Find the amount of change from 48 to 16.

Answer:

84 feet

Step-by-step explanation:

 he will need 84 ft to cover the entire garden

Answer:

38 ft of fencing

Step-by-step explanation:

The perimeter of a rectangle is 2L + 2W, where L and W are the length and width, respectively. The dimensions of the garden are given, 7 x 12 ft.

The amount of fencing needed is 2(7) + 2(12) = 14 + 24 = 38 ft of fencing

Answer:

a ratio indicates how many times one number contains another.

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The price per ounce for the 8-ounce jar is ...

  price/ounces = $8.95/8 = $1.11875 ≈ $1.12 . . . per ounce

The price per ounce for the 10-ounce jar is ...

  $12.00/10 = $1.20 . . . per ounce

The 8-ounce jar has a lower unit price, so may be better to buy.*

__

The difference in unit prices is ...

  $1.20 -1.12 = $0.08

_____

* If you need at most 10 ounces, but more than 8, the 10-ounce jar will have a lower total cost for the amount needed. The "better buy" depends on the context.

Answer:

81/293

Step-by-step explanation:

and that is the simplest form because 293 is a prime number

dy/dx = 3/2√t

d^2y/dx^2 = -3/4t^(3/2)

At t = 4: dy/dx = 3/4, d^2y/dx^2 = -3/32

Slope at t = 4: 3/4

Concavity at t = 4: Concave down

To find dy/dx and d^2y/dx^2, we can differentiate the parametric equations x = √t and y = 3t - 4 with respect to t and then use the chain rule to find dy/dx and d^2y/dx^2.

Differentiating x = √t with respect to t, we get:

dx/dt = 1/(2√t)

To find dx/dt in terms of dx/dy, we can multiply both sides of the equation by dt/dy:

dx/dy = (1/(2√t)) * (1/(dy/dt))

Since dy/dx = 1/(dx/dy), we can rearrange the equation to solve for dy/dx:

dy/dx = (dy/dt) / (dx/dt)

= (3) / (1/(2√t))

= 3/2√t

Therefore, the slope dy/dx at any value of t is 3/2√t.

Next, let's find the second derivative d^2y/dx^2. To do this, we differentiate dy/dx with respect to t:

d(dy/dx)/dt = d(3/2√t)/dt

= -(3/4)t^(-3/2)

Using the chain rule again, we can find d^2y/dx^2 in terms of d^2y/dt^2:

d^2y/dx^2 = (d^2y/dt^2) / (dx/dt)^3

Plugging in the values, we have:

d^2y/dx^2 = (-(3/4)t^(-3/2)) / ((1/(2√t))^3)

= -(3/4)t^(-3/2) / (1/(8t^(3/2)))

= -3/4t^(3/2) * 8t^(3/2)

= -3/32

Therefore, the second derivative d^2y/dx^2 at any value of t is -3/32.

Finally, we can evaluate the slope and concavity at the given value t = 4:

Slope at t = 4: dy/dx = 3/2√t = 3/2√4 = 3/4

Concavity at t = 4: Since d^2y/dx^2 = -3/32, which is negative, the curve is concave down at t = 4.

So, the slope at t = 4 is 3/4, and the concavity at t = 4 is concave down.

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The altitudes of a triangle are the perpendicular lines drawn from each vertex of the triangle to the opposite side.

The altitudes of a triangle are special lines that are perpendicular to the sides of the triangle. They are drawn from each vertex of the triangle to the opposite side. These lines intersect the opposite side at right angles. The intersection point is called the orthocenter of the triangle. Each triangle has three altitudes, one from each vertex. The lengths of the altitudes can vary depending on the shape and size of the triangle.

The altitudes of a triangle are useful in many geometric calculations and constructions. They help determine the height of the triangle, which is important in finding the area of the triangle. The altitudes also play a role in proving geometric theorems and properties related to triangles.

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Using Compund interest formula, we can say that total Rs. 67 lakh and sixty thousand is owned by Sunil to the bank after 2 years .

Compound Interest Formulas :

You can also use the principal and interest rate to find compound interest. H. Total interest on principal and accrued interest not repaid within the repayment period. The compound interest formula is:

A = P( 1 + r/100)ᵗ

where A --> amount to pay by person after t years

P --> amount borrowed by person

r ---> rate of interest annually

t-----> time period

We have given that,

The amount borrowed by Sunil for education loan(P) = Rs. 40 lakh

Rate of interest (r) = 30% per annum

Interest is compunded annually.

time period (t) = 2 years

we have to calculate the amount to pay by Sunil after two years .

putting all known values in above formula,

A = 40,00000 ( 1+ 30/100)²

=> A = 40,00000(13/10)²

=> A = 40,00000×13×13/100

=> A = 40,000×169

=> A = 67,60,000

Hence, the amount that Sunil own to bank after two year is 67 lakh sixty thousand.

