Find the unlabeled side length. If necessary, round your answer to the nearesthundredth (two decimal places).2048Answer hneSUBMIT

Answer:

Step-by-step explanation:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; \frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] --- eq(1)\)

Lets look at the derivative part:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] \\\\= \frac{d}{dx}[cos(3x^2) \sqrt[3]{5x^3 -1} ] + \frac{d}{dx}[sin(4x^3)]\\\\=cos(3x^2) \frac{d}{dx}[ \sqrt[3]{5x^3 -1} ] + \sqrt[3]{5x^3 -1}\frac{d}{dx}[ cos(3x^2) ] + cos(4x^3) \frac{d}{dx}[4x^3]\\\\=cos(3x^2) \frac{1}{3} (5x^3 -1)^{\frac{1}{3} -1} \frac{d}{dx}[5x^3 -1] + \sqrt[3]{5x^3 -1} (-sin(3x^2))\frac{d}{dx}[ 3x^2] + cos(4x^3)[(4)(3)x^2]\)

\(=\frac{cos(3x^2) 5(3)x^2}{3(5x^3 - 1)^{\frac{2}{3} }} -\sqrt[3]{5x^3 -1}\; sin(3x^2) (3)(2)x + 12x^2 cos(4x^3)\\\\=\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)\)

Substituting in eq(1), we have:

\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; [\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)]\)

Answer:

Word problem 3        

Step-by-step explanation:

Word Problem one is a subtraction problem since Felicia is giving away two marbles to Lucas. Word Problem two is a division problem since Felicia is evenly dividing the number of marbles she has into two bags. Word Problem three is a multiplication problem because Ryan has two times as many marbles that Felicia does. Word Problem four is an addition problem because she found two more marbles while she already has eight marbles. Keywords for subtraction word problems are: fewer than, decrease, take away, less than, minus, difference, change, lost reduced, and subtract. Keywords for division word problems are: As much, cut up, groups, equally, sharing, half, how many in each, parts, per percent, quotient, ratio, and separated. Keywords for multiplication word problems are: double, every, factor, increased, multiplied product, times, and tripled.

Answer:

Let's say Jack's earning is x, Janet's earning is y and Cindy's earning is z

So x + y + z = 65,901 and x = 2y and z = y + 5000

<=> 2y + y + y + 5000 = 65,901

<=> 4y = 65,901 - 5000

<=> 4y = 60,901

<=> y = 60,901 / 4 = 15,225.25

So x = 2 * 15,225.25 = 30,450.5 and z = 15,225.25 + 5000 = 20,225.25

So Jack's earning is $30,450.5, Janet's earning is $15,225.25 and Cindy's earning is $20,225.25

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The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Trawler B should take a course that is 18 degrees east of north.

In order to intercept Trawler A, Trawler B must travel in a direction that will bring it closer to Trawler A. Since Trawler A is traveling due west, Trawler B must travel in a direction that is east of north. The angle that is 18 degrees east of north will bring Trawler B closest to Trawler A.

Here are the steps to find the course that Trawler B should take:

Draw a diagram of the situation.

Label the two trawlers A and B.

Draw a line representing the direction that Trawler A is traveling.

Draw a line representing the direction that Trawler B should travel.

Measure the angle between the two lines.

The angle between the two lines will be 18 degrees. Therefore, Trawler B should take a course that is 18 degrees east of north.

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4.61 gallons is the mean number of gallons of milk consumed last month​.

The most typical or average value among a group of numbers is called the mean. It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value."

The mean (also known as that of the arithmetic mean, which varies with respect to the geometric mean) of a data is calculated as the sum of all values divided by the total number of values. This indicator of the central tendency is usually referred to as the "average".

The total number of gallons of milk consumed is:

\((7 \times 3) + (9 \times 4) + (7 \times 7) \\= 21 + 36 + 49 = 106\)

The total number of families is \(7 + 9 + 7 = 23\)

Therefore, the mean number of gallons of milk consumed last month is:

\(106/23 = 4.61\) gallons

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Given that three factors are given and the surface area is required, this means that we are dealing with a three-dimensional shape. Where the above is a rectangular prism, the surface area = 118 In².

Surface area is the measure of the total area that the surface of a three-dimensional object occupies.

To calculate the surface area of an object, you need to add up the areas of all its faces. The formula for finding the surface area of a rectangular prism, which has three pairs of congruent rectangular faces, is:

Surface area = 2(lw + lh + wh)

where l, w, and h are the length, width, and height of the rectangular prism, respectively.

So, if we have a rectangular prism with the following dimensions:

Length (l) = 3.5 inches

Width (w) = 4 inches

Height (h) = 6 inches

The surface area can be calculated as follows:

Surface area = 2(lw + lh + wh)

= 2(3.5 x 4 + 3.5 x 6 + 4 x 6)

= 2(14 + 21 + 24)

= 2(59)

= 118In²

Therefore, the surface area of this rectangular prism is 118 In².

