Identify the terms, coefficients, and the constants in the expression. 11q + 2

Answer:

$48.98

Step-by-step explanation:

first move the decimal of your percent 2 places

8.6% = .086

then multiply by 53.58

.086 × 53 58= 4.60

subtract 4.60 from 53.58

53.58 - 4.60= 48.98

Answer: 55$

Step-by-step explanation:

Answer: Hi! Read the explanation below:

Brainliest? ANS: 8

Step-by-step explanation:

To find the number of unit cubes in a rectangular prism, you can use the number of 1/2 inch cubes by multiplying it by 8. This is because there are 8 unit cubes in a single 1/2 inch cube.

For example, if a rectangular prism has dimensions of 4 x 2 x 3, and each edge is made up of 2 half-inch cubes, then the total number of 1/2 inch cubes in the rectangular prism would be 4 x 2 + 4 x 2 + 2 x 2 + 2 x 2 + 3 x 2 + 3 x 2 = 32. To find the total number of unit cubes, we can simply multiply the number of 1/2 inch cubes by 8, which gives us a total of 256 unit cubes (32 x 8 = 256).

Therefore, by multiplying the number of 1/2 inch cubes by 8, we can find the total number of unit cubes in a rectangular prism.

The value of the angles are::

67.4°, C = 53.6°, c = 12.2; B = 112.6°, C = 8.4°, c = 2.2

Here, we have,

angle A = 59° and sides a = 13, b = 14.

Lets find remaining angles are B and C and the remaining side c.

Law of sines : a/sinA = b/sinB ⇒ sinB = (b*sinA)/a

sinB = (14*sin59o)/13 = (14*0.857167)/13 ≅ 0.923

B ≅ sin-1(0.923) ≅ 67.384.

There are two triangles, B₁ = 67.4 and B₂ = 180 - 67.4 = 112.6

find the angle c for B₁ = 67.4

A+ B +C = 180.

Angle C = 180 - (59 + 67.4) = 53.6.

Law of sines : b/sinB = c/sinC ⇒ c = b*sinC/sinB

c = (14)*sin(53.6)/sin(67.4) = (14)*(0.805)/(0.923) = 12.21.

now, we have,

find the angle c for B₂ = 112.6

A+ B +C = 180.

Angle C = 180 - (59 + 112.6) = 8.4.

Law of sines : b/sinB = c/sinC ⇒ c = b*sinC/sinB

c = (14)*sin(8.4)/sin(112.6) = (14)*(0.146)/(0.9232) = 2.27.

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The growth rate function indicates that the number of years The Iron Man's net worth will reach the net worth of T'Challa is about 87 years

The growth rate is the rate of growth of a function with regards to the input variable.

T'Challa's net worth in the Marvel comics = 80 trillion (8 × 10¹³) Dollars

The Iron Man's net worth = 20 billion (2 × 10¹⁰) Dollars

The growth rate per annum of The Iron Man's net worth = 10% per annum

The number of years it will take to reach T'Challa can therefore, be found as follows;;

(2 × 10¹⁰) × (1 + 0.1)ˣ = (8 × 10¹³)

(1 + 0.1)ˣ = (8 × 10¹³)/(2 × 10¹⁰)

x·ln(1 + 0.1) = ln((8 × 10¹³)/(2 × 10¹⁰))

x = (ln((8 × 10¹³)/(2 × 10¹⁰)))/(ln(1 + 0.1)) ≈ 87 years

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Answer:

2

Step-by-step explanation:

I just did this like a few days ago

Step-by-step explanation:

....djdjbeoehehoeebdnskeje

The given situation represents a random sample because, in statistics, a simple random sampling refers to the subset of individuals chosen from a larger set called population, where the sample is chosen randomly.

In this case, the dialed number are a random event, so it can be called a simple random sample.

