I WILL MARK BRIANLIEST PLEASE HELP!!!

The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

We have,

To evaluate the limit of the expression as x approaches 0, we can simplify the expression first.

The expression is given as lim(x approaches 0) (cosec(2x) - x cosec³(x)).

Using trigonometric identities, we can rewrite cosec(2x) as 1/sin(2x) and cosec³(x) as 1/(sin(x))³.

Substituting these into the expression,

We get lim(x approaches 0) (1/sin(2x) - x (1/(sin(x))³)).

Now, let's evaluate the limit term by term:

lim(x approaches 0) (1/sin(2x)) = 1/sin(0) = 1/0 (which is undefined).

lim(x approaches 0) (x (1/(sin(x))³))

= 0 (1/(sin(0))³)

= 0 x 1/0 (which is also undefined).

Since both terms of the expression are undefined as x approaches 0, we cannot determine the limit of the expression.

Therefore,

The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

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Answer:

There appears to be some part of the question missing. Assuming it asks about the volume, the volume is:

Step-by-step explanation:

The volume of a right rectangular prism may be calculated using the formula:

whl, where w is width, h is height and l is length.

In this case it is hlw or (5.8*14.5*3.5) = 294.35 cubic inches.

Answer: 8 ft

Step-by-step explanation:To find the correct answer, use the formula, V=l×w×h. Substitute 48 for the volume, 2 for width, and 3 for height. Then, use a related division equation to find the length.

48 = l × 2 × 3

48 = l × 6, so 48 ÷ 6 = l

8 = l

The length of the planter box is 8 feet.

Answer:

$85

Step-by-step explanation:

Rachel will earn $85 because her hourly wage is $8.5.

Hope this helps! c:

Answer:

She would earn 85$

Step-by-step explanation:

If you divied 34 by 4 you get 8.5 then you times that by 10 you get 85.

Answer:

A:  \(\frac{4}{7}\)=\(\frac{7.04}{x}\)

Step-by-step explanation:

Khan Academy

Answer:

Loading,please wait...

Step-by-step explanation:

Answer:

⁵/₃ ln 2

Step-by-step explanation:

∫₀¹ ∫√ₓ¹ 5 / (y³ + 1) dy dx

We want to change the order of integration.  To do this, we start by graphing the region contained by the four limits.

x = 0, x = 1

y = √x, y = 1

(Notice that y = √x is the same as x = y²).

Once we've graphed the region, we need to write the domain of x in terms of y.  In this case, 0 < x < y².

Then, we find the range: 0 < y < 1.

Now we can rewrite the integral:

∫₀¹ ∫₀ʸ² 5 / (y³ + 1) dx dy

Notice that the integrand itself, 5 / (y³ + 1), does not change.  Only the limits have changed.

Solve the integral.

∫₀¹ [ 5 / (y³ + 1) x |₀ʸ² ] dy

∫₀¹ [ 5y² / (y³ + 1) ] dy

⁵/₃ ∫₀¹ [ 3y² / (y³ + 1) ] dy

(⁵/₃ ln|y³ + 1|) |₀¹

⁵/₃ ln|1³ + 1| − ⁵/₃ ln|0³ + 1|

⁵/₃ ln 2

The areas of the parallelograms compare by option : A. The area of parallelograms 1 is 4 square units greater than the area of parallelogram 2.

Note that the part that is filled by a flat form or the surface of an item is called the  area.

Note that:

A₁ =  the area of parallelogram 1

A₁ = the area of parallelogram 2

l₁ = the distance between the points that is (2,6),(0,2)

l₂ = the distance between the points that is (4,0)(0,2)

b₁ = the distance between the points  that is (2,0),(0,-2)

b₂ = the distance between the points that is (2,6),(4,-6)

So

A₁ =  l₁ × b₁

=4.47 ×4.47

19.89 sq. unit

A₂= l₂×b₂

2.82 × 6.342

17.88 sq. unit

A₁-A₂ = 19.89 sq. unit - 17.88  sq. unit'

         =  2.01

Therefore, The areas of the parallelograms compare by option : A. The area of parallelograms 1 is 4 square units greater than the area of parallelogram 2.

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1 imperial foot has approximately 30.48 metric centimeters, and for one present we need 3 ft, or namely 3(30.48) cm, how many can we get from 102 cm?   102 ÷ 3(30.48) ≈ 1.1155, so barely just one present.

Answer:

1 present

Step-by-step explanation:

3 feet = 36 inches

1 inch = 2.54 cm, so 36 in = 36*2.54cm = 91.44cm

Each present is 91.44 cm, and 102 cm of ribbon can only be used to wrap one present.

