ryan wants to buy a sweatshirt for $42.99. The sale tax rate in his city is 7 1/2% what is the total cost for the sweatshirt? round your answer to the nearest cent.

Answer: Sig Figs 5

Step-by-step explanation:

Answer:

The answer is a

Step-by-step explanation:

hope this helps :}

Answer:

A

Step-by-step explanation:

l

v

The number of men who liked Thai food best was 3.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula. The probability of an event occurring is defined by probability. There are numerous instances in real life where we may need to make predictions about how something will turn out.

Probability(Event) = Positive Results/Total Results = x/n

The total number of people surveyed was 60.

The number of women = 29 thus, the number of men are:

60 - 29 = 31

Also, people who like Chinese food are:

10 + 19 = 29

Now, 8 of the 13 adults who liked Italian food best were women, thus men are:

13 - 8 = 5

People who like Thai food best was:

60 - 29 - 13 = 18

The number of men are:

31 - 10 - z = 18

z = 3

Hence, the number of men who liked Thai food best was 3.

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The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 324 and the standard deviation was 46.

We have to find the passing score so that only the best 90% of all applicants pass. Let's proceed and solve this problem.Therefore, the z-value for the 90th percentile is 1.28.Using the z-score formula, the passing score can be found as follows:z = (x - μ) / σ1.28 = (x - 324) / 46

We can solve for x by cross multiplying and solving for x:x - 324 = 58.88x = 382.88The passing score is 382.88. Therefore, the answer to the given problem is 382.88.

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The given box plot answers are,

a) 6

b) 5

c)3

d) 5

What is box plot?

   A suitable graphical representation of the concentration of the data is provided by box plots, often known as box-and-whisker plots or box-whisker plots. They also demonstrate how remote the extreme numbers are from the bulk of the data. Five numbers are used to create a box plot: the minimum value, first quartiles, median, third quartile, and maximum value.

Here in the given box plot middle line value is called median .Then ,

Median = 6

Now the maximum quartile = 8

The minimum quartile = 3

Now IQR is difference between the minimum and maximum quartile.

Then ,

=> IQR = 8-3 =5

Therefore the answers are

a) 6

b) 5

c)3

d) 5

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Answer:2.5 kg of potatoes cost £1.40 Work out the cost of 4.25 kg of potatoes. 1.25kg=70p 2.5 kg=1.40 3.75 kg=2.10 Done.

Step-by-step explanation: hope this helps love!!

Therefore, in either partial derivatives, we have u = 0 or v = 0.

The given information implies that two vectors u and v satisfy:

u * v = 0, where * denotes the dot product between vectors.

u X v = 0, where X denotes the cross product between vectors.

From the first equation, we know that the angle between u and v is either 90 degrees or 270 degrees. That is, u and v are orthogonal (perpendicular) to each other.

From the second equation, we know that the magnitude of the cross product u X v is equal to the product of the magnitudes of u and v multiplied by the sine of the angle between them. Since u and v are orthogonal, the angle between them is either 90 degrees or 270 degrees, which means that the sine of the angle is either 1 or -1. Therefore, we have:

|u X v| = |u| * |v| * sin(θ)

= 0

Since the magnitudes of u and v are non-negative, it follows that sin(θ) must be zero. This can only happen if the angle between u and v is either 0 degrees (i.e., u and v are parallel) or 180 degrees (i.e., u and v are anti-parallel).

In the case where u and v are parallel, we have:

u * v = |u| * |v| * cos(θ)

= |u|²

= 0

This implies that |u| = 0, which means that u = 0.

In the case where u and v are anti-parallel, we have:

u * v = |u| * |v| * cos(θ)

= -|u|²

= 0

This again implies that |u| = 0, which means that u = 0.

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Answer:

3

Step-by-step explanation:

If the price of rough rice increases from 12,000 to 20,000 rupees per ton, the supply curve of milled rice in India will decrease by 96 million tons per year.

To determine how the supply curve changes when the price of rough rice increases from 12,000 to 20,000 rupees per ton, we need to analyze the given supply function:

Q = 8 + 9p - 12p,

In the supply function, "p" represents the price of milled rice in thousands of rupees per ton. However, there is a typo in the equation provided for the supply function. It appears that the equation contains two terms with the variable "p," which should be corrected.

Assuming the corrected supply function is:

Q = 8 + 9p - 12p',

Where p' represents the price of rough rice in thousands of rupees per ton.

Now, let's calculate the initial supply quantity and then compare it with the new supply quantity after the increase in the price of rough rice.

