6. You just had surgery on your knee. As part of rehabilitation your physical
therapist wants you to walk 1 minute on day 1 and double your time every day. How
many minutes will you be walking on day 7?

Answer:

4x - 7

Step-by-step explanation:

x + 2x + 3x - 2x = 4x

-8 + 1 = -7

The simplified expression is 4x -7.

A fine operation similar as deduction, addition, addition, or division is used to combine terms into an expression. In a fine expression, the following terms are used.

Given:

Expression:  x+2x –8+3x+1 –2x

Now, simplifying the expression by taking like terms along.

x+2x –8+3x+1 –2x

= x+ 2x - 2x + 3x - 8 + 1

= x(1 + 2 - 2 + 3) -7

= x( 4) -7

= 4x -7

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When k is negative, the graph will flip over the y-axis.

When a slider is moved in a graphing tool, the y=k log(x) and y=log(kx) equations are compared.

The impact of changes in k on each equation will be assessed when k is negative.

What is the answer?

The relationship between k and the y=k log(x) equation is as follows:

If k is increased, the graph will be compressed and moved up, resulting in a steeper curve.

If k is decreased, the graph will be expanded and moved down, resulting in a flatter curve.

It should be noted that if k is negative, the graph would not be defined.

Therefore, when k is negative, this graph would not be shown. For this reason, there will be no graph to compare for this equation.

When k is negative, the graph will flip over the y-axis.

The x-intercept (when y=0) is also changed from 1/k to -1/k.

The graph, however, is still defined.

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There are 4 minutes in 1/15 of an hour. Therefore, 34 minutes is equal to 34/15 of an hour or 2.266666667 hours.

4 minutes is equal to 1/15 of an hour. Therefore, when multiplying 4 minutes by 34, we must first convert the minutes into hours. To do this, we divide 34 minutes by 15. This gives us 2.266666667 hours. This is the equivalent of 4 minutes multiplied by 34.

By understanding that 4 minutes is equal to 1/15 of an hour, we can apply this to any number of minutes to convert them into hours. For example, if we had 48 minutes, we would divide 48 by 15 and get 3.2 hours. We can also do this in reverse. For instance, if we wanted to convert 3.2 hours into minutes, we would multiply 3.2 by 15, giving us 48 minutes.

By understanding the relationship between minutes and hours, we can easily convert between the two. This is useful for measuring time or for calculating how long a task will take.

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Answer:

Yes , 0.5°

Step-by-step explanation:

We know that in a isosceles triangle , two sides are equal and therefore two angles are also equal. If one of the angles is 179° then ,

⇒ 179 + 2x = 180

⇒ 2x = 180 - 179

⇒ 2x = 1

⇒ x = 0.5°

Yes it's possible to draw a isosceles triangle with one of the obtuse angles as 179° and the other angles will be 0.5° .

Answer:

\(Pr = 0.50\)

Step-by-step explanation:

Given

\(n = 30\)

\(H = 21\)

\(T = 9\)

See attachment for complete question

Required

\(P(H)\)

The question requires that we calculate the theoretical probability of landing on the head.

This means that, we have to ignore the given data, and we use the following

\(S =\{H,T\}\) --- sample space

\(n(S) = 2\) --- sample size

\(n(H) = 1\) --- occurrence of Head

So, the theoretical probability is:

\(Pr = n(H)/n(S)\)

\(Pr = 1/2\)

\(Pr = 0.50\)

Answer:

first start with 83 -12

83-12 = 71

Now take 0.76 away from 71

71 - 0.76 = 70.24

Step-by-step explanation:

Answer: 70.24

Hope this helped you! ^^

Answer:The answer would be negative.

Step-by-step explanation:There is already a negative balance of -$25 and you would add $23.-25+23=-2.So therefore the answer would be negative.

Please give brainliest if answer is correct.

