What is the surface area of the rectangular prism below?

Answer:

sin -1/2   cos sqrt3/2

Step-by-step explanation:

UNIT CIRCLE

Answer: 9x * 1024x or

9126x if you need it that way

Step-by-step explanation: 3x to the power of 2 is 3x3 which is 9

4x to the power of 5 is 4x4x4x4 which is a bit harder but the answer comes out to 1024

4x4 = 16

16x4 = 64

64x4 = 256

256x4 = 1024

Answer: $289.52

Step-by-step explanation: We will solve the problem by first finding the number of cubic centimeters in the bar, then finding the number of grams, then converting that number of grams to a price.

We are given the dimensions of the silver bar. With this, we can find how many cubic centimeters are in the bar. Cubic centimeter is a three-dimensional unit and we are given the three dimensions. We simply multiply the dimensions by each other to find the # of cubic centimeters since this would be the same as (cm^1)^3. This gives a unit in cm^3. 4*10*1 is  40 or 40 cm^3.

We are also given that there are 10.49 g/cm^3 meaning in each cm^3 of silver, there are 10.49 grams. We can multiply the # of cm^3 by 10.49 to find the #of grams. 10.49*40 is 419.6 or 419.6 grams.

Finally, we are given that each gram is worth 69 cents or $.69. We simply multiply the # of grams by this value to find the total price. .69*419.6 is 289.52. This is the answer in dollars.

Hope this helps! These types of problems all just come down to unit conversion so focus on what units are being used.

Answer:

80

Step-by-step explanation:

To do this very simply, you need to input every value of k into the equation that the sigma notation asks of you and then sum them all together. You can do this question simply by inputting k = 1,2,3,4 into the equation and adding all the values together. (the bottom sigma value k=1 is the initial value of what you start with and the final value at the top is the value you need to get to by adding 1 to k each time and putting it in the equation every time i.e. think of it as 1 through 4 values you need to input into the equation and add together)

2(3^1-1) = 2

2(3^2-1) = 6

2(3^3-1) = 18

2(3^4-1) = 54

After adding them, you get 80.

Answer:

s₄ = 80

Step-by-step explanation:

[tex]\displaystyle s_4=\sum^4_{k=1}2\left(3^{n-1}\right)[/tex]

The given sigma notation means the sum of the series with nth term 2(3ⁿ⁻¹), starting with n = 1 and ending with n = 4.

As 2(3ⁿ⁻¹) is exponential, the series is geometric.

[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}[/tex]

Comparing 2(3ⁿ⁻¹) with the general form of a geometric sequence:

The formula for the sum of the first n terms of a geometric series is:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Therefore, substitute a = 2, r = 3 and n = 4 into the sum formula to find the sum of the first 4 terms of the geometric series:

[tex]\implies S_4=\dfrac{2(1-3^4)}{1-3}[/tex]

[tex]\implies S_4=\dfrac{2(1-81)}{-2}[/tex]

[tex]\implies S_4=\dfrac{2(-80)}{-2}[/tex]

[tex]\implies S_4=\dfrac{-160}{-2}[/tex]

[tex]\implies S_4=80[/tex]

Therefore, the sum of the first 4 terms of the geometric series is 80.

The Expression came in two parts, we started by solving the first part and getting a whole number and the second part was used to divide the first part.

The answer is 12005

Given Data

we have the expression

7^6+7^5−7^4 by 11

The dividend = 7^6+7^5−7^4

The divisor = 11

Let us express the dividend as a whole number

7^6+7^5−7^4 = 117649 + 16807 - 2401

7^6+7^5−7^4 = 132055

Hence the expression 7^6+7^5−7^4 by 11

= 132055/11

= 12005 ans

Therefore , the solution of the given problem of function comes out to be the interval's edges, rounded to four decimals, are -1.3233 and 0.7838.

The math lesson includes a variety of subjects, such as math, integers, but one's subdivisions, as well as architecture, construction, and that both real but rather fictitious geographic locations. A work covers the connections between different variables that all work together to produce the same result. A utility is made up of a variety of distinctive components that cooperate to create distinctive results for each input.

