Hi! I was absent today and did not understand this lesson please I will be really grateful if you help me ! I appreciate it this is classwork assignment does not count as a test and the first one was wrong I tried but it was wrong

Answer:

"$ 2,880" is the right answer.

Step-by-step explanation:

The given values are:

Annual deposit,

PV = $1,800

Interest rate,

r = 2%

or,

  = 0.02

As we know,

⇒  \(FV=PV\times (1+r)n\)

On substituting the values, we get

⇒         \(=1,800\times (1 + 0.02) 4 + 7 + 13\)

⇒         \(=1,800\times (1.02)24\)

⇒         \(=1,800\times 1.6\)

⇒         \(= 2,880\) ($)

Answer:

x = number of nickels = 127

y = number of dimes = 156

z = number of quarters = 78

Step-by-step explanation:

Let

x = number of nickels

y = number of dimes

z = number of quarters

Total worth of the coins = $41.45

Total number of coins = 361

x + y + z = 361 (1)

dime = $0.1,

nickel = $0.05

quarter = $0.25

0.05x + 0.1y + 0.25z = 41.45 (2)

twice as many dimes as quarters.

y = 2z

Substitute y = 2z into (1) and (2)

x + 2z + z = 361

0.05x + 0.1(2z) + 0.25z = 41.45

x + 3z = 361

0.05x + 0.2z + 0.25z = 41.45

x + 3z = 361 (3)

0.05x + 0.45z = 41.45 (4)

Multiply (4) by 20

x + 3z = 361 (3)

x + 9z = 829 (5)

Subtract (3) from (5)

9z - 3z = 829 - 361

6z = 468

Divide both sides by 6

z = 468 / 6

= 78

z= 78

Recall,

y = 2z

= 2(78)

= 156

y = 156

Substitute the value of y and z into

x + y + z = 361

x + 156 + 78 = 361

x + 234 = 361

x = 361 - 234

= 127

x= 127

x = number of nickels = 127

y = number of dimes = 156

z = number of quarters = 78

the question is that a team of 8 people will take 6 days to paint a 4,800 square feet home.

We can use the formula T = k * A / N, where T is the time taken to paint the home, A is the area of the home, N is the number of people hired, and k is the constant of proportionality. We can find k by using the given information that a team of 6 painters do up a 2,400 square feet home in 8 days.

k = T * N / A = 8 * 6 / 2400 = 0.02

Now, we can use the formula to find the time taken by a team of 8 people to paint a 4,800 square feet home.

T = k * A / N = 0.02 * 4800 / 8 = 12 days

Therefore, the answer is that a team of 8 people will take 6 days to paint a 4,800 square feet home.

The time taken to paint a home varies directly with the area of the home and inversely with the number of people hired for the job. By using the formula T = k * A / N, we can find the time taken by a team of painters for different scenarios.

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The volume V of solid S is e - 1 cubic unit.

What is Volume?

Volume refers to the measure of three-dimensional space occupied by an object or a region. It quantifies the amount of space enclosed by the boundaries of an object or contained within a given region. In mathematical terms, volume is often calculated by integrating the cross-sectional areas of the object or region along a particular axis. Volume is typically expressed in cubic units, such as cubic meters (m^3) or cubic centimeters (cm^3). It is an essential concept in geometry, physics, engineering, and other scientific fields where the measurement of three-dimensional space is involved.

To find the volume of solid S, we need to integrate the areas of the cross sections perpendicular to the x-axis along the interval \([e, \infty).\)

The area of each square cross-section is equal to the square of the side length, which in this case is \(y = \sqrt{\ln(x)}.\)

Therefore, the volume V of solid S can be calculated as:

\(V = \int_{e}^{\infty} (\sqrt{\ln(x)})^2 dx\)

To evaluate this integral, we can simplify the expression:

\(V = \int_{e}^{\infty} \ln(x) dx\)

Using integration by parts, we let \(u = \ln(x)\)and dv = dx:

\(du = \frac{1}{x} dx\\v = x\)

Applying the integration by parts formula:

\(V = [uv] - \int v du= [x \ln(x)] - \int x \left(\frac{1}{x}\right) dx= x \ln(x) - \int dx= x \ln(x) - x + C\)

Evaluating the definite integral:

\(V = [x \ln(x) - x]_{e}^{\infty}= (\infty \cdot \ln(\infty) - \infty) - (e \cdot \ln(e) - e)= \infty - 0 - (1 - e)= e - 1\)

Therefore, the volume V of solid S is e - 1 cubic unit.