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Answer:y=-1/4x+5/4

Step-by-step explanation:

Perpendicular means the slope has to be the negative reciprocal.

Since the slope is currently 4, the perpendicular slope is -1/4.

It also has to pass through the point 1,1 , so you just plug x in which will be

1*-1/4=-1/4. from 1 to -1/4, its 5/4, so that's your b in y = mx+b

The equation will then be y=-1/4x+5/4

The sample can be unrepresentative of all possible readers of the author's works as it mainly consists of people who have previously ordered her novels through particular book clubs.

The number of observations utilized to calculate estimates for a given population is referred to as the sample size. From the population, a sample size was chosen. The term "sample size" describes the number of subjects or observations that make up a study. n is typically used to represent this number. The sample size influences two statistical characteristics: 1) The precision of our estimates; 2) The ability of research to produce inferences. The results of random tests are the samples. When sampling a random variable, a particular value is chosen from a range of potential values. A sample is this specific value. The random variable's probability distribution determines the possible values and their probabilities.

First off, the sample solely consists of people who have already purchased her novels from the chosen book clubs. As a result, the sample does not include readers who purchase her books via independent bookstores or internet merchants, for example. Compared to those who ordered through the book clubs, these readers could have different thoughts on the new storylines.

Second, there may be selection bias because the sample is only made up of people who have read the author's works in the past. O

As a result, the sample can be unrepresentative of all possible readers of the author's works as it mainly consists of people who have previously ordered her novels through particular book clubs.

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Answer:

minimum

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Since points B and G are both on the same horizontal line, the distance between them is just the horizontal distance between them which is the absolute value of the difference of their x-coordinates.

distance = |-3 - 1| = |-4| = 4

Answer: 4

Answer:

Step-by-step explanation:

3/4 and 8/9 both lie between 0 and 1.  Their LCD is 36.

Thus, 3/4 = 27/36 and 8/9 = 32/36.

Dividing the number line between 0 and 1 into 36 equal lengths, plot a dot at the 27th such mark and then another dot at the 32nd mark.

This clearly shows that 32/36 is larger than 27/36.

The inverse matrix of the given matrix is

\(\left[\begin{array}{ccc}3/2&-2\\-1/2&1\end{array}\right]\)

What is meant by inverse matrix?

If A is a non-singular square matrix, then A^-1, often known as the inverse matrix of A, must exist if it is to satisfy the following property:

AA^-1 = A^-1A = I, Where I is the Identity matrix

Now, we will first find the determinant of the given matrix, whichis as follows:

Determinant = 6-4 = 2

Since, the determinant is not zero, this means that the inverse matrix exists.

Now, let's find the inverse matrix i.e. A^-1

\(A^{-1} = \frac{1}{D} \left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right]\)

\(A^{-1} = \frac{1}{2} \left[\begin{array}{ccc}3&-4\\-1&2\end{array}\right]\)

\(A^{-1} = \left[\begin{array}{ccc}3/2&-4/2\\-1/2&2/2\end{array}\right]\)

\(A^{-1} = \left[\begin{array}{ccc}3/2&-2\\-1/2&1\end{array}\right]\)

Hence, the inverse matrix of the given matrix is as under

\(\left[\begin{array}{ccc}3/2&-2\\-1/2&1\end{array}\right]\)

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The mean, median, mode, and midrange are 13, 13, 13 ,1 7 respectively.

To find the mean, median, mode, and midrange of the given set of numbers: 9, 9, 10, 11, 13, 13, 13, 14, 25.

Mean:

The mean is calculated by summing up all the numbers in the set and dividing it by the total count of numbers.

Mean = (9 + 9 + 10 + 11 + 13 + 13 + 13 + 14 + 25) / 9 = 117 / 9 = 13

Median:

The median is the middle value of a sorted list of numbers. To find the median, we first sort the numbers in ascending order.

Sorted set: 9, 9, 10, 11, 13, 13, 13, 14, 25

Since there are 9 numbers, the median will be the middle value, which is the 5th number.

Median = 13

Mode:

The mode is the value(s) that appear most frequently in the set. In this case, the number 13 appears three times, which is more than any other number in the set.

Mode = 13

Midrange:

The midrange is calculated by finding the average of the maximum and minimum values in the set.