Answer:

Right Isosceles triangle

Step-by-step explanation:

The Square on the triangle represents a right angle

An Isosceles triangle is a triangle that has 2 sides equal and 1 a different length

The volume of air inside the cube is 1887.4 cubic inches. Then the correct option is C.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A ball inside of a cube has a volume of 113 cubic inches. If each side of the cube measures 12.6 inches.

Then the volume of air inside the cube will be given as the difference between the volume of the cube and the sphere.

Air volume = Volume of the cube - Volume of the sphere

Air volume = 12.6³ - 113

Air volume = 2000.376 - 113

Air volume = 1887.376

Air volume ≅ 1,887.4

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Answer:

1887.4 cubic inches

Step-by-step explanation:

Answer:

y = 4

Step-by-step explanation:

3^3 + 14y - (25y - 13) = y + 7y - 9y

Exponents first.

27 + 14y - (25y - 13) = y + 7y - 9y

Distribute the negative sign from the parenthesis.

27 + 14y - 25y + 13 = y + 7y - 9y

Common terms.

27 + 13 = 40

14y - 25y = -11y

y + 7y - 9y = -y

40 - 11y = -y

Add 11 to both sides.

40 = 10y

Divide both sides by 10.

4 = y

Rearrange.

y = 4.

Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.

I prefer Wills method because it is easier and less complicated.

Wills method:

(5x + 6x) - (2x - 1)

Subtract both 2x and -1

5x + 6x - 2x - - 1

5x + 4x + 1

In conclusion, Wills method is preferred when both methods are compared.

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False, In the exponential decay function ƒ(x) = a • bx, the b is between 0 and 1.

What is exponential decay function?

In mathematics, the term "exponential decay" refers to the process of a constant percentage rate decline in a value over time.

                     It can be written as y=a(1-b)x, where y represents the final amount, a represents the initial amount, b represents the decay factor, and x is the amount of time that has passed.

How do you calculate an exponential function?

The equation f(x) = ax, in which the input variable x appears as an exponent, describes an exponential function. Both the exponential function and the value of x are dependent on the exponential curve.

                               The exponential function, which has the form, is a significant mathematical function. f(x) = ax.

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The number of days that this solution will probably last would be = 8 days.

To calculate the number of days the solution will last the following is taken into consideration.

The parameters given which are not in ml should be converted to ml as follows;

2 Oz of Lidocaine to ml = 2×29.6=59.2ml

½tsp of banana flavouring;

= 1/2×4.92

= 2.5ml

Therefore the total volume of the solution = 100+59.2+2.5 = 161.7ml

But 2×10 = 1 day

20ml = 1 day

161.7ml = X

Make X the subject of formula;

X = 161.7/20

= 8.1

= 8 days.

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Answer:

B

Step-by-step explanation:

We can either use sine or cosine, I choose cosine but sine works the same. cos(angle) = adj/hyp. adj = cos(angle) x hyp. adj = cos(30)8, cos(30) = √3/2. √3/2 x 8 = 4√3

The roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

Using the quadratic formula to solve the quadratic equation \(3x^2 - 14x - 5 = 0\),we have

\(x = (-(-14) ± sqrt((-14)^2 - 4(3)(-5))) / (2(3))\\x = (14 ± sqrt(14^2 + 4(3)(5))) / (2(3))\\x = (14 ± sqrt(196 + 60)) / 6\\x = (14 ± sqrt(256)) / 6\\x = (14 ± 16) / 6\\\)

Therefore, the two roots of the quadratic equation in exact square root form are:

\(x = (14 + 16) / 6 = 5\\x = (14 - 16) / 6 = -1/3\\\)

Thus, the roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

A quadratic equation is a second-degree polynomial equation in one variable of the form:

\(ax^2 + bx + c = 0\)

where x is the variable, and a, b, and c are constants. In this equation, the highest power of x is 2, and it is called the coefficient of x^2. The coefficient of x is b, and the constant term is c.

The quadratic equation is called "quadratic" because the highest power of x is a square (i.e., x^2), and the graph of the equation is a parabola.