Answer:6.5x=y

Step-by-step explanation:1- divide 19.50

2- get 6.5

3- add variable

4- get 6.5x=y

Answer:

1.) 3x = 19.50 (they got 6.5 and hour)  

2.) 70 adults

Step-by-step explanation:

Work for #2

\(\frac{14}{2}\) \(\frac{490}{x}\) then cross multiply. 14*x = 14x 490*2 = 980

So 980 = 14x (divide by 14)

x = 70

So 70 adults

Hope this helps!!!

Step-by-step explanation:

The graph has coordinates:

The domain of S:

The range of S:

The coordinates of the plotted points

Domain:-

Set of x values

Range

Set of y values

The frequency of the motion is given as follows:

0.0318 Hz.

A standard cosine function is defined as follows:

g(x) = acos(b(x+c))+d.

The coefficients have these following roles:

Hence we must look first at coefficient b to obtain the period of the function.

The coefficient b is given as follows:

b = 0.2.

Hence the period of the function is of:

p = 2π/0.2

p = 10π.

The frequency is one divided by the period, hence:

f = 1/10π

f = 0.0318 Hz.

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When you are doing calculations, you can usually tell when you need to change base by looking at the problem. If the problem includes fractions, a base other than 10 may be more efficient. If the problem includes exponents, a base other than 10 may be necessary.

When working with numbers, it is important to know what base the numbers are in in order to correctly perform calculations. The base of a number is the number of digits used to express it, meaning that the base of a number can range from base 2 (binary) to base 36 (base 36 uses the numbers 0-9 and the letters A-Z).

Changing the base of a number can be helpful when dealing with fractions, exponents, and other complex calculations. To change the base of a number, divide the number by the base and then divide the remainder by the base, continuing to divide until the remainder equals 0.

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Answer: I believe its 119 Degrees

Answer:

268.25

Step-by-step explanation:

by using the fact that one year is 365.25 days, we can subtract our 365.25 by our 97 to get 268.25, written in the equation of 365.25-97=268.25

*edit, messed up how long a year was, corrected my issue, answer & equation.

Answer:

Step-by-step explanation:

How many did not rain is 268 because if you take away 97 from 365 ofcourse it will be 268 you’re welcome

Answer:

891.75 sq.ft is the area of the polygon

Step-by-step explanation:

9.2^2 + 10^2= 184.64

√184.64= 13.59 feet

area of regular octagon=A=2(1+√ 2)a^2

A= 2(1+√2)13.59^2

A=891.75 sq.ft(approx)

To approximate the value of the integral ∫x² ln(x) dx using the quadrature formula [ƒ(x) dx = c₀ ƒ(0) + c₁ ƒ(x), we need to determine the coefficients c₀ and c₁. Then, we substitute the function values into the formula to calculate the approximation.

The given quadrature formula [ƒ(x) dx = c₀ ƒ(0) + c₁ ƒ(x) is used to approximate the integral ∫x² ln(x) dx. To apply the formula, we need to determine the coefficients c₀ and c₁.

By comparing the formula with the given integral, we can see that c₀ corresponds to the coefficient of ƒ(0) and c₁ corresponds to the coefficient of ƒ(x). In this case, ƒ(x) is x² ln(x).

To calculate the coefficients, we substitute x = 0 and x = x into the integral and evaluate the resulting expressions. This allows us to determine the values of c₀ and c₁.

Once we have the coefficients, we substitute the function values into the quadrature formula and calculate the approximation of the integral.

In summary, to approximate the integral ∫x² ln(x) dx using the quadrature formula [ƒ(x) dx = c₀ ƒ(0) + c₁ ƒ(x), we determine the coefficients c₀ and c₁ by evaluating the integral at x = 0 and x = x. Then, we substitute the function values into the formula to obtain the approximation of the integral.