For the initial price of rough rice (p') at 12,000 rupees per ton:

Q1 = 8 + 9p - 12(12)

Q1 = 8 + 9p - 144

For the new price of rough rice (p') at 20,000 rupees per ton:

Q2 = 8 + 9p - 12(20)

Q2 = 8 + 9p - 240

The change in supply can be calculated as the difference between Q2 and Q1:

Change in supply (ΔQ) = Q2 - Q1

= (8 + 9p - 240) - (8 + 9p - 144)

= -240 + 144

= -96

The change in supply (ΔQ) is -96 millions of tons of rice per year.

Therefore, if the price of rough rice increases from 12,000 to 20,000 rupees per ton, the supply curve of milled rice in India will decrease by 96 million tons per year.

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Answer: 1.72

Step-by-step explanation:

18.92 ÷ 11 can be rewritten as: \(\frac{18.92}{11}\).

Use long division to find the answer, as shown below:

The ones digit number is 6 of the number 22006.

Now, According to the question:

In a two-digit number, the value of the digit depends on its position in that number. At one's place, the digit which is at the extreme right is known to be like one's, whereas the digit placed at the leftmost is known to be at ten's.

We have to find the ones digit in the number 22006

Now, Considering the number is 22006

So, the ones digit number is 6

It means the last digit is the ones digit number.

In the Indian numeral system, the place values of digits go in the sequence of Ones, Tens, Hundreds, Thousands, Ten Thousand, Lakhs, Ten Lakhs, Crores and so on.

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180

-90

--------

90

-----

2

=

45

both are 45 degrees.

Answer:

16.30

Step-by-step explanation:

It is 16.30 because 8.65+7.65 = 16.30

Answer:

-5

Step-by-step explanation:

The point A is located at (-5, -7), as shown in the graph. The x-coordinate is -5,  and the y-coordinate is -7.

Answer:

X coordinate is -5

Step-by-step explanation:

Since, the value of x- axis at a time is 2 to the right and -2 to the left,the point between -4 and -6 can be noted as -5.

Then,y coordinate is also -7, since y axis also follows the same as x axis where one unit of x as well as y is 2.

Answer:Eggs =100−4=96 eggs

Cp of 96 eggs → Rs. 40Cp of 1 egg → Rs. 9640​=0.416Sp of 12 eggs →7.50 Rs.Sp of 1 egg →127.50​=0.625

Profit % =CpSp−Cp​×100=0.4160.625−0.416​×100=50.24%.

Hope it helped :]

Answer:

(2x)^2 + 2(2x)(y) + (y)^2

(2x+y)^2

Step-by-step explanation:

Answer:

x = -2/3; -20/9 so A

Step-by-step explanation:

im 100% percent sure:)

The numbers that neither terminate nor repeat are called irrational numbers.

What are irrational numbers?

Any real number that is not rational is called an irrational number. These numbers can not be expressed in the form of p/q, where q is not equal to 0. Sometimes, irrational numbers are also called non-terminating and non-repeating numbers.

Filling the blank with an appropriate term

The decimal representation of ___Irrational__ number neither terminates nor repeats.

Hence, the answer is irrational.

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Answer:

See Below.

Step-by-step explanation:

Remember that:

Where c is the longest side, and a and b are the two remaining sides.

\(4^2\text{ is }\textbf{ less than (or $<$) } 3^2+3^2\)

\(\text{Therefore, }\Delta JKL \text{ is }\textbf{an acute triangle.}\)

(16 is less than 9 + 9 or 18.)

\(5^2\text{ is } \textbf{equal to (or $=$) } 3^2+4^2\)

\(\text{Applying the same method, $\Delta ABC$ is }\textbf{ a right triangle.}\)

(25 is equal to 9 + 16 = 25.)

Answer:

less then

acute

equal to

right

Step-by-step explanation:

Answer:

0.25/6+32=32.0416666667

Step-by-step explanation:

I got this answer because i saw that the 0.25 was at the begining of the equation and i thought that was division and then the ones in perenthisis which was 6+32 and i got my answer buy using a calculater but i got the equation by my self.

Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

The eigenvalues of a are 2, 2, 5, then a is invertible matrix .

The eigenvalues are 2, 2, 5.

(A) First check the matrix is certainly invertible.

The matrix is invertible when the product of eigenvalues does not equal to zero.

invertible of A = 2*2*5

invertible of A = 20 ≠ zero.

So the matrix is certainly invertible.

(B) Now we check the matrix is certainly diagonalizable.

We note that the eigen value 2 has an algebraic multiplicity of 2 (number of repetitions), but we are unsure if the accompanying eigen vectors likewise have a count of two (geometric multiplicity)

The sum of the algebraic multiplicities must equal the sum of the geometric multiplicities in order for A to be diagonalizable.

In this instance, there is no evidence to support the geometric multiplicity of the eigenvalue 2. Therefore, we are unable to affirm that A is diagonalizable

So A can not be diagonalizable.