Here,

First, we assess f(x) at the interval's endpoints:

=> f(-3) = 2(-3)^3 - 7(-3) + 4 = -43

=> f(3) = 2(3)^3 - 7(3) + 4 = 44

There must be at least one root in each of the gaps between (-3, r) and (r, 3), where r is the function's root, because the function changes sign at x = -3 and x = 3. To find the function's roots numerically,

we can use the bisection technique or Newton's method.

We can plot the function using a graphing calculator or computer software and see that there is one root in the range (-3, -2), one root in the range (-2, 0), and one root in the range (-3, -2). (0, 3).

Consequently, the periods where the function is positive on the range (-3, 3) are as follows:

=> (-3, -1.3233) and (0.7838, 3) (0.7838, 3)

The interval's edges, rounded to four decimals, are -1.3233 and 0.7838.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

The 90% of the standard normal distribution has z-scores between -1.645 and 1.645, the lowest 5% has z-scores between -1.645 and 1.645, and the middle 50% of the standard normal distribution has z-scores between -0.6745 and 0.6745.

The probability density function f(x) for the continuous random variable X taken into account in the system defines the normal distribution. It is a function who's integral over a range (let's say, x to x + dx), when taking into account values between x and x + dx, yields the probability of the random variable X.

The mean and variance of a typical normal distribution are both 0. An alternative term for this is a z distribution.

Yes, the z-scores for the specified standard normal areas are shown here:

Middle 50%: The middle 50% of a standard normal distribution can be found between the 25th and 75th percentiles. We can determine the z-scores associated with those percentiles using Excel's NORM.S.INV () function as follows:

The z-score for the 25th percentile is -0.6745 (percentile).

The z-score for the 75th percentile is 0.6745.

The middle 50% of the ordinary normal distribution is thus represented by z-scores that vary from -0.6745 to 0.6745.

Minimum 5%: The lower 5% of the standard normal distribution are represented by the region to the left of the 5th percentile. We can determine the z-score associated with that percentile by using Excel's NORM.S.INV () function as follows:

-1.645 is the z-score assigned to the fifth percentile.

Hence, -1.645 is the z-score that represents the bottom 5% of the standard normal distribution.

Middle 90%: The middle 90% of the standard normal distribution is the region between the 5th and 95th percentiles. We can determine the z-scores associated with those percentiles using Excel's NORM.S.INV () function as follows:

-1.645 is the z-score assigned to the fifth percentile.

The 95th percentile's corresponding z-score is 1.645.

The middle 90% of the standard normal distribution is thus represented by z-scores that vary from -1.645 to 1.645.

To know more about standard normal distribution, visit:

https://brainly.com/question/29509087

#SPJ1

The translation transformation part of the rule that transforms circle A into circle B is; ((x + 2), (y + 3))

A translation transformation is a geometric transformation that involves moving an object in a straight line, without rotating or dilating the object.

The coordinates of the centers of the circle indicates the translation rule, used to transform the circles.

The coordinate of center of circle A is; (-1, -1)

The coordinates of the center of circle B is; (1, 2)

Therefore, we get;

The difference in the x and y values of the circles are;

Difference in the x-values = 1 - (-1) = 2

Difference in the y-values = 2 - (-1) = 3

The translation transformation part of the transformation that produces circle B from circle A is; ((x + 2), (y + 3))

Learn more on translation transformation here: https://brainly.com/question/11134096

#SPJ1

Therefore , the solution of the given problem of unitary method  comes out to be attempt to refrain from taking on needless debt, such as credit card debt.

By multiplying the data received using this type of variable nanosection throughout add to the output of the two individuals who applied the unilateral strategy, the task can be completed. Fundamentally, this implies that whenever an intended result expression occurs, either the stated entity is recognised or, in fact, the pigment of both large-scale productions is skipped. For forty pens, a variable charge of Inr ($1.01) may have been required.