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Answer:

\(\frac{x}{x-1}\)

Step-by-step explanation:

\(\frac{3x^2 - 1}{x^2 - 1} - \frac{2x + 1}{x + 1}\)                                          \([ \ x^ 2- 1 = (x-1)(x + 1) \ ]\)

\(= \frac{3x^2 - 1}{(x-1)(x + 1 )} - \frac{2x + 1}{x + 1}\\\\=\frac{(3x^2 - 1)-(2x + 1)(x-1)}{(x + 1)(x-1)}\)                        \([\ Taking \ LCM \ ]\)

\(= \frac{(3x^2 - 1)- (2x^2 - 2x + x - 1)}{(x+1)(x-1)}\\\\=\frac{3x^2 - 1 - 2x^2 + x + 1 }{(x+1)(x-1)}\\\\=\frac{x^2 +x}{(x+1)(x-1)}\\\\=\frac{x(x+1)}{(x+1)(x-1)}\\\\=\frac{x}{x-1}\)

Finding LCM :

Example :

                 \(\frac{1}{6} + \frac{1}{3}\)

6 = 2  x   3

3 = 1   x   3

                \(\frac{1}{2 \times 3} + \frac{1}{ 3}\) \(= \frac{1}{2 \times 3} + \frac{1 \times 2}{ 3 \times 2}\)  

[ To make the denominators same : the second fraction is multiplied and divided by 2 ]

Similarly :

 \((x^2 - 1 ) = (x -1)(x+1)\\\\(x + 1) = 1 \times (x + 1)\)

Same rule we applied : multiplied the numerator and denominator of the second term with ( x - 1 )

Therefore the second term becomes ,

                                       \(\frac{2x + 1}{x + 1} = \frac{(2x + 1)(x - 1)}{(x + 1)( x - 1)}\)

The area of the trapezoid-shaped lawn is 60 square meters (option b)

To do this, we can use the formula for the height of a trapezoid:

height = (2 × area) / (sum of bases)

We'll need to rearrange this formula to solve for area:

area = (height × sum of bases) / 2

Now we just need to plug in the values we know:

sum of bases = 4m + 18m = 22m

height = (2 × area) / 22m

We still need to find the value of the area. To do this, we can use the formula for the area of a trapezoid:

area = ((base1 + base2) / 2) × height

Plugging in the values we have for the bases and height:

area = ((4m + 18m) / 2) × ((2 × area) / 22m)

Simplifying this equation:

area = (22m / 2) × (area / 11m)

area = 11m × (area / 11m)

area = area

So we have a bit of a circular equation here! But we can solve for the area by cross-multiplying:

area × 1m = (12m / 2) × area

1m × area = 6m × 10m

area = 60m²

which corresponds to option (b) in the given answer choices.

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Answer:

Step-by-step explanation:

Let the time taken to reach 12,000 feet = x

Distance traveled in 1 minute = 2000 ft

Distance traveled in 'x' minute = 2000 * x = 2000x

30,000 - 2000x = 12000

Add 2000x to both sides

30,000 = 12000 + 2000x

Now subtract 12,000 from both sides

30000 - 12 000 = 2000x

2000x =  18 000

Divide both sides  by 2000

x = 18000/2000

x = 9 minutes

To find the value of x in the given scenario, we can apply the Pythagorean theorem, the value of x is 2√7 cm

To find the value of x in the given scenario, we can apply the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the sides of the right triangle are the lengths of the squares, which are 6 cm, x cm, and 8 cm. We can set up the equation using the Pythagorean theorem as follows:

6^2 + x^2 = 8^2

Simplifying the equation, we get:

36 + x^2 = 64

Subtracting 36 from both sides, we have:

x^2 = 28

Taking the square root of both sides, we find:

x = √28 = 2√7

Therefore, the value of x is 2√7 cm.


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The area of each polygon in this problem is given as follows:

a) 252 square units.

b) 65 square units.

For item a, we have a rectangle of dimensions 12 and 21, hence the area is the multiplication of the dimensions, as follows:

A = 12 x 21 = 252 square units.

For item b, we have a triangle with base 13 and height 10, hence the area is half the multiplication of the base by the height, as follows:

A = 0.5 x 13 x 10 = 65 square units.

