Diagram is shown below.
6
a. What the relationship between Z BEC and Z BAC?
b. What the measure of ZBEC ?
c. What the measure of BDC ?

Answer:

a*n = -8 + (n - 1)6

Step-by-step explanation:

Explicit formula:

a*n = a*1 + (n - 1)d

a*1 = first term

n = nth term or the place

d = difference

Set: -8, -2, 4, 10

-8 ---> -2 = 6 added

Fill it in.

a*1 = -8

n = n

d = 6

Solution:

a^n = -8 + (n -1)6

Answer:

the value of x is 20°

Step-by-step explanation:

angle B=20°

angle A=80°

therefore ,you will now formulate an equation .

2(3x+20)+x=180°

7x+40=180°

7x=140

x=20°

now substitute

x=20°=angle B

3x+20°=80°=angle a

The areas for this problem are given as follows:

3. 681.25 ft².

4. 193 m².

The area of a rectangle of length l and width w is given by the multiplication of these dimensions, as follows:

A = lw.

For this problem, a rectangular deck of dimensions l = 18.75 ft and w = 15 ft is added, hence the area of the deck is:

A = 18.75 x 15 = 281.25 ft².

This area is added to the previous area, hence the total area is of:

A = 400 ft² + 281.25 ft² = 681.25 ft².

The figure is composed by:

The area of the triangle is half the base times the height, while the area of the rectangle was presented in the previous item, hence the total area of the figure is:

A = 10 x 18 + 0.5 x 13 x 2 = 180 + 13 = 193 m².

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Step-by-step explanation:

so, we have

(343/1024×32)^(1/5) × 256^(1/2)

we know that we should process first brackets and their content, then exponents, and then multiplications and divisions.

we also know that an exponent has to be applied to all parts and all factors of its base term.

and we know that a fraction "m/n" in an exponent means "to the power of m" and pulling the nth root.

given the nature of this question (homework or test) it is likely that the planned result is a whole or at least a nice short number.

and so I think you made a typo, and the first number should be 243 (and not 343). am I right ?

because 243 = 3⁵, but 343 is "only" 7³ (but not a 5th power of a "nice" number).

so, for

(343/1024×32) we should pull the 5th root.

as mentioned,

343 is not the 5th power of any nice number. but 243 is : 3⁵

1024 = 4⁵

32 = 2⁵

so, the 5th root of this term is

343^(1/5) / 4 × 2 = 343^(1/5) / 2

and for 256 we should pull the square root (the second root).

256 = 2⁸ = 16²

so, the square root is 16.

and the total result is then

343^(1/5) / 2 × 16 = 343^(1/5) × 8 = 25.7127668...

now, if we assume that you actuality meant 243 as first number, we would then have the 5th root of 243 = 3 and get

3 × 8 = 24

as total result.

update : you mentioned that the expected result is 6.

then you made the mentioned typo AND left out some more brackets.

I assume the real expression is then

(243÷(1024×32))^(1/5) × 256^(1/2) =

= (3⁵ ÷ (4⁵ × 2⁵))^(1/5) × (16²)^(1/2) =

= (3 ÷ (4 × 2)) × 16 = 3 ÷ 8 × 16 = 3 × 2 = 6

if your teacher actually left out these brackets, then he/she made a mistake.

then my original solution above (24) is correct. because without the brackets I must not apply the multiplication by 32 as factor of 1024, but must apply it as factor of (243/1024).

The base and height of the triangle is 16 meters and 7 meters respectively.

Scalene triangles are triangles which has all three sides having different side lengths and the measure of all the three angles is different.

Given that,

Area of a scalene triangle = 56 square meter

Base of the triangle = 2x - 6 meters

Height of the triangle = x - 4 meters

The formula to find the area of a triangle is,

Area = \(\frac{1}{2}\) × base × height

Substituting,

\(\frac{1}{2}\) × (2x - 6) (x - 4) = 56

\(\frac{1}{2}\) (2x² - 6x - 8x + 24) = 56

\(\frac{1}{2}\) (2x² - 14x + 24) = 56

x² - 7x + 12 = 56

x² - 7x - 44 = 0

Factoring,

(x - 11) (x + 4) = 0

So, x = 11 or x = -4.

x = -4 is not possible, since the negative lengths are not possible.