(C) Now we check the matrix is certainly not diagonalizable.

If the homogeneous equation from (A-⋋I)x=0 when the eigen value ⋋=2 is substituted x+y+z=0, then the solution set is x=-k-m where y=k, z=m are the parameters.

So it can be written as

\(\left[\begin{array}{ccc}x\\y\\z\end{array}\right] = k\left[\begin{array}{ccc}-1\\1\\0\end{array}\right] + m \left[\begin{array}{ccc}-1\\0\\1\end{array}\right]\)

Putting k=1 and m=1, then the corresponding eigen vectors for ⋋=2 are  

\(\left[\begin{array}{ccc}-1\\1\\0\end{array}\right] , \left[\begin{array}{ccc}-1\\0\\1\end{array}\right]\)

So the geometric multiplicity of the eigen value ⋋=2 is 2.

The algebraic multiplicity = Geometric multiplicity we can see the given matrix A is diagonalizable.

So the statement is false.

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Answer:

D.

Step-by-step explanation:

Original dimensions:

L = x

W = x

Now we reduce the width by 2 ft and increase the length by 2 ft.

L = x + 2

W = x - 2

The area is the product of the length and width.

A = LW = (x + 2)(x - 2)

The original length and width are 10 ft.

L = W = x = 10

A = LW = (10 + 2)(10 - 2) = 12 * 8 = 96

The new area is 96 sq ft.

Answer: D.

Answer:

The picture is a bit too blurry to understand, sorry.

The equilibrium points of the given nonlinear ordinary differential equation dx/dt = x^2 - x - 6 are x = -2 and x = 3.

To find the equilibrium points of the given nonlinear ordinary differential equation, we set dx/dt equal to zero and solve for x. In this case, we have:

x^2 - x - 6 = 0

Factoring the quadratic equation, we get:

(x - 3)(x + 2) = 0

Setting each factor equal to zero, we find two equilibrium points:

x - 3 = 0  -->  x = 3

x + 2 = 0  -->  x = -2

So, the equilibrium points are x = -2 and x = 3.

To determine the stability of these equilibrium points, we can analyze the behavior of the system near each point. Stability is determined by the behavior of solutions to the differential equation when perturbed from the equilibrium points.

For the equilibrium point x = -2, we can substitute this value into the original equation:

dx/dt = (-2)^2 - (-2) - 6 = 4 + 2 - 6 = 0

The derivative is zero, indicating that the system is at rest at x = -2. To analyze stability, we can consider the behavior of nearby solutions. If the solutions tend to move away from x = -2, the equilibrium point is unstable. Conversely, if the solutions tend to move towards x = -2, the equilibrium point is stable.

For the equilibrium point x = 3, we substitute this value into the original equation:

dx/dt = 3^2 - 3 - 6 = 9 - 3 - 6 = 0

Similar to the previous case, the system is at rest at x = 3. To determine stability, we analyze the behavior of nearby solutions. If the solutions move away from x = 3, the equilibrium point is unstable. If the solutions move towards x = 3, the equilibrium point is stable.

In conclusion, the equilibrium points of the given nonlinear ordinary differential equation are x = -2 and x = 3. The stability of x = -2 and x = 3 can be determined by analyzing the behavior of nearby solutions.

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Answer:

8 x 16 x 8

64 x 16

1024 is .....

Answer:

16

Step-by-step explanation:

I will assume the expression is 8x^2y^-3

8x^2y^-3

(8*(4)^2)*(2^-3)

(8*16)*(1/2^3)

(8*16)*(1/8)

16

Answer:

Radius = 3.232 cm to the nearest thousandth.

Step-by-step explanation:

Volume of a sphere = 4/3πr^3, so:

45π = 4/3πr^3     π is common to both sides, so:

45 = 4/3 r^3

r^3 = 45 * 3/4

r^3 = 33.75

r = 3.232 cm.

Answer:

the average amount of flour used each day=6.08 pounds

Step-by-step explanation:

Sam bought 86 pounds of flour for his bakery.

Every day he used the same amount of flour to make bakery items.

After 10 days, Sam was left with 25.2 pounds of flour.

Now we are asked to find the average pounds of flour that Sam used each day.

Total amount of flour used=86-25.2=60.8 pounds.

As he used the flour equal amount each day for 10 days.

So, the average flour used each day=

amount of flour used/ number of days=60.8/10=6.08.

the average amount of flour used each day=6.08 pounds

Answer:

C

Step-by-step explanation:

So since Sam have 25.2 leftover pounds of flour, we can subtract that from 86, knowing that will be left over in the end. Next, we divide the number left. 86 - 25.2 = 60.8

Finally, divide that by 10, since there are 10 days.

We end up with 6.08 pounds.