The answer is 1 present

Hope this helps :)

Have a great day!

Answer: first one

Step-by-step explanation:

The zeros of the function f(x) = 2x⁴ + 11x³ + 16x² + x - 6 are x = -3, x = -2,

x = -1 and x = 1/2 respectively

The zero of a real-, complex-, or generally vector-valued function f, is a member x of the domain of f such that f(x) vanishes at x; that is, the function f attains the value of 0 at x, or equivalently, x is the solution to the equation f(x) = 0. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.

In the given problem, the zero of the function;

f(x) = 2x⁴ + 11x³ + 16x² + x - 6; -3 are

f(-3) = 2(-3)⁴ + 11(-3)³ + 16(-3)² -3 - 6 = 0

f(-2) = 2(-2)⁴ + 11(-2)³ + 16(-2)² - 2 - 6 = 0

f(-1) = 2(-1)⁴ + 11(-1)³ + 16(-1)² - 1 - 6 = 0

f(1/2) = 2(1/2)⁴ + 11(1/2)³ + 16(1/2)² - 1/2 - 6 = 0

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The polynomial with complex coefficients of the smallest possible degree is found as: P(x) = x⁴ + 17x² + 16.

The given zeroes for the polynomial is-

4i and 1i.

From the conjugate zeroes theorem, for the polynomial having eal coefficients.

Then, -4i and -i is also the zeroes of the polynomial.

Thus, forming the polynomial P(x).

P(x) = (x + i)(x - i).(x + 4i)(x - 4i)

Using the property.

P(x) = (x² - i²).(x² - (4i)²)

We know that, i² = -1

P(x) = (x² + 1).(x² + 16)

Simplifying the equation;

P(x) = x⁴ + 17x² + 16

In which the coefficient of the highest power (x⁴) is 1.

Thus, the polynomial with complex coefficients of the smallest possible degree is found as: P(x) = x⁴ + 17x² + 16.

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38 cupcakes can Eric make.  

percentage, a relative value indicating hundredth parts of any quantity.

According to the recipe, one cupcake requires 25% sugar, 25% egg, and 50% flour.

To convert the percentages to actual quantities, we can multiply the amount of each ingredient by 20 (the weight of one cupcake) and divide by 100.

Sugar: 25% × 20g = 5g

Egg: 25% × 20g = 5g

Flour: 50% × 20g = 10g

Eric has 200 grams of egg,

200g / 5g = 40 cupcakes.

Eric has 380 grams of flour

380g / 10g = 38 cupcakes.

Hence, 38 cupcakes can Eric make.

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The graph of y = x^2 should be translated by 1 unit to the right and 3 units up.

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

In Mathematics, a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

Therefore, we have the following:

f(x) = x^2

g(x) = f(x - 1) + N

g(x) = (x - 1)^2 + 3

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Answer:

3         8

18       48

22.5   60

27       72

Step-by-step explanation:

3:8 ratio

18/3=6

8*6=48

Answer:

48

60

72

Step-by-step explanation:

1. Find the number of times x or the first column numbers are multiplied to get y or the second column numbers.

2. Equation: 3*?=8, ? = 8/3

3. Multiply all of the other numbers by 8/3 to get the answers.

4. 3*8/3=8, 18*8/3=48, 22.5*8/3=60, 27*8/3=72.

Answers: 48, 60, 72

The simplified expression of (4⁴)⁻¹  is one over four raised to the fourth power

The expression can be simplified as follows:

(4⁴)⁻¹

Therefore, the expression can be simplified using laws of indices.

\((a^{c} )^{b} = a^{cb}\)

and

\((a^{-b} )^{c} = \frac{1}{a^{bc} }\)

Therefore, using the laws of indices, the expression can be simplified below:

(4⁴)⁻¹  = 4⁻⁴

Hence,

4⁻⁴ = 1 / 4⁴ = (1 / 4)⁴

Hence,

(4⁴)⁻¹  = 1 / 4⁴ = (1 / 4)⁴

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To calculate the interest charged on a credit card account, we need to consider the average daily balance and the annual percentage rate (APR). Let's break down the calculations step by step for the given scenario.

1. April 1: Starting balance of $552.

2. April 10: Made a $119 purchase. The balance is now $552 + $119 = $671.

3. April 24: Made a $25 gift card purchase. The balance is now $671 + $25 = $696.

4. April 29: Made a $150 payment. The balance is reduced to $696 - $150 = $546.

Now, let's calculate the average daily balance for the billing cycle in April. The billing cycle can vary depending on the number of days in the month. Assuming April has 30 days, we calculate the average daily balance as follows:

Average Daily Balance = (Total balance for the month) / (Number of days in the month)

Total balance = Starting balance + Purchases - Payments = $552 + $119 + $25 - $150 = $546.