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Full Question:

Although part of your question is missing, you may be referring to this full question:

Given a rectangular prism with the following dimensions:
3.5 in.

4 in.

6 in.

What is surface area?

Answer:

16

Step-by-step explanation:

This is because the ratio of black to white can be set up as 1/4, for every one black bead there is 4 white so what is 1/4x that equals 4? simple, x=16 because 16/4 equals to 4 so it would be 4 black beads to 1 white bead.

Answer:

i believe it's 48

Step-by-step explanation:

7x^2 - 3x - 6

7(3)^2 - 3(3) - 6

63 - 9 - 6

54 - 6

48

The proportion of 1040r tax forms completed in less than 77 minutes = 0.06301

How to find the proportion of the tax forms?

The time required to complete a 1040r tax form = normally distributed

Mean = \(\mu\) = 100 minutes

Standard deviation  = \(\sigma\) = 15 minutes

The proportion of 1040r tax forms completed in less than 77 minutes is given by ,

P( X< 77 ) = P ( Z < \(\frac{77-100}{15}\)  )

                = P( Z < - 1.53 )

                =0.06301

Cumulative probability in the normal distribution =0.06301 or 6.301%

What is normal distribution?

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(11) Find the missing side,

Therefore, the value of x is 26.87

(13)

Therefore, the value of x is 24.43.

Answer: Let's start by representing the number of bicycles and scooters using variables.

Let the number of bicycles be 4x, and the number of scooters be 6x (since the ratio of bicycles to scooters is 4:6, which simplifies to 2:3, and we can assign a value of 2 to 4x, so that 6x is equal to 3 times that value, or 6x = 3(4x) = 12x).

The total number of bicycles and scooters is given as 140, so we have:

4x + 6x = 140

Simplifying, we get:

10x = 140

x = 14

So there are 4x = 56 bicycles and 6x = 84 scooters.

We know that 25% of the scooters use electricity, so the number of scooters that use electricity is:

25% of 84 = 0.25 * 84 = 21

We also know that 1/7 of the scooters use petrol. To find out how many scooters that is, we can divide the total number of scooters by 7, and then multiply by 1:

1/7 of 84 = (1/7) * 84 = 12

Therefore, the total number of scooters that use either electricity or petrol is 21 + 12 = 33.

Since there are 84 scooters in total, the remaining scooters must use LPG:

84 - 33 = 51

So, the number of scooters that use LPG is 51.

By determining the total number of scooters from the total given and the ratio, we can then calculate the proportion that use LPG by subtracting the proportion using other fuels from the total. This gives us 51 scooters using LPG out of 84 total scooters.

To find the number of scooters that use LPG, we first need to determine the total number of scooters from the given total and ratio. The ratio of bicycles to scooters is given as 4:6, this sums to 10 parts in total. Thus, each part represents 140 / 10 = 14 vehicles.

As the ratio for scooters is 6, we multiply this by the value of each part to find the total number of scooters, which yields 6 * 14 = 84 scooters.

We are told 25% or 1/4 of the scooters use electricity and 1/7 use petrol. Adding these fractions, 1/4 + 1/7 gives a fraction of 11/28 scooters using either electricity or petrol.

Subtracting this from 1 gives the fraction of scooters using LPG, which is 1 - 11/28 = 17/28.

Multiplying this fraction by the total number of scooters, 17/28 * 84, we find the number of scooters using LPG is 51.

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Answer:

70 decreases each stage

Step-by-step explanation:

350 / 5 = 70 decreases each stage

Since all decreases are equal and in 5 stages:

decreases * stages = total decreases

                     70 * 5 = 350

Answer:

If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.

Have a nice day and I hope this helps!

The translation of the sentence into an equation is:  3+ \(\frac{x}{8}\) = 5.

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=4x+5. Where:

m= the slope.

b= the constant term that represents the y-intercept.

For the given example: m=4 and b=5.

The question asks you to convert the given text into an equation. Then, you should follow the steps below.

Three more than the quotient of a number and 8 is 5.

From the previous information, you can write the equation:

3+ \(\frac{x}{8}\) = 5

Where:

y=5

m=1/8

b=3

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The coordinates of point E is (-37/7, 23/7)

The formula for calculating a coordinate points using the points (-1, -1) and point A is located at (-7, 5) in the ratio 2:5 is expressed as:

E (x, y) = {(ax₁+bx₂)/a+b, (ay₁+by₂)/a+b}

Substitute the coordinates and ratios to have;

E (x, y) = {(2(-1)+5(-7))/2+5, (2(-1)+5(5))/2+5}

E(x, y) = {-35-2/7, -2+25/7}

E(x, y) = (-37/7, 23/7)

Hence the coordinates of point E is (-37/7, 23/7)

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Answer:

5.2 is the answer because i know

Step-by-step explanation:

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Answer:

The rate is 5 dollars per student.