Here,

There are four essential actions one can take to maintain control over their finances:

1) Make and stick to a budget: A budget is a plan for your financial spending over a specific time frame, typically a month. To make sure you are not overpaying, it is crucial to make a budget and adhere to it.

2) Keep track of your spending: By keeping tabs on your spending, you can spot potential areas of overspending and modify your budget as necessary.

3) Save money for emergencies: Having money set aside to cover unforeseen costs, such as vehicle repairs or medical bills, can prevent you from incurring debt.

4) Avoid taking on needless debt: Attempt to refrain from taking on needless debt, such as credit card debt.

To know more about unitary method visit:

https://brainly.com/question/28276953

#SPJ1

Answer:

d = 36

Step-by-step explanation:

9/6 = d/24

6d = (9)(24)

d = 216/6 = 36

Answer:

Step-by-step explanation:

Similar shapes have proportional sides.

Make a ratio and solve for d.

[tex]\frac{6}{9}[/tex] = [tex]\frac{24}{d}[/tex]

cross mulitply then divide

9 × 24 = 6d

216 = 6d

216/6 = 6d/6

36 = d

Scott Salman's net pay after subtracting all his deductions is $1,185.97.

How to calculate interest ?

To calculate Scott Salman's net pay after all deductions, we need to first determine his gross pay based on his variable commission.

Sales up to $20,000 will earn him a commission of 3%, which is $600. Sales between $20,000 and $30,000 will earn him a commission of 4%, which is $400. For sales over $30,000, he will receive a commission of 6%. In this case, the sales over $30,000 are $45,550 - $30,000 = $15,550, so his commission on this amount is $933.

Adding up all three commissions, Scott's gross pay is $1,933 ($600 + $400 + $933).

Next, we need to calculate his total deductions. FICA and Medicare deductions are based on a percentage of gross pay, which is 7.65%. For Scott, this comes out to be $147.70 ($1,933 x 7.65%).

Federal and state withholdings are calculated based on his tax bracket and filing status. Assuming he is filing jointly with his spouse, we can estimate his federal withholding to be $345 and state withholding to be $120.

State disability insurance varies by state and cannot be estimated without knowing where Scott lives. Assuming a standard rate of 1%, this comes out to be $19.33 ($1,933 x 1%).

Adding up all these deductions, we get a total of $632.03 ($147.70 + $345 + $120 + $19.33).

In addition, Scott has also made contributions towards his retirement plan, savings bond, and charitable donations. His retirement contribution is $45, his savings bond is $50, and his charitable contributions are $20. Adding these up, his total additional deductions come to $115.

Subtracting his total deductions from his gross pay, we get Scott's net pay:

$1,933 - $632.03 - $115 = $1,185.97.

Therefore, Scott Salman's net pay after subtracting all his deductions is $1,185.97.

To know more about interest visit :-

https://brainly.com/question/25793394

#SPJ1

Therefore , the solution of the given problem of unitary method comes out to be the additional choices are not exclusive to Inditex's value chain and are frequently used by other businesses in the sector.

By combining what was learned and implementing this variable technique, which also includes all supplemental information from two people who used a particular tactic, the task can be finished. In other words, if the desired result occurs, either the entity specified expression in the computation will be acknowledged, or both of the expression's crucial processes will actually skip the colour. A refundable fee of Rupees ($1.01) may be needed for forty pens.

Here,

The fact that goods are delivered straight to warehouses distinguishes Inditex SA's value chain from other companies.

As a result, lead periods are shortened and inventory costs are kept to a minimum during the quick and effective distribution of goods to retail stores. Fast fashion is this method, and it has been a major factor in Inditex's success in the fashion sector.

The additional choices are not exclusive to Inditex's value chain and are frequently used by other businesses in the sector.