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Answer:

the perimeter is 11cm and the area is 7cm^2

Step-by-step explanation:

NP =PS, meaning they have the same length. so the perimeter is 3.5 + 4 + another 3.5.

For the area imagine you cut the triangle in half. from P to the middle of NS. Put the 2 triangle halves together to form a rectangle. (PS is now touching NP). This would be a 2x 3.5 rectangle. 2x 3.5 is 7, meaning both this imagined rectangle and the triangle have an area of 7cm^2.

Answer:

Yes it is

Step-by-step explanation:

2/100 = 0.02

You have to move two spaces to the left of 2, as 100 contains two zeroes (u must start counting from 2 and put zeroes along, until u finish counting)

after u finish counting put a 0. in the left of of all the zeroes and the 2

To solve the equation [3 5; 6 2]X = [-2 6; 4 12], we can use the inverse matrix. The solution is X = [2 -6; -4 3].

To solve the equation [3 5; 6 2]X = [-2 6; 4 12], we first need to find the inverse of the matrix [3 5; 6 2]. The inverse of a 2x2 matrix [a b; c d] can be found using the formula:

1 / (ad - bc) * [d -b; -c a].

Applying the formula to the given matrix, we have:

1 / (32 - 56) * [2 -5; -6 3].

Evaluating the expression within the parentheses, we have:

1 / (-24) * [2 -5; -6 3].

Simplifying further, we get:

[2/(-24) -5/(-24); -6/(-24) 3/(-24)].

Simplifying the fractions, we have:

[-1/12 5/12; 1/4 -1/8].

This is the inverse matrix. To find the solution for X, we multiply the inverse matrix with the given matrix on the right-hand side:

[-1/12 5/12; 1/4 -1/8] * [-2 6; 4 12].

Performing the matrix multiplication, we get:

[2 -6; -4 3].

Therefore, the solution to the equation [3 5; 6 2]X = [-2 6; 4 12] is X = [2 -6; -4 3].

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Answer:

25.6

Step-by-step explanation:

25.6 / 2 es igual a 12.8

The option b "The area under the curve is 1." and the option d "It is symmetrical" are true about the probability function for a t distribution.

When the sample size is small and the population standard deviation is unknown, the t-distribution is used in statistics.

Option b confirms that the total area under the t-distribution curve is 1, indicating that the sum of probabilities for all possible outcomes is also equal to 1.

Option d confirms the symmetry of the t-distribution, implying that the curve is balanced on both sides of the mean. The mean, median, and mode of a symmetrical distribution are all equal.

To summarize, the t-distribution is a useful tool in statistics when working with small sample sizes because it accounts for the uncertainty in the population standard deviation.

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Answer:

385.16%  to the nearest hundredth.

Step-by-step explanation:

109 / 28.3 = 3.8516

To get the percentage we multiply by 100:

= 385.16%

Answer:

26.3 feet

Step-by-step explanation:

We have to first find the length of the side of each tile.

The area of each tile is 19.2 \(ft^2\).