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No, her estimate is too high.

Given,

Lavonne estimated 38% of 63 by rounding 38% up to 40%, rounding 63 up to 70, and then multiplying 70 by 0.4 to get 28 .

Now

Firstly calculate the actual answer:

38% of 63

= 38/100 * 63

= 23.94

Now

The approximated portion :

40% of 70

= 0.4 *70

= 28

Hence the answer should be around 24 but after approximation it is coming 28 .

Thus the estimate made by Lavonne is high .

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(a) Matrix A of T relative to basis B: A = [[1, -2], [1, 4]]. (b) Transition matrix P from B' to B: P = [[1, 1], [1, 2]]⁻¹. (c) Matrix A' of T relative to basis B': A' = [[1, -3], [4, 3]]. (d) [T(v)]B' = [7, -5] for [v]B' = [3, -2]. (e) Verified [v]B = [3, -2] and [T(v)] = [7, -5] match the calculations.

(a) To find the matrix A of T relative to the basis B, we need to find the images of the basis vectors (1,0) and (0,1) under the transformation T.

T(1,0) = (1 - 2(0), 1 + 4(0)) = (1,1)

T(0,1) = (0 - 2(1), 0 + 4(1)) = (-2,4)

Now, we can express the images of the basis vectors in terms of the basis B:

[1,1] = 1*[1,0] + 1*[0,1]

[-2,4] = -2*[1,0] + 4*[0,1]

Therefore, the matrix A of T relative to the basis B is:

A = [[1, -2], [1, 4]]

(b) To find the transition matrix P from B' to B, we need to express the basis vectors of B' in terms of the basis B.

(1,1) = 1*(1,0) + 1*(0,1)

(1,2) = 1*(1,0) + 2*(0,1)

Therefore, the transition matrix P from B' to B is:

P = [[1, 1], [1, 2]]⁻¹ (inverse of the matrix)

(c) To find the matrix A' of T relative to the basis B', we need to find the images of the basis vectors (1,1) and (1,2) under the transformation T.

T(1,1) = (1 - 2(1), 1 + 4(1)) = (-1,5)

T(1,2) = (1 - 2(2), 1 + 4(2)) = (-3,9)

Now, we can express the images of the basis vectors in terms of the basis B':

[-1,5] = 1*(1,1) + 4*(1,2)

[-3,9] = -3*(1,1) + 3*(1,2)

Therefore, the matrix A' of T relative to the basis B' is:

A' = [[1, -3], [4, 3]]

(d) To find [T(v)]B', we need to express v in terms of the basis B' and apply the transformation T.

[v]B' = [3, -2] (the coordinates of v in terms of basis B')

Applying the transformation T:

T(3, -2) = (3 - 2(-2), 3 + 4(-2)) = (7, -5)

Therefore, [T(v)]B' = [7, -5]

(e) To verify the answer in (d), we need to find [v]B and [T(v)].

To find [v]B, we need to express v in terms of the basis B:

[v]B = [3, -2]

To find [T(v)], we apply the transformation T to v:

T(3, -2) = (3 - 2(-2), 3 + 4(-2)) = (7, -5)

Therefore, [T(v)] = [7, -5]

This confirms that [T(v)]B' = [7, -5] as found in (d).

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Answer:

Approximately 18.0.

Step-by-step explanation:

To find x, we can use the Law of Cosines.

The Law of Cosines is the following:

\(c^2=a^2+b^2-2ab\cos(C)\)

Now that the c is the side we're trying to find. Thus, the c is x. Also, Angle C is the angle opposite to c (or x). a and b are the two sides next to Angle C.

Plug in x for c, 16 for a, 30 for b, and 30 for Angle C:

\(x^2=(16)^2+(30)^2-2(16)(30)\cos(30)\\x^2=1156-960\cos(30)\\x=\sqrt{1156-960\cos(30)} \\x\approx18.0171\)

(Use a calculator. Make sure you're in degree mode!)