So, x = 11

So base = 2x - 6 = 16 and height = x - 4 = 7

Hence the base and height are 16 and 7 respectively.

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The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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Therefore, B's share is Rs. 30,000 and C's share is Rs. 40,000.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.

Here,

Let the total sum of money be x.

Then, according to the given ratio, A's share is 2/9 of the total sum, so we have:

2/9 * x = 20000

Multiplying both sides by 9/2, we get:

x = 90000

Now, we can find the shares of B and C as follows:

B's share = 3/9 * 90000 = 30000

C's share = 4/9 * 90000 = 40000

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Answer:

the first one i did it yesterday

Answer:

a

Step-by-step explanation:

hope this helps

Answer:

could you put a picture of the work so i can anwser  this question

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

32 feet.

That is what I think

Answer:

A rule is a function if every number on the input side goes to exactly one number on the output side. A function is a rule where, if you know the input, you know what the output is going to be.

Step-by-step explanation:

i d k the answer so u sear che d it

but hope it helps

bye stay safe

god bless

and carry on learning

< TSU = 4y + 11 = 23 degrees

What does angle relationship mean?

We talk of angle relationships because we are comparing position, measurement, and congruence between two or more angles. For example, when two lines or line segments intersect, they form two pairs of vertical angles

we have to find m < TSU if SU bisects < TSV, m < TSU = 4y + 11, m < USV = 6y + 5

SU bisects < TSV

=>    < TSU = < USV

4y + 11 = 6y + 5

-2y = -6

y = 3

< TSU = 4y + 11 = 23 degrees   ( put the value of y=3)

∠USV = 6y + 5 = 23 degrees      ( put the value of y=3)

Hence ,< TSU = 4y + 11 = 23 degrees

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1. The preparation of the multiple-step income statement for Blue Spruce's Bakery  for the year ended November 30, 2021, is as follows:

Blue Spruce's Bakery  

For the year ended November 30, 2021

Sales                                                             $872,000

Sales discounts                                                 (8,300)

Sales returns and allowances                          (9,845)

Net sales revenue                                       $853,855

Cost of goods sold:

Merchandise inventory               $34,360

Purchases                                    627,700

Freight in                                           5,110

Purchase discounts                       (6,300)

Purchase returns & allowances    (13,315)

Cost of goods available (sale) $647,555

Merchandise inventory               (37,370)  $610,185

Gross profit                                                $243,670

Operating Expenses:

Property tax expense              $3,500

Depreciation expense             14,900

Salaries expense                    121,600

Freight out                                 8,200

Insurance expense                   9,000

Utilities expense                     20,700     $177,900

Operating Income                                     $65,770

Rent revenue                                                3,400

Income before interest                             $69,170

Interest expense                                         (5,700)

Net Income                                              $63,470

2. The preparation of a statement of owner's equity for Blue Spruce's Bakery for the year ended November 30, 2021, is as follows:

Blue Spruce's Bakery  

For the year ended November 30, 2021

B. Hachey, capital       $104,480

B. Hachey, drawings      (12,000)

Net income                     63,470

Ending balance          $155,950

3. The preparation of a classified balance sheet for Blue Spruce's Bakery as of November 30, 2021, is as follows:

Blue Spruce's Bakery  

As of November 30, 2021

Current Assets:

Cash                                                                           $20,700

Accounts receivable                                                    13,670

Merchandise inventory                                               37,370

Prepaid insurance                                                        4,500

Total current assets                                                 $76,240

Long-term Assets:

Building                             $175,000

Accumulated depreciation  61,200  $113,800

Equipment                           57,000

Accumulated depreciation 19,880      37,120

Land                                                     79,000    $229,920

Total assets                                                         $306,160

Current Liabilities:

Accounts payable                                                 $32,710

Salaries payable                                                      8,500

Unearned revenue                                                  3,000
Mortgage payable                                                   9,200

Total current liabilities                                         $53,410

Long-term Liabilities:

