Find the indicated one-sided limits, if they exist. (if an answer does not exist, enter dne.)

Answer:

Initially 18,500 students

Every 1 year

increase by a factor 1.03

Step-by-step explanation:

The missing information is selected from the given options from the drop down menu. The correct answers are : Initially 18,500 students enroll at the university. Every 1 years the number of students who enroll at the university increases by a factor 1.03.

F(t) = 18,500 * (1.03)^t

Answer:

(4,6,4,-8,-3)

Step-by-step explanation:

Domain means of function is the set of all possible inputs for function

Step-by-step explanation:

First, we put the expressions in multiplication form:

(7x2y3)×(3x5y8)(7x2y3)×(3x5y8)

We multiply like terms:

(7x2×3x5)(y3×y8)(7x2×3x5)(y3×y8)

We multiply the coefficients and add the exponents:

21x2+5y3+821x2+5y3+8

Solving, we obtain:

21x7y11

Hello!

\(\large\boxed{21x^7y^{11}}}\)

(7x²y³)(3x⁵y⁸)

Multiply by ADDING exponents with the same base:

(7 * 3) (x² * x⁵) (y³ * y⁸)

21 * x² ⁺ ⁵ * y³ ⁺ ⁸

Simplify:

21 * x⁷ * y¹¹

21x⁷y¹¹

Answer:

let's convert the 25 yards into feets -> 75 feet of wire.

now let's subtract the alrdy used 15 ½ feet from we that

we got 59 ½ feet left

now let's just take ⅓ of this, just by dividing by 3.

since this seems to be a mess in calculation, let's put in the effort to convert in into inches first.

59 ½ feet = 59½*12 inches = 714 feet

now we should be able to take ⅓ of it cleanly (since we just multiplied by 12)

⅓ of 714 is just as dividing 714 by 3

= 238

the time machine needs 238 inches of wire

this isn't just picking an answer tough, on the bottom of the exercises are the unit conversations

Answer:

60 : 100

Step-by-step explanation:

60% = 60/100

Answer:

1st Option

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

Step 1: Find the missing leg

2² + b² = 6²

b² = 36 - 4

b = √32

Step 2: Find cosA

cosA = √32/6

cosA = 4√2/6

cosA = 2√2/3

Answer:

Formulae: Density = Mass ÷ Volume

First, we need to calculate the volume in order to find density. But we can see that the given width is in millimetres, so we'll proceed to convert it to cm as how the formula is as well as the rest of the measurements given.

Now, we can find the volume:

Let;

Density = mass ÷ volume

In nearest tenth:

Answer:

Step-by-step explanation:

D = 12,483 ÷ 646.8

D = 19.2996289

In nearest tenth:

D = 20 g/cm³ (20 grams per cm³)

Answer:

the answer is C

Step-by-step explanation:

it it can be calculated by using simple quadratic formula

The school can form three sides of a rectangular playground using 320 meters of fencing by creating two equal-length sides perpendicular to the school building and a longer side opposite to the building.

The length of the longer side will be 160 meters, and the two equal-length sides will be 80 meters each. To form a rectangular playground with three sides using 320 meters of fencing, the school needs to consider the perimeter of the rectangle. Let's assume the length of the longer side opposite to the school building is "L" meters. The other two equal-length sides perpendicular to the building will be "W" meters each.

The perimeter of a rectangle is given by the formula P = 2L + 2W, where P is the perimeter. In this case, P is equal to 320 meters. Substituting the given values, we have 320 = 2L + 2W.

Since the playground borders the school building, one side of the rectangle does not need fencing. Therefore, the school needs to consider three sides only. One side is the longer side opposite the building, and the other two sides are equal in length and perpendicular to the building.

Since the two equal-length sides are perpendicular, they are half the length of the longer side. Therefore, W = L/2.

Substituting this relationship into the perimeter equation, we get 320 = 2L + 2(L/2). Simplifying further, we have 320 = 2L + L, which becomes 3L = 320.

Solving for L, we find L = 320/3 = 106.67 meters.

Therefore, the length of the longer side is approximately 106.67 meters, and the two equal-length sides are half that length, which is approximately 53.33 meters each. Rounding these values, we have the longer side measuring approximately 160 meters and the two equal-length sides measuring approximately 80 meters each.