The area of a square is:

A = \(L^2\)

where L = length of side

Therefore:

\(19.2 = L^2\\\\L = \sqrt{19.2} = 4.38 feet\)

6 tiles will be lined end to end to construct the walkway, hence, the length of the walkway is:

6 * 4.38 ≅ 26.3 feet

Answer: Approximately 42 times

Step-by-step explanation:

Equal sides: red, yellow, and purple

Hence, a 1/3 chance it lands on yellow

125*1/3=41.6666666666666666667

Answer:

Date                  Account Title                                              Debit             Credit

XX-XX-XXX      Sales returns and Allowances              Rs. 5,000

                        Accounts receivable - M Center                                   Rs. 5,000  

                         Inventory                                                Rs. 5,000

                         Cost of Goods sold                                                        Rs. 5,000

Answer:

B.

Step-by-step explanation:

12/52=6/26=3/13

Answer:

\(n = 5\)

Step-by-step explanation:

Given

\(2(n+1)! + 6n! = 3(n+1)!\)

Required

Find n

Simplify (n + 1)!

\(2(n+1)*n! + 6n! = 3(n+1)*n!\)

Factorize

\(n![2(n+1) + 6] = 3(n+1)*n!\)

Divide both sides by n!

\(2(n+1) + 6 = 3(n+1)\)

Open brackets

\(2n + 2 + 6 = 3n + 3\)

\(2n + 8 = 3n + 3\)

Collect like terms

\(2n - 3n = 3 -8\)

\(-n =-5\)

Multiply both sides by -1

\(n = 5\)

Answer:

B. x ≤ 2.5

Step-by-step explanation:

a and d say 3 which is wrong

either b or c

the filled in dot at the line indicates this is inequality

so its b

Answer:

SAS, ASA, SSS, ASA, Yes

Step-by-step explanation:

Answer:

Slope = -2, both lines

Step-by-step explanation:

See attachment.

Answer:

landline

hshdjdh

dbbdhdhdh

bdbdhdhdhe

Answer:

Router

Step-by-step explanation:

Hope this helps

Answer:

\(\sf D) \quad s=8 \frac{1}{4}t\)

Step-by-step explanation:

Therefore, if the rate of cleaning is 8 1/4 square feet per hour, the relationship between s and t is:

\(\sf s=8 \frac{1}{4}t\)

Answer:

(-3,8)

Step-by-step explanation:

7x+5y=19

y=8

Because we know y=8 we cane use 8 instead of y in the first equation.

   1) 7x+5(8)=19

   2) 7x+40=19

   3) 7x=-21

   4) x=-3

Checking the work)

   1) 7(-3)+5(8)=19

   2) -21+40=19

   3) 19=19

The value of the union of sets A and B is, P(A ∪ B) is 0.64.

The union of two sets means the total elements in both the sets combined.

Given: sets P(A) = 0.38, P(B) = 0.83, and  intersection P(A ∩ B) = 0.57

We need to find the union of P(A ∪ B).

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Let us substitute the given values in the formula.

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

=0.38+0.83-0.57

=1.21-0.57

=0.64

Therefore, the value of union of sets P(A ∪ B) is 0.64.

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Answer:

my answer is A

Step-by-step explanation:

if you work out the equation where you know that at the x intercept y=0 you will find A to be true

The probability of getting:

a) 2 apples is 5/33

b) 1 apple and 1 orange 35/132 .

Here, we have,

given that,

A fruit basket contains 5 apples and 7 oranges.

Paul picks a fruit at random from the basket and eats it.

He then picks another fruit at random to eat.

so, we get,

total number of fruits = 12

now, we have,

a) P( pick 1 apple) = 5/12

then, P( pick another 1 apple) = 4/11

so, we get,

P( picking 2 apples) = 5/12 * 4/11 = 20/132 = 5/33

b) P( pick 1 apple) = 5/12

then, P( pick 1 orange) = 7/11

so, we get,

P( picking 1 apple and 1 orange) = 5/12 *  7/11 = 35/132

Hence, The probability of getting:

a) 2 apples is 5/33

b) 1 apple and 1 orange 35/132 .

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Answer:

\(\frac{(2x^{2} + y^{2}) (5x^{2} - 3^{2} }{x^{2} y^{2} }\)

Step-by-step explanation:

Find the solution below.