Midrange = (min + max) / 2 = (9 + 25) / 2 = 34 / 2 = 17

Therefore, the mean is 13, the median is 13, the mode is 13, and the midrange is 17 for the given set of numbers.

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\(\begin{array}{llll} 3+10(1)\\ 3+10(2)\\ 3+10(3)\\ 3+10(4)\\ \end{array}\hspace{5em}\displaystyle\sum_{n=1}^{4}3+10n\)

Answer:

Step-by-step explanation:

If the product of two binomials, u(x) and v(x)has a binomial of degree 8, then the individual binomial will have a binomial of degree 4. For example, lets assume u(x) = ax⁴ + bx and v(x) ax⁴+cx. Note that they are both functions of x and contain only two terms since they are binomial.

Taking their product we have;

u(x)*v(x) =  (ax⁴ + bx)*(ax⁴+cx)

u(x)*v(x) = a²x⁸+acx⁵+abx⁵+bcx²

it can be seen that the higest power of x is 8 which gives the degree of the product.

Taking their sum;

u(x)+v(x) =   (ax⁴ + bx)+(ax⁴+cx)

u(x)+v(x) = ax⁴ + ax⁴+ bx +cx

u(x)+v(x)  = 2ax⁴ + bx +cx

It can be seen that the digest power of x is 4 which gives the degree of the sum of the binomial.

From the above conclusion, it can be inferred that  sum of u(x) and v(x) is a binomial of degree 4 with a positive or negative leading coefficient depending on the value of the constant 'a'

Answer:

It is a function

Step-by-step explanation:

The x-values do not repeat so it is a function.

The pen must have it's length from any value greater than 9 for it's area to be greater than 225 squared feet

In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own.

Inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions

Given that the area (A) must be greater than 225 squared feet, the width is 25 feet.

Assuming the pen is rectangular in shape;

A = L * W

L * 25 > 225

25L > 225

solving for L

L > 225/25

L > 9

The possible lengths for the pen are values greater than 9

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Answer:

I think -6

Step-by-step explanation:

-12 +6 is -6 so -6 + -6 =-12

Answer:

garal 45 students to participate in tennis out of this it into an event other than running what percentage of the students do another event it is 45 - 18 and you will get a number and that answer you multiply it by hundred and divide 100 then it will give you an answer

Answer:

\(40\%\)

\( \frac{18}{45} \times 100\)

\( \frac{18}{9} \times 20\)

\(2 \times 20\)

\( = 40\)

Step-by-step explanation:

\(hope \: it \: helps \: you \: \)

Answer:

233-19.2225=213.7775

Step-by-step explanation:

Answer:

8.25% of $233 should be $28.24 bringing the total to $261.24

Answer:

900

Step-by-step explanation:

A=S^2

50265=SxS

S=√50265

S=225

P=Sx4

P=225x4

P=900

Answer:

Each undershirt costs $2.99 when purchased individually.

Step-by-step explanation:

The problem says that $13.98 is $3.96 less than the cost of buying 6 individual shirts which means that the total cost of buying 6 individual shirts is $17.94.

To find the price of 1 individual shirt, you divide 17.94 by 6. When you do this, you get $2.99. $2.99 is the cost of each undershirt when purchased individually.

Hope this helps!

Answer:

x=4

Step-by-step explanation:

First we Divide both sides by 4 so we can just get x

For example

4x=16

x=4  We divided both sides by 4 because we need to get x and the reason why we also divided 16 by 4 is because what you do to one side you do to the other to keep the values  consistent

Hope I could help !

Answer:

3/14

Step-by-step explanation:

1 1/4 can be written as 5/4

5 5/6 can be written as 35/6

so divide (5/4)/(35/6)

= (5/4)*(6/35)

=(1/4)*(6/7)

=6/28

simplified = 3/14

Answer:

A. x = 1/4

Step-by-step explanation:

Simplify the equation:

(3x^2+1)/(x-1) + x = 4 + 4/(x-1)

(3x^2+1-4)/(x-1) = 4-x

(3x^2-3)/(x-1) = 4-x

Since (3x^2-3) = 3(x^2-1) and x^2-1 = (x+1)(x-1), substitute 3x^2-3 for 3(x+1)(x-1)

3(x+1)(x-1)/(x-1) = 4-x

Cancel (x-1) from the numerator and denominator:

3(x+1) = 4-x

Isolate x:

3(x+1) = 4-x

3x+3 = 4-x

4x = 1

x = 1/4.

x = 1/4 is the only valid solution unless both sides being undefined would count as a valid equation, then x = 1 would also be valid.