Number of days = 30 (April has 30 days).

Average Daily Balance = $546 / 30 = $18.20.

Now, we can calculate the interest charged for the billing cycle. The APR is 26.49%, which needs to be converted to a daily rate by dividing it by the number of days in a year (365):

Daily Interest Rate = (APR / 365) = (26.49% / 365) = 0.0725%.

Interest Charged = (Average Daily Balance) * (Daily Interest Rate) * (Number of days in the billing cycle)

Interest Charged = $18.20 * (0.000725) * 30 = $0.3969.

Therefore, the interest charged on the credit card account for the April billing cycle is approximately $0.40.

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Answer:

y = 5

Step-by-step explanation:

\(14y-7y=35\\7y=35\\y=5\)

14 minus 7 is 7

7Y is equal to 35

divide both sides by 7 is equal to 5

Answer:

11x+5

Step-by-step explanation:

1/4(8x + 20) + 9x

Distribute

1/4 *8x + 1/4 * 20 +9x

2x+5+9x

Combine like terms

11x+5

Given data:

The expression for the absolute value of -10 is,

Thus, Samuel is right absolute value of -10 is greater than 9.

Answer:

4/6 and 2/6

Step-by-step explanation:

2/3 = 4/6

1/3 = 2/6

4/6 + 2/6 = 6/6 = 1

Answer:

12.5

Step-by-step explanation:

took this test

First, i will multiply 122,222 x 0.09 which is equal to 10,999.98 Then, i will subtract 10,999.98 from 122,222 which is equal to 111,222.02. so the direct marketing sales this year are 111,222.02.

The equation of the axis of symmetry of the parabola is equal to x = 4.

In this problem we find the representation of a parabola whose axis of symmetry is parallel with y-axis. The axis of symmetry passes through the vertex of the parabola. The definitions of the vertex and the axis of symmetry are, respectively:

Vertex

(x, y) = (h, k)

Axis of symmetry

x = h

If we know that h = - 4, then the equation of axis of symmetry is x = 4.

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Answer:

Solution given:

The opposite of -1.5 is 1.5

note:

Just multiply by - or change its sigh .

Cylindrical Shells Method: volume = 2π∫0^5 x (x^3) dx = 2π∫0^5 x^4 dx = 2π[x^5/5]^5_0 = 2π(5^5/5) = 200π.

To find the volume of the solid generated by rotating the region bounded by the given curves (y = x^3 and y = 0) around the y-axis, we use the Cylindrical Shells Method. First, we need to set up the integral. We have 2π∫0^5 x (x^3) dx. To solve this integral, we use the power rule for integration. This states that if we have an integral of x^n, the antiderivative is x^(n+1)/(n+1). Therefore, the antiderivative of our integral is 2π∫0^5 x^4 dx. Now that we have the antiderivative, we can solve the integral by applying the fundamental theorem of calculus. This states that the integral of a function is equal to the difference between the evaluated antiderivative at the upper and lower limits of the integral. Therefore, the volume of the solid generated is V = 2π[x^5/5]^5_0 = 2π(5^5/5) = 200π.

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Answer:

Second term of this sequence: \(10\).

Third term of this sequence: \(20\).

Step-by-step explanation:

The first step is to find the common ratio of this sequence.

In a geometric sequence, multiply one term by the common ratio to find an expression for the next term. Let \(r\) denote the common ratio of this sequence. For this sequence:

However, the question states that the value of the fourth term is \(40\). In other words, \(5\, r^{3} = 40\).

Solve this equation for \(r\):

\(r^{3} = 8\).

\(r = 2\).

(Since the power of \(r\) is non-even in the equation, there's no need to consider the sign of \(r\!\) when taking the cube root.)

Substitute \(r = 2\) into the expression for the second term and the third term to find their values:

Answer:

In mathematics, we call multiplying a number by itself “squaring” the number. We call the result of squaring a whole number a square or a perfect square. A perfect square is any number that can be written as a whole number raised to the power of 2. For example, 9 is a perfect square.

Step-by-step explanation:

Answer:

The simplest way to teach middle school math scale drawings is to use real pictures to relate to each other to explain the concept. For example, scaling a red ball of 1" to a ball of 2" and so on. This will show how the ball increases by size by adding 1" each time.