Answer:

18

Step-by-step explanation:

to be more precise from the answer above :)

bc i know people will type 18.0 in the box when it's actually 18.

The probability that a randomly selected examinee will complete the exam on time is 0.891 or 89.1%, assuming that the time taken per question follows a normal distribution with a mean of and a standard deviation

To solve this problem, we can use the normal distribution since the time spent per question follows a normal distribution with a mean of and a standard deviation of. We can then find the probability that a randomly selected examinee will complete the exam on time, which is defined as completing the exam within minutes.

Let X be the total time taken by an examinee to complete the exam, then X follows a normal distribution with mean and standard deviation.

The probability that an examinee completes the exam within the given time is equivalent to the probability that the total time taken by the examinee is less than or equal to minutes. We can then find this probability using the standard normal distribution, which is a normal distribution with a mean of 0 and a standard deviation of 1.

To do this, we first standardize the variable X as follows:

Z = (X - µ) / σ

where µ is mean and σ is the standard deviation. Substituting the values, we get:

Z = (180 - x ) /

We can then find the probability that an examinee completes the exam on time by finding the area under the standard normal distribution curve to the left of Z. This can be done using a table of the standard normal distribution or by using a statistical software package such as Excel.

Assuming a normal distribution, we have:

P(Z ≤ (180 - x) / )

Using a standard normal distribution table or statistical software, we can find this probability to be approximately 0.891. Therefore, the probability that a randomly selected examinee will complete the exam on time is approximately 0.891 or 89.1%.

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Answer: It should be 470 cm^2

Step-by-step explanation:

Answer:

875 cm^3

Step-by-step explanation:

Here, we want to calculate the volume of the pyramid.

To do this, we need to calculate the area of the base and then multiply this by the height of the pyramid in question

Mathematically since the base is a square, formula for the base area would be ;

L^2 = 5^2 = 125 cm ^2

Now

using the height to get the volume , we have 125 * 7 = 875 cm^3

Answer:

58 1/3 cm³

Step-by-step explanation:

V = 5² * 7 / 3

V = 25 * 7 / 3

V = 58 cm³

Answer:

Step-by-step explanation:

41 minutes

He finished reading at 8:57 AM. How many minutes did he read? >) 41 minutes.

can i get brainlyest thx

Answer:

He read for 39 minutes

Step-by-step explanation:

You just subtract 57 - 18

The phone is worth $128 after 2 years, which is option C.

What is exponential decay ?

Exponential decay is a decrease in a quantity over time where the rate of decay is proportional to the current value. In this case, the value of the phone decreases by 3/5 each year after it is released. This means that the value after one year is 2/5 of the original value, and the value after two years is (2/5) times (2/5) of the original value. Exponential decay is a common phenomenon in many areas of science and mathematics, including radioactive decay, population growth and decay, and financial investments.

Calculating the worth of the phone :

The phone is not worth the same amount after 2 years, as it loses 3/5 of its value each year. We need to calculate its worth after 2 years.

Let's use the formula for exponential decay: \(A = A_0(1 - r)^t\), where A is the final amount, \(A_0\) is the initial amount, r is the decay rate, and t is the time elapsed.

In this case, the initial amount is $800, the decay rate is 3/5, and the time elapsed is 2 years. Substituting these values into the formula, we get:

\(A = 800(1 - 3/5)^2\)

\(A = 800(2/5)^2\)

\(A = 800(4/25)\)

\(A = 128\)

Therefore, the phone is worth $128 after 2 years, which is option C.

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Answer:

The measure of m∠B = 60°

Step-by-step explanation:

The given parameters are;

The length of the sides of ΔABC includes;

Side AC = 7.12 cm

Side BC = 7.12 cm

Side AB = 7.12 cm

Therefore, given that all the sides of the triangle are equal, we have that the triangle is an equilateral triangle

The measure of the each interior angle of an equilateral triangle = 60°, by definition of equilateral triangle

∴ The measure of m∠B = 60°.