Mortgage payable                                                96,800

Total liabilities                                                    $150,210

Owner's Equity                                                 $155,950

Total liabilities and equity                               $306,160

4. The closing journal entries are as follows:

Debit Sales $872,000

Credit Income Summary $872,000

Credit Income Summary $18,145

Debit Sales discounts $8,300

Debit Sales returns and allowances $9,845

Debit Rent revenue $3,400

Credit Income Summary $3,400

Debit Income Summary $647,555

Credit:

 Merchandise inventory $34,360

 Purchases                      627,700

 Freight in                             5,110

Debit:

 Purchase discounts                     $6,300

 Purchase returns & allowances    13,315

Credit Income Summary $19,615

Debit Income Summary $183,600

Credit :

Property tax expense              $3,500

Depreciation expense             14,900

Salaries expense                    121,600

Freight out                                 8,200

Insurance expense                   9,000

Utilities expense                     20,700

Interest expense                      5,700

5. The post-closing entries to the Merchandise Inventory and Capital accounts are as follows:

Debit Merchandise inventory $37,370

Credit Income Summary $37,370

Debit Statement of Equity $12,000

Credit Owner's drawings $12,000

Debit Income Summary $63,470

Credit Statement of Equity $63,470

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Answer:

The simple interest owed is $51

Step-by-step explanation:

The formula for simple interest is I = Prt, with I for interest, P for principle, r for interest rate, and t for time (in years)

The equation is I = 2550(0.02)(1), which is I = 51.

Hope this helps :)

Answer:

A cylinder has parallel discs bases that are congruent in size.

Step-by-step explanation:

Answer:

A, C, D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Retail price is:

Answer:

\(Rate = \$0.05\)

Step-by-step explanation:

Given

\(Base\ Amount = \$0.50\)

\(Additional = \$0.05\)

Required

Determine the rate of change.

From the given parameters, we understand that the on a daily basis, there's a charge of $0.05.

This charge represent the rates at which the fee changes on a daily basis.

Hence:

\(Rate = \$0.05\)

Answer:

y is 0,3

Step-by-step explanation:

To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

Answer:

(0,3)

Step-by-step explanation:

Two methods:

Method 1:  General method for any equation

Method 2: Method specific for parabolas in standard form

Method 1:  General method for any equation

For any two-variable equation to be graphed, the y-intercept is the point where the graph crosses the y-axis.  The y-axis is a vertical line through the origin (0,0).

Any y-intercept is on that line, and to get to that point starting from the origin, one can't travel left or right to get to the y-intercept point (without moving back to the y-axis).  The only movement would be up or down.

Since no left-right movement will happen, the x-coordinate is zero.

For any two-variable equation, the x and y coordinates of any point on the graph are linked by the equation.  If it is known that the x-value is zero, the y-value associated with that x-value is given by substituting zero into the equation everywhere there is an "x", and solving for "y".

\(y=-4x^2-x+3\)

\(y=-4(0)^2-(0)+3\)

Order of operations requires exponents before multiplication, or addition & subtraction...

\(y=-4(0)-(0)+3\)

multiplication...

\(y=0-0+3\)

addition & subtraction, from left to right...

\(y=3\)

So, when the x-value is zero, the y-value is three.  Therefore, the ordered pair representing that point is (0,3).

Method 2: Method specific for parabolas in standard form

The given equation is the equation for a parabola (as stated in the question), and it is given in "standard form": \(y=ax^2+bx+c\), where a, b, and c are real numbers (and a isn't equal to zero, because then the x-squared term would be zero, and the equation would really just be a linear equation).

Note that for our equation, it is in standard form if we rewrite the equation to only use addition, \(y=-4x^2+-1x+3\), where \(a=-4, ~b=-1 ~ \text{and}~c=3\)

For a parabola in standard form, the y-intercept is always at a height of "c".

So, the y-intercept would be (0,3).

Answer:

Given that,

Rectangle is removed from a right triangle to create the shaded region

To find the area of the shaded region.

Area of the shaded region is

Base of the right triangle is 8 ft

Height of the right triangle is 9 ft

Area of the right triangle is,

Area of the rectangle is,

Area of the shaded region is,

Area of the shaded region is 32 ft^2.