Answer:    (5x2 + 3y2) • (2x2 + y2) ————————————————————————           x2y2

Step-by-step explanation:

    STEP 1:  y2

Simplify   ——

                  x2

Equation at the end of step 1:       (x2)        y2

 ((10•————)-1)-(3•——)

      (y2)        x2

STEP 2 :            x2

Simplify   ——

           y2

Equation at the end of step 2:         x2           3y2

 ((10 • ——) -  1) -  ———

        y2           x2

STEP 3:Rewriting the whole as an Equivalent Fraction  3.1   Subtracting a whole from a fraction Rewrite the whole as a fraction using  y2  as the denominator :         1     1 • y2

   1 =  —  =  ——————

        1       y2  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominatorAdding fractions that have a common denominator : 3.2       Adding up the two equivalent fractions Add the two equivalent fractions which now have a common denominatorCombine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible: 10x2 - (y2)     10x2 - y2

———————————  =  —————————

    y2             y2    

Equation at the end of step 3:  (10x2 - y2)    3y2

 ——————————— -  ———

     y2         x2

STEP 4:Trying to factor as a Difference of Squares: 4.1      Factoring:  10x2-y2 Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)Proof :  (A+B) • (A-B) =         A2 - AB + BA - B2 =         A2 - AB + AB - B2 =          A2 - B2Note :  AB = BA is the commutative property of multiplication. Note :  - AB + AB equals zero and is therefore eliminated from the expression.Check :  10  is not a square !! Ruling : Binomial can not be factored as thedifference of two perfect squaresCalculating the Least Common Multiple : 4.2    Find the Least Common Multiple       The left denominator is :       y2       The right denominator is :       x2                   Number of times each Algebraic Factor            appears in the factorization of:    Algebraic        Factor     Left  Denominator  Right  Denominator  L.C.M = Max  {Left,Right}  x 022 y 202      Least Common Multiple:       x2y2 Calculating Multipliers : 4.3    Calculate multipliers for the two fractions     Denote the Least Common Multiple by  L.C.M     Denote the Left Multiplier by  Left_M     Denote the Right Multiplier by  Right_M     Denote the Left Deniminator by  L_Deno     Denote the Right Multiplier by  R_Deno    Left_M = L.C.M / L_Deno = x2   Right_M = L.C.M / R_Deno = y2Making Equivalent Fractions : 4.4      Rewrite the two fractions into equivalent fractionsTwo fractions are called equivalent if they have the same numeric value.

The curl of the vector field f is (-x + 1, x - y, y – z) and the divergence of f is y + z + x – 1.

The curl and divergence are two important operations used to study vector fields. In this problem, we need to find the curl and divergence of the given vector field f(x,y,z) = (yz, xz + y, xy – x).

The curl of a vector field is a measure of its rotation, while the divergence is a measure of its "source" or "sink". To find the curl of f, we need to compute the cross-product of the gradient of each component of f. So, let's start by finding the gradient of each component:

grad(yz) = (0, z, y)
grad(xz + y) = (z, 1, x)
grad(xy – x) = (y, x – 1, 0)

Taking the curl of f, we get:

curl(f) = (0 - (x – 1), x - y, y – z) = (-x + 1, x - y, y – z)

To find the divergence of f, we need to take the dot product of the gradient of each component with the vector field f. So, we have:

div(f) = ∇ · f = (∂/∂x, ∂/∂y, ∂/∂z) · (yz, xz + y, xy – x)
= y + z + x – 1

Therefore, the curl of the vector field f is (-x + 1, x - y, y – z) and the divergence of f is y + z + x – 1.

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Answer:

Yes

Step-by-step explanation:

y = 110 + 32x

Let x = each value in the table and calculate the corresponding value of y.

You get the following.

x = 0; y = 110

x = 2; y = 174

x = 4; y = 238

x = 6; y = 302

x = 8l y = 366

Since every value from evaluating the function gives the same value as the table, then the answer is yes, the table and the equation represent the same function.