To know more about unitary method  visit:

https://brainly.com/question/28276953

#SPJ1

the cοrrect expressiοns are, 1)Thirteen times a number squared - D)

2)A number times eleven plus thirty-three - A) 11n + 33

3) Twelve less than a number - C) y - 12

4)The quοtient οf a number and twenty - B) p ÷ 20

Mathematical expressiοns cοnsist οf at least twο numbers οr variables, at least οne arithmetic οperatiοn, and a statement. It's pοssible tο multiply, divide, add, οr subtract with this mathematical οperatiοn. Unknοwn variables, integers, and arithmetic οperatοrs are the cοmpοnents οf an algebraic expressiοn. There are nο symbοls fοr equality οr inequality in it.

Here we need to convert given statement into expression. Then,

1)thirteen times a number squared

=> 13[tex]\times b^2[/tex] = [tex]13b^2[/tex]

2) a number times eleven plus thirty-three

=> 11 times of number+ 33

=> 11*n+33

=> 11n+33

3) twelve less than a number

=> number -12

=> y-12

4)The quotient of a number and twenty

=> p/20

=> p ÷ 20

Hence the correct expressions are,

1)Thirteen times a number squared - D) [tex]13b^2[/tex]

2)A number times eleven plus thirty-three - A) 11n + 33

3) Twelve less than a number - C) y - 12

4)The quotient of a number and twenty - B) p ÷ 20

To learn more about expression refer the below link

https://brainly.com/question/112703

#SPJ1

Answer:

The probability of selecting a blue or green ball on the first draw is 2/3 or approximately 0.67.

Step-by-step explanation:

The probability of selecting a blue or green ball on the first draw can be calculated by adding the probability of selecting a blue ball to the probability of selecting a green ball.

The probability of selecting a blue ball on the first draw is the number of blue balls divided by the total number of balls in the bag:

P(blue ball) = 6/(6+5+4) = 6/15 = 2/5

Similarly, the probability of selecting a green ball on the first draw is:

P(green ball) = 4/(6+5+4) = 4/15

Therefore, the probability of selecting a blue or a green ball on the first draw is:

P(blue or green ball) = P(blue ball) + P(green ball)

                                    = 2/5 + 4/15

                                    = 2/3 = 0.67

So, the probability of selecting a blue or green ball on the first draw is 2/3 or 0.67

Read more about Probability:

https://brainly.com/question/25870256

you can use an equation (such as x = scale factor * length of corresponding side on larger rectangle) to find the length of the corresponding side on the larger rectangle.

Sure! The scale factor refers to the ratio between the measurements of two similar figures. For example, if you have two triangles that are similar, you can find the scale factor by dividing the length of one corresponding side of the larger triangle by the length of the corresponding side on the smaller triangle.

Equations can be used to find missing measurements in similar figures using the scale factor. For example, if you know the scale factor between two similar rectangles and the length of one side on the smaller rectangle,  

Hope that helps! Let me know if you have any other questions.

To learn more about : length

https://brainly.com/question/28108430

#SPJ11

Answer:

A. 16 B. 14. C. 32 D. 27

Step-by-step explanation:

A. 1/2 × 32 = 16. 1/4 ×32 = 8

B. 1/2 × 28 = 14. 1/4 ×28 = 7

C. 1/2 × 64 = 32. 1/4 × 64 = 16

D. 1/2 × 54 = 27. 1/4 × 54 = 13.5

Answer: $1.03

Step-by-step explanation:

4.10 x 1/4 = 1.025

Part A: 10% APR compounded monthly: EAR = 10.47%.

Part b: 10% APR compounded annually: EAR = 10%.

Part c: 9% APR compounded daily: EAR = 9.42%

Part A: 10% APR compounded monthly,

Effective annual interest rate (EAR):

EAR = [tex](1 + \frac{I}{n} )^{n }[/tex] - 1

I is the annual percentage rate/nominal interest rate

n is the number of compounding periods (in a year)

For monthly compounding.

EAR = [tex](1 + \frac{0.10}{12} )^{12}[/tex] - 1

EAR = 10.47%

Part b: 10% APR compounded annually,

For annual compounding.

The effective yearly interest rate will be the same as the nominal interest rate if the interest rate gets compounded annually.