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By answering the presented question, we may conclude that from the given graph we can say that zeros are = (-3,-1 ) and (--5,-9) ; y - intercept is, y = -2x/3 + 15 and vertex are = (-0-1)

Mathematicians use graphs to visually display or chart facts or values in order to express them coherently. A graph point usually represents a connection between two or more items. A graph, a non-linear data structure, is made up of nodes (or vertices) and edges. Glue the nodes, also known as vertices, together. This graph includes V=1, 2, 3, 5, and E=1, 2, 1, 3, 2, 4, and (2.5). (3.5). (4.5). Statistical graphs (bar graphs, pie graphs, line graphs, and so on) are graphical representations of exponential development. a logarithmic graph shaped like a triangle.

from the given graph we can say that

zeros are = (-3,-1 ) and (--5,-9)

y - intercept is, y = -2x/3 + 15

vertex are = (-0-1)

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Step-by-step explanation:

Only Q4 has clear details

therefore, solving Question 4,

1 euro = $1.17

then,  €20.46 =20.46×1.17 = $23.93.

1 pound =1.28 dollars.

then,  £12.60 = 12.60×1.28 =$16.128

therefore, MP3 in pound is cheaper in dollar by $7.81.

Answer:

\(2\sqrt[4]{3}\)

Step-by-step explanation:

\(48^\frac{1}{4} = \sqrt[4]{48} = \sqrt[4]{2*2*2*2*3} = 2\sqrt[4]{3}\)

The given expression can be written in simplest radical form as 2\(\sqrt[4]{3}\).

In order to write an exponent in radical form, first take the prime factors of the given number and then put the remaining numbers that are left out in the radical form.

The given expression is \(48^{1/4}\).

The prime factorization of 48 gives 48 = 2 × 2 × 2 × 2 × 3

It can be written in simplest radical form as follows,

\(48^{1/4}\) = \((2 \times 2 \times 2 \times 2 \times 3)^{1/4}\)

        = 2 × \(3^{1/4}\)

        = 2\(\sqrt[4]{3}\)

Hence, the radical form of given expression is 2\(\sqrt[4]{3}\).

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Answer:

|x| = 8

Answer: x = 8, -8

Step-by-step explanation:

| | this symbol represents absolute value. When you remove absolute value it creates a ± sign on the opposite side.

x = ± 8

This means x = 8 and x = -8

The solutions are 8 and -8.

The answer to choosing the coefficient with the greatest value involves analyzing the equation and identifying the term with the highest coefficient.

The coefficient is the numerical value that is attached to a variable in an equation. In some cases, the coefficient with the greatest value may indicate the most significant factor in the equation.

Let us consider the quadratic equation y = ax² + bx + c, where a, b, and c are coefficients. The coefficient of the squared term (a) determines the shape of the parabola and its concavity. Therefore, if we want to know the point at which the parabola changes direction, we can determine the value of a and compare it with the values of b and c.

In some cases, choosing the coefficient with the greatest value may be necessary for optimization purposes. For instance, if we are trying to maximize profit, we may need to identify the variable that has the greatest impact on our profit margin and focus our efforts on that particular variable.

In conclusion, choosing the coefficient with the greatest value requires a careful analysis of the equation and an understanding of the significance of each term.

It may involve considering the impact of each coefficient on the overall outcome and determining which variable is the most important.

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The function f can be implemented using a single 4-to-1 multiplexer and two inverters.

A 4-to-1 multiplexer is a digital logic component that selects one of four input signals based on the select lines. It has four data inputs (D0, D1, D2, D3), two select lines (S0, S1), and one output (Y). By properly connecting the inputs and select lines, we can realize the desired function f.

To implement the function f using a single 4-to-1 multiplexer and two inverters, we need to carefully assign the input signals and select lines to achieve the desired behavior. The truth table of the function f will guide us in determining the appropriate connections.

First, we can use the inverters to complement the required inputs if needed. Then, we can connect the complemented and uncomplemented inputs to the select lines of the multiplexer. The output of the multiplexer will be the result of the function f.

By carefully selecting the input assignments and connections, we can effectively implement the function f using a single 4-to-1 multiplexer and two inverters. This approach offers a compact and efficient solution for realizing the desired logic function.

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120 middle schοοl students prefer the dοcumentaries televisiοn genre.

A percentage in mathematics is a number οr ratiο that can be expressed as a fractiοn οf 100. If we need tο calculate a percentage οf a number, we shοuld divide it by 100 and multiply the result. Therefοre, the percentage refers tο a part per hundred. Per 100 is what the wοrd percentage means. The symbοl "%" is used tο represent it.

The tοtal is 100%.  Subtract the οther parts οf the circle tο find the percent fοr spοrts.

100 - 14 -22-20 -20

24

Spοrts is 24%

Multiply the number οf students by the percentage οf students that prefer spοrts

500 *24%

500 *.24

120

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Answer:

G

Step-by-step explanation:

3.6÷-0.5 is -7.2, so it's G

Answer:

p = 10

m = 5

Step-by-step explanation:

2p - 5 = p + 5

2p - p = 5 + 5 add like terms

p = 10

The given triangle is an isosceles triangle and IJ = IH

10 = 2m divide both sides by 2

5 = m

Answer:

Tn = -n^2 - n + 21 is the formula for the nth term.