Answer:

D and F

Step-by-step explanation:

In the attached file

Problem 2

Based on those variables, we can form these equations

The system of equations is

\(\begin{cases}x+y+z = 75\\x = 3y+6\\z = y-11\\\end{cases}\)

Let's start with the first equation. Then apply substitution like so

x+y+z = 75  

3y+6+y+z = 75 ... plug in x = 3y+6

4y+6+z = 75

4y+6+y-11 = 75 ... plug in z = y-11

5y-5 = 75

5y = 75+5

5y = 80

y = 80/5

y = 16 = amount of candy Joe collected

z = y-11 = 16-11 = 5 = amount Josh collected

x = 3y+6 = 3*16+6 = 54 = amount Ian collected

======================================================

Problem 3

x = number of pounds of candy that sells for $1.49 a pound

1.49x = cost of buying those x pounds of candy at that unit price

4.50*5 = 22.50 = cost of buying 5 pounds at $4.50 per pound

1.49x+22.50 = total cost

x+5 = total weight in pounds

(total cost)/(total weight) = final cost per pound

(1.49x+22.50)/(x+5) = final cost per pound

(1.49x+22.50)/(x+5) = 3.64

1.49x+22.50 = 3.64(x+5)

1.49x+22.50 = 3.64x+18.20

22.50-18.20 = 3.64x-1.49x

4.30 = 2.15x

2.15x = 4.30

x = (4.30)/(2.15)

x = 2

======================================================

Problem 5

g = number of ghosts

w = number of witches

s = number of scarecrows

g+w+s = 22 = total number of items

w = g+1 since there's one more witch compared to ghosts

s = w-7 since there's 7 less scarecrows than witches

The system we need to solve is

\(\begin{cases}g+w+s = 22\\w = g+1\\s = w-7\\\end{cases}\)

We'll use substitution here as well

g+w+s = 22

g+w+w-7 = 22 ... plug in s = w-7

g+2w-7 = 22

g+2(g+1)-7 = 22 ... plug in w = g+1

g+2g+2-7 = 22

3g-5 = 22

3g = 22+5

3g = 27

g = 27/3

g = 9, there are 9 ghosts

w = g+1 = 9+1 = 10 witches

s = w-7 = 10-7 = 3 scarecrows

10 witches and 3 scarecrows

Ex) There are six outcomes for rolling a die: 1, 2, 3, 4, 5, and 6. ... Formula for Theoretical Probability. P (event) = outcomes possible of number ... Write the probability as a fraction. Ex) P(3). Ex) P(3 or 4). Ex) P(even). Ex) P(4) ... Ex) Mr. Hayes tossed a coin 12 times to determine whether or not it would land on hands or tails.

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Answer: 57.50$

Step-by-step explanation:

if you have more questions like this there are good commission calculators id recommend look them up

15% of 50 is 7.50

add them together and you get

57.50$

hope this helps

Answer:

\( V = \frac{182.4 mi}{3 hr}= 60.8 \frac{mi}{hr}\)

And then we can find the distance travelled in 11 hours with this formula:

\( D = Vt\)

And replacing we got:

\( D = 60.8 \frac{mi}{hr} *11 hr =668.8 mi\)

So then after 11 hours she will travel 668.8 mi

Step-by-step explanation:

For this case w eknow that Alicia drove at a constant speed 182.4 mi in 3 hours. We can find the speed with this formula:

\( V= \frac{D}{t}\)

Where V is the velocity, D the distance and t the time if we replace we got:

\( V = \frac{182.4 mi}{3 hr}= 60.8 \frac{mi}{hr}\)

And then we can find the distance travelled in 11 hours with this formula:

\( D = Vt\)

And replacing we got:

\( D = 60.8 \frac{mi}{hr} *11 hr =668.8 mi\)

So then after 11 hours she will travel 668.8 mi

b = amount of bantha milk

t = amount of tauntaun milk

b + t = 350

0.16 b + 0.09 t = 0.12(b + t) = 42

t = 350 - b

0.16 b + 0.09 (350 - b) = 42

0.16 b + 31.5 - 0.09 b = 42

0.07 b = 10.5

b = 150

t = 200

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.

The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.

In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.

In this polynomial, we have:

Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)

Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)

Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)

Term 4: -1 (This is a constant term with a degree of 0.)

We can see that there are four distinct terms separated by addition and subtraction operations:

18x³, -2x², 4x, and -1.

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