EAR = Nominal interest rate

EAR = 10%

Part c: 9% APR compounded daily.

EAR = [tex](1 + \frac{0.09}{365} )^{365}[/tex] - 1

EAR = 9.42%

know more about Effective Annual Interest Rate

https://brainly.com/question/18234486

#SPJ9

..........................................................................................................

Answer:In an arithmetic sequence, the difference between consecutive terms is constant. Let us denote the common difference by d.

We know that a2 = -5, which means that the second term of the sequence is -5. Using the formula for the nth term of an arithmetic sequence, we can write:

a2 = a1 + d

-5 = a1 + d

We also know that a6 = 7, which means that the sixth term of the sequence is 7:

a6 = a1 + 5d

7 = a1 + 5d

We now have two equations with two unknowns (a1 and d), which we can solve for using substitution or elimination.

Substituting -5 = a1 + d into 7 = a1 + 5d, we get:

7 = -5 + 6d

12 = 6d

d = 2

Substituting d = 2 into -5 = a1 + d, we get:

a1 = -7

So the arithmetic sequence is: -7, -5, -3, -1, 1, 3, ...

The 5th term of this sequence is -1

Step-by-step explanation:

The range of the function for the given domain is {-12, 0, 3}.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.

If the domain of f(x) is {-2,0,1}, we can evaluate the function for each value in the domain:

When x = -2:

f(-2) = -(-2)² + 4(-2) = -4 - 8 = -12

When x = 0:

f(0) = -(0)² + 4(0) = 0

When x = 1:

f(1) = -(1)² + 4(1) = 3

Therefore, the range of the function for the given domain is {-12, 0, 3}.

To learn more about functions from the given link:

https://brainly.com/question/12431044

#SPJ1

Answer:

2500 ml

Step-by-step explanation:

In order to convert liters to ml,  we need to multiply the volume value by 1000.

[tex]2.5\times 1000=2500[/tex]

We can suggest the following three themes for a math and science week, combining the two fields and exploring current events and issues:

Here are a few steps you can follow to find a theme:

By following the steps above, you can figure out a theme for yourself. If you wish, use one of the themes already suggested above.

Learn more about brainstorming here:

https://brainly.com/question/1606124

#SPJ1

Answer:

Step-by-step explanation:

Hope this helps

Answer:

y=-10x+6

Step-by-step explanation:

4 is the y interecept which lets you know if it goes left or right and by how much. Therefore you add 2 + 4.

Answer:

∠1 = 128°

∠2 = 52°

∠3 = 128°

Step-by-step explanation:

∠1 and ∠3 are supplementary angles of x. Therefore, the sum of either with x is 180°. 180° - 52° = 128°. So ∠1 and ∠3 = 128°. ∠2 is opposite x, meaning they are vertical angles. Vertical anges have the same measurements so x = ∠2 = 52°.

In linear equation, 4.125 feet tall is tibors sisters.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

If the ratio of the student to their shadow and flagpole to its shadow are equal, then you can use the proportion

5.5/7 = x/5.25 and cross multiply to find x.

5.5 × 5.25 = 7 * x

28.875 = 7x

   x = 28.875/7

   x =  4.125

Learn more about linear equation

brainly.com/question/11897796

#SPJ1

The value of x is equal to 35° and the measure of the angle between points AY, m∠AND is equal to 80°.

From the question, we observe that the larger angle between m∠ANY consists of the two angles between m∠AND and m∠YND, so we shall sum the two small angles and equate the result to the larger angle to solve for the value of x as follows:

2x + 10 + 30 = 110°

2x + 40 = 110

2x = 110 - 40 {subtract 40 from both sides}

2x = 70

x = 70/2 {divide through by 2}

x = 35°

so we can evaluate for the angle between m∠AND as follows:

m∠AND = 2(35) + 10

m∠AND = 70 + 10

m∠AND = 80°

In conclusion, the value of x is equal to 35° and the measure of the angle between points AY, m∠AND is equal to 80°.

Know more about angles here:https://brainly.com/question/25770607

#SPJ1