The quadratic equation can have zero, one, or two real solutions, depending on the values of a, b, and c. The solutions can be found by using the quadratic formula:

\(x = (-b ± √(b^2 - 4ac)) / 2a\)

where the symbol ± means "plus or minus" and the square root is of the discriminant (b^2 - 4ac).

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The value of the n is 1

In a direct variation, the relationship between two variables is of the form y = kx, where k is a constant of proportionality.

To find the constant of proportionality k in this problem, we can use the fact that the given points satisfy the equation for direct variation.

(2,18) is one of the given points, so we can substitute these values into the equation y = kx and solve for k:

18 = k(2)

k = 18/2

k = 9

Now that we have found the value of k, we can use it to find n when y = 9:

9 = 9n

n = 1

Therefore, the value of n is 1.

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The equation of the line passing through the point (-4, 1), and having a slope of m = -3/2 is 2y = -3x - 10.

The slope of the line and a point on the line can be used to create the equation of a line. To better comprehend how the equation for a line is formed, let's learn more about the line's slope and the necessary point on the line. The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis. The coordinate system's point with the x coordinate and the y coordinate is referred to as the point.

The equation of the line passing through the points (x1, y1), with a slope of m is given by the formula:

(y - y1) = m (x - x1)

Given that the point is (-4, 1) and the slope, m = -3/2.

Substituting the values we have:

(y - y1) = m (x - x1)

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

2(y - 1) = -3(x+ 4)

2y - 2 = -3x - 12

2y = -3x - 10

Hence, the equation of the line passing through the point (-4, 1), and having a slope of m = -3/2 is 2y = -3x - 10.

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The required cost of 10.3 ounces of cheese is given as $4.326.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
8.5 ounces of cheese is $3.50.

Cost of 1 ounce of cheese = 3.50 / 8.5 = 0.42

Cost of 10.3 ounces of cheese = 0.42 × 10.3 = $4.326

Thus, the required cost of 10.3 ounces of cheese is given as $4.326.

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Answer:

The percentage  is  %z \(= 41.9\)%    

Step-by-step explanation:

From the question we are told that

     The mean is  \(\mu = 63.5 \ g\)

     The  standard deviation is  \(\sigma = 12.2 \ g\)

      The  random number is  x  = 66 g

Given the the population is normally distributed

   The  probability is mathematically represented as

        \(P(X > 66 ) = P(\frac{X - \mu }{\sigma} > \frac{x - \mu }{\sigma } )\)  

Generally the z-score for this population is mathematically represented as

         \(Z = \frac{ X - \mu}{ \sigma}\)

  So

      \(P(X > 66 ) = P(Z > \frac{66 - 63.5 }{12.2 } )\)  

      \(P(X > 66 ) = P(Z > 0.2049 )\)  

Now the z-value for 0.2049 from the standardized normal distribution table is  

     \(z = 0.41883\)

=>    \(P(X > 66 ) = 0.41883\)  

The  percentage  is

     % z     \(= 0.41883 * 100\)  

     %z   \(= 41.9\)%    

The solution to find the five number summary shown below.

When conducting descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful. The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values.

To find a five number summary we have follow:

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Answer:

10y^2-3xy+6x

Step-by-step explanation:

Answer:

9, 7

Step-by-step explanation:

Mode is the value or values in the data set that occur most frequently.

In this data set the numbers 9 and 7 show up the most often so they would be the mode.

: )

Answer:

If she plans to jog 4.25 miles each day then 4.25 * 7 would equal 29.75. This is the first answer.

