality by 2:

4.5 < x < 8

Now, we need to find the integer values of x that lie within this range. Since the condition asks for integer values, we can conclude that the possible values for x are 5, 6, and 7. Note that x cannot be equal to 4 or 8, as those values would make the inequality false.

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Answer:

First we have to do both of the parenthesis so 8.95 times 108 is 966.6 and 1.5 times 106 is 159 and then we subtract 966.6 and 159 which gives us 807.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

The both points lie on the y-axis as both have same x- coordinate, zero.

The line overlaps with y- axis and its equation is:

The cost to move in for Victoria and Michael is $7,645.

The cost to move into the apartment for Victoria and Michael can be found by calculating the sum of the application deposit, credit report cost, security deposit, first and last month's rent, and the broker fee.

Using the given information:

$150 is the application deposit

$35 is the cost of the credit report

Security deposit is 1 month's rent which is $2,200

First and last month's rent are also $2,200 each.

Thus, the total amount for these two months will be $4,400

The broker charged 2.5% of the yearly rent.

The yearly rent is $2,200 × 12 months = $26,400.

Therefore, the broker fee will be 2.5% of $26,400 which is $660.

Total cost to move in = $150 + $35 + $2,200 + $2,200 + $660 + $2,200 = $7,645

Therefore, the cost to move in for Victoria and Michael is $7,645.

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