Step-by-step explanation:

The second differences are all equal in this quadratic sequence.

Now, the quadratic sequence has a formula of Tn = an^2 + bn + c

Find the value of a in an^2 by dividing the difference by 2:

-2/2 = -1

a = -1

Since T1 is 19 and T2 is 15 we can put that into the equation and simplify:

b + c = 20

2b +  c = 19

Thus, b = -1 , c = 19 and the general formula for the nth term is Tn = -n^2 - n + 21

Answer:

Tn = -n^2 - n + 21

Answer:

Step-by-step explanation:

3 cups for 15 packets would be 5 packets for each cup. So 1 cup is 5 packets of trail mix. Which means 5×90= 45

The answer is 45.

Answer:

\(3x,-4xy,10y,\text{ and }1\).

Step-by-step explanation:

Single numbers, variables and product of number and variables are know as terms. In an algebraic expression each term is separated by an addition "+" sign.

The given expression is

\(3x-4xy+10y+1\)

It can be written as

\(3x+(-4xy)+10y+1\)

Therefore, the terms are \(3x,-4xy,10y,\text{ and }1\).

We can rewrite \(e^(2y + C) as K * e^(2y),\) where K = \(e^C\) Let's solve the given differential equations one by one:

To solve the equation dy/dx = x^3 + 2y^2, we can rearrange it as dy/(x^3 + 2y^2) = dx. Then integrate both sides:

∫(1/(x^3 + 2y^2)) dy = ∫dx.

Integrating the left-hand side requires some manipulation. Let's substitute y^2 with u to simplify the integral:

∫(1/(x^3 + 2u)) dy = ∫dx.

Taking the derivative of u with respect to x, we get:

du/dx = 2y * dy/dx.

Substituting dy/dx from the original equation, we have:

du/dx = 2y * (x^3 + 2y^2).

Now, rewrite the equation as:

du/(x^3 + 2u) = 2y * dx.

Integrating both sides gives us:

∫(1/(x^3 + 2u)) du = ∫(2y) dx.

The integral on the left-hand side can be solved using partial fractions. Let A and B be constants such that:

1/(x^3 + 2u) = A/(x + √2u) + B/(x - √2u).

By equating the numerators, we get:

1 = A(x - √2u) + B(x + √2u).

Expanding and simplifying:

1 = (A + B)x + (A√2 - B√2)u.

Matching the coefficients of x and u, we have:

A + B = 0 ... (1)

A√2 - B√2 = 1 ... (2).

From equation (1), we have B = -A. Substituting it into equation (2), we get:

A√2 + A√2 = 1,

2A√2 = 1,

A = 1/(2√2) = √2/4.

Thus, B = -A = -√2/4.

The integral becomes:

∫(1/(x^3 + 2u)) du = (√2/4)∫(1/(x + √2u)) du - (√2/4)∫(1/(x - √2u)) du.

Using u = y^2, we can rewrite it as:

(1/√2)∫(1/(x + √2y^2)) du - (1/√2)∫(1/(x - √2y^2)) du.

Now, we integrate each term separately:

(1/√2)ln|x + √2y^2| - (1/√2)ln|x - √2y^2| = √2y + C.

Simplifying further:

ln|x + √2y^2| - ln|x - √2y^2| = 2y + C.

Applying the logarithmic property ln(a) - ln(b) = ln(a/b), we have:

ln((x + √2y^2)/(x - √2y^2)) = 2y + C.

Exponentiating both sides:

(x + √2y^2)/(x - √2y^2) = e^(2y + C).

We can rewrite e^(2y + C) as K * e^(2y), where K = e^C

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Answer:

- 1/2 7/12 2/3 . 82

Am I right

The sample space for the arrangement of a teddy bear (t), a kitten (k), and an elephant (e) is tke, tek, kte, ket, etk and ekt

The given parameters are

Stuffed toys, n = 3

Toys to arrange, r = 3 i.e. teddy bear (t), a kitten (k), and an elephant (e).

The number of arrangement is calculated as;

Ways = nPr

Substitute the known values in the above equation

Ways = 3Pr

Apply the permutation formula

Ways = 3!/0!

0! =1

So, we have

Ways = 3!/1

This gives

Ways = 3!

Expand

Ways = 3 * 2 * 1

Evaluate

Ways = 6

This means that the sample size is 6

Hence, the sample space for the arrangement of a teddy bear (t), a kitten (k), and an elephant (e) is tke, tek, kte, ket, etk and ekt

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Step-by-step explanation:

yes they are because they have the same variables which are X& Y

Answer:

5yx-7xy

they are like terms, it's all multiplication just a different arrangement

5xy-7xy=-2xy

Step-by-step explanation:

hope this is helpful