In order to get the second answer, we need to subtract 30.5 (What she needs to jog) over 29.75 (how much she is planned to job over the next 7 days). So 30.5 - 29.75 = 0.75

Here is the math I did to get 0.75:

= 30.5 - 29.75

= 30.5 + -29.75

= 0.75 (Answer)

Hopefully this helped :D

Step-by-step explanation:

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

Step-by-step explanation:

Simplify parentheses : 0.5x+0.3=2.1x+9-5.5

Combine like terms : 0.5x+0.3=2.1x+3.5

Isolate the variable : -1.6x=3.2

Divide by -1.6 on both sides : x=-2

Answer:  the answer is in the picture

have a nice one

Step-by-step explanation:

Answer:

\(\displaystyle \int \sec\left(\frac{x}{2}\right)\tan^5\left(\frac{x}{2}\right)dx=\frac{2\sec^5\left(\dfrac{x}{2}\right)}{5}-\frac{4\sec^3\left(\dfrac{x}{2}\right)}{3}+2\sec\left(\frac{x}{2}\right)+C\)

Step-by-step explanation:

We want to find the integral:

\(\displaystyle \int \sec\left(\frac{x}{2}\right)\tan^5\left({\frac{x}{2}\right)dx\)

First, perform the substitution y = x / 2. This yields:

\(\displaystyle dy = \frac{1}{2} \, dx \Rightarrow dx = 2\, dy\)

Hence, the integral becomes;

\(\displaystyle =2\int \sec y\tan^5 y \, dy\)

Next, as you had done, let's expand the tangent term but to the fourth:

\(\displaystyle =2\int \sec y\tan^4 y\tan y\, dy\)

Recall that:

\(\tan^2(y)=\sec^2(y)-1\)

Hence:

\(\displaystyle =2\int \sec y(\sec^2 y-1)^2\tan y\, dy\)

We can use substitution once more. This time, let u = sec(y). Hence:

\(\displaystyle du = \sec y \tan y \, dy\)

Rewrite:

\(\displaystyle =2\int \left((\sec^2y-1)^2\right)\left(\sec y \tan y\right)dy\)

Therefore:

\(\displaystyle = 2\int (u^2 - 1)^2\, du\)

Expand:

\(\displaystyle =2\int u^4-2u^2+1\, du\)

Reverse Power Rule:

\(\displaystyle = 2\left(\frac{u^5}{5} - \frac{2u^3}{3} + u\right) + C\)

Simplify:

\(\displaystyle = \frac{2u^5}{5} - \frac{4u^3}{3} + 2u + C\)

Back-substitute:

\(\displaystyle = \frac{2\sec^5 y }{5}-\frac{4\sec^3 y}{3}+2\sec y+C\)

Back-substitute:

\(\displaystyle =\frac{2\sec^5\left(\dfrac{x}{2}\right)}{5}-\frac{4\sec^3\left(\dfrac{x}{2}\right)}{3}+2\sec \left(\frac{x}{2}\right)+C\)

Therefore:

\(\displaystyle \int \sec\left(\frac{x}{2}\right)\tan^5\left(\frac{x}{2}\right)dx=\frac{2\sec^5\left(\dfrac{x}{2}\right)}{5}-\frac{4\sec^3\left(\dfrac{x}{2}\right)}{3}+2\sec\left(\frac{x}{2}\right)+C\)

Answer:

= 2 (sec (x/2) - 2sec³(x/2) +  sec⁵(x/2) ) + C

                              3                     5

Step-by-step explanation:

∫sec(x/2) tan⁵(x/2) dx

apply u substitute u = x/2

= ∫sec(u) tan⁵(u) * 2du

= 2 *  ∫sec(u) tan⁴(u) tan(u) du

= 2 *  ∫sec(u) (tan²(u))² tan(u) du

= 2 *  ∫sec(u) (-1 + sec²(u))² tan(u) du

apply u substitute v = sec(u)

= 2 * ∫(-1 + v²)² dv

expand

= 2 * ∫1 - 2v² + v⁴ dv

sum

= 2 (v - 2v³ + v⁵ )

             3      5

substitute it back

= 2 (sec (x/2) - 2sec³(x/2) +  sec⁵(x/2) )

                              3                     5

add constant to the solution.

= 2 (sec (x/2) - 2sec³(x/2) +  sec⁵(x/2) ) + C

                              3                     5