Step-by-step explanation:

The rate per student can be found with \(\frac{dollars}{student}\):

\(\frac{150dollars}{30student}=5\frac{dollars}{student}\\\\\frac{350dollars}{70student}=5\frac{dollars}{student}\)

The rate is 5 dollars per student.

The degree of f(x) is even and the leading coefficient is negative

There are 6 distinct real zeros and 3 relative extreme values.

The degree of the function

To do this, we take a count of the number of times the function crosses the x-axis

In  this case, the number of times is 6

So, the degree is an even number

The leading coefficient

In this case, the leading coefficient is negative

This is so because the function opens down

The distinct real zeros

To do this, we take a count of the number of times the function crosses the x-axis

In  this case, the number of times is 6

So, the distinct real zero is 6

The relative extreme values

This is the number of distinct real zeros where input values of the graph has minimum or maximum values.

In this case, there are four relative maxima and minima

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Answer:

You cannot graph this equation. So there is no solution.

The answer is no solution

Step-by-step explanation:

Answer:

9x + 3 = 7x + 19

Step-by-step explanation:

Given that,

Jeffrey set up chairs for a meeting.

He arranged the chairs in 9 equal  rows but had 3 chairs left over.

Let x be the number of chairs. So,

9x+3 .....(1)

Then he arranged the chairs in 7 equal rows  but had 19 chairs left over. So,

7x+19 ......(2)

From equation (1) and (2),

9x+3 = 7x+19

9x-7x = 19-3

2x = 16

x = 8

Hence, the correct option is (b).

Answer:

Oldest to newest:

10^-35, 10 ^-10, 0

Step-by-step explanation:

Scientific notation

To figure out the power of 10 think "how many places do I move the decimal point?"

When the number is 10 or greater the decimal point moves to the left, and the power of 10 is positive.

When the number is smaller than 1 the decimal point moves to the right, so the power of 10 is negative.

The mean and standard deviation of the standard normal distribution, also referred to as the z-distribution or standard normal distribution, are both equal to one.

A normally distributed random variable with a standard deviation of one and a mean of zero is referred to as a standard normal random variable. The letter Z will always be used to represent it.

With a mean of 0 and a standard deviation of 1, the standard normal distribution (also known as the z distribution) is a normal distribution. With the equation z = (x-mean) / standard deviation, any point (x) from a normal distribution can be transformed into the standard normal distribution (z).

The standard normal distribution, commonly known as the z-distribution, is a unique type of normal distribution in which the mean and standard deviation are both equal to 1. Any normal distribution's values can be transformed into z scores to normalize it. Z scores indicate the number of standard deviations away from the mean that each value represents.

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Answer:

-112

Step-by-step explanation:

-3*-4^2*y+4*-4

-3*16*2-16

-48*2-16

-96-16

-112

Applying the tangent ratio, the value of x in the image, rounded to the nearest thousandth is: 15.824.

The tangent ratio, commonly referred to as "tangent," is a trigonometric function that relates the ratio of the length of the side opposite an angle to the length of the side adjacent to that angle in a right triangle. It is expressed as:

tan (∅) = opposite/adjacent

We have the following:

Reference angle (∅) = 53 degrees

Length of opposite side = 21

Length of adjacent side = x

Plug in the values:

tan 53 = 21/x

x * tan 53 = 21

x = 21 / tan 53

x = 15.824

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The absolute extrema for the given function occurred at the critical points for Interval  [0, 2π] is 3.

The point wherein the minimum or maximum value of the function is reached is known as the absolute extremum (also global extremum) of the function in the given interval.

The absolute extremum, or point equivalent to the highest or least value in the entire function, is frequently the interval specified, which is the domain of the function.

The given function :

y = 3 cos x,

Differentiate the function with respect to 'x'.

y' = -3 sin x

Find the critical point , by y = 0

-3 sin x = 0  

x = sin ⁻¹ (0)

Interval  [0, 2π]

So, critical points are: x = 0,π, 2π

Now, evaluate function by putting the critical points;

y(0) = 3 cos 0 = 3

y(π) = 3 cos π = 0

y(2π) = 3 cos 2π = 3

Thus, absolute extrema for the given function occurred at the critical points 0 and 2π that is 3.

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Answer:

Step-by-step explanation:

Answer:

796

Step-by-step explanation:

First turn it into 3 Composite Shapes, Then add the sums up to get you answer. You would separate them using the given numbers. DO NOT USE THE LARGE NUMBER: 53 you have to put them into 3 tiny squares using the numbers it gives you. Look at the image, to look at how to separate them and then i will continue the math.

To Do This You Also Have To Follow PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)

I color coded it for you so that you could tell what block was what.

I also put color under the numbers that were also with the block that you needed to multiply.

For the first square/red square you need to do the math:

25x17=415

For the second square/blue square you need to do the math:

24x(25-12)=

24x13=312

For the third and final square/green square you need to do the math:

6x12=72

For the last step you have to add all the sums together to get the quotient/answer:

415+312+72=796