Solve for x:
A) 27
C) 39
E) 30
79⁰
(2x+1)
B) 23
D) 35

Given,

The measure of side AE is 4.

The measure of side EB is 2.

The measure of side DE is 8.

Required:

The measure of line EC.

Answer: {y,x} = {-9,-2}

Step-by-step explanation:

the expression would be used as follows:

Number of boxes of donuts (N) = 6 x Number of donuts (D)

Ling bought 108 boxes of donuts.

This expression is a mathematical equation that uses multiplication to calculate the number of boxes of donuts Ling bought.

Equations are used to solve problems involving unknowns, such as how much a person owes for groceries or how many people are required to complete a certain task.

The expression that would show how many boxes of donuts Ling bought is:

Number of boxes of donuts (N) = 6 x Number of donuts (D)

In this expression, N represents the number of boxes of donuts Ling bought and D represents the number of donuts. This expression can be used to calculate the number of boxes of donuts Ling bought when the number of donuts is known.

For example, if Ling bought 18 donuts, the expression would be used as follows:

Number of boxes of donuts (N) = 6 x Number of donuts (D)

N = 6 x 18

N = 108

Therefore, Ling bought 108 boxes of donuts.

This expression is a mathematical equation that uses multiplication to calculate the number of boxes of donuts Ling bought. The expression can be used whenever the number of donuts is known and can be used to calculate the number of boxes of donuts Ling bought.

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The length of Marisa's garden is 10

The given parameters are:

Perimeter = 32 feet

Width = 6 feet

The perimeter is calculated as:'

Perimeter = 2 * (Length + width)

So, we have

2 * (Length + 6) = 32

Divide by 2

Length + 6 = 16

Subtract

Length = 10

Hence, the length of Marisa's garden is 10

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The monthly payment will be 1,228.18.

What is principle amount?

The amount you owe at any one moment is the primary amount. When you first took out the loan, it is exactly your loan amount. The principle amount drops as you make EMI payments, and when it hits zero, your loan is closed.

The total price of the home is $241,000.

The down payment will be 15% among the total price.

Rest amount will be paid by taking loan for 30 years.

The down payment amount is

15% of $241,000 = $ 241,000×15/100 = $36,150.

Hence the loan amount is going to be the rest amount, that is,

$(241,000-36,150) =$204,850.

So the principle amount, P= $204,850.

Interest rate= 5% implies

interest, R= 5/100 = 1/20 = 1/12×1/20 (monthly) = 1/240.

Number of years, N= 30 years = 30×12 months = 360 months.

Hence the monthly payment will be

[  P × R × (1+R)N ] / [ (1+R)N - 1 ] = $1,099.68.

So the principle amount, P= $204,850.

Interest rate= 6% implies

interest, R= 6/100 = 1/12×6/100 (monthly) = 1/200.

Number of years, N= 30 years = 30×12 months = 360 months.

Hence the monthly payment will be

[  P × R × (1+R)N ] / [ (1+R)N - 1 ] = 1,228.18

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Answer:

Step-by-step explanation:

\(\frac{15}{7} or \frac{26}{9}\)

Answer:

y-intercept: -4, slope: -3/2 or -1.5

Step-by-step explanation:

The point where the line goes through the y axis has y coordinate of -4 so that is the y-intercept.

The line goes down 3 units every 2 units to the right. The slope is rise over run, so that makes the slope -3/2.

Step-by-step explanation :

Sum of first 50 terms for the AP:

\(\dashrightarrow { \boxed{\sf S = \dfrac{n}{2} (2a + (n - 1)d )}}\)

where ,

On substituting the values , we get :

\(\dashrightarrow \sf S = \dfrac{50}{2}(2 \times 8 + (50 - 1) \times 12) \ \\ \\ \dashrightarrow \sf S = 25(16 + 49 \times 12 ) \\ \\ \dashrightarrow \sf S = 25(16 + 588 )\\ \\ \dashrightarrow \sf S = 25(604 )\\ \\ \dashrightarrow \sf S = 15100 \\ \)

\( \therefore\) Sum of the first 50 terms is 15100

We have a square pyramid with volume V = 296 cm³.

The base edge length is equal to the height.

We have to find the height of the pyramid.

We can express the volume as one third of the product of the base area and the heigth, so we can write:

As the base edge length b is equal to the height h, we can express the volume as:

As we know that V = 296 cm³, we can calculate h as:

Answer: the height is approximately 9.61 cm.

Answer:

In 2022, the town's population is 2220.

Step-by-step explanation:

It currently the year 2022. Hence, 22 years have passed since 2000.

2022 − 2000 = 22

To solve for the town's population today, first multiply the years passed since 2000 by the percent decrease each year.

\(22 \, \textrm{years} \times \dfrac{3.2 \, \%}{\textrm{year}} = 70.4 \, \%\)

Then, subtract that percent of the population in 2000 from the population in 2000.

\(7500-(70.4 \,\% \cdot 7500)\)

\(= 7500 - 5280\)

\(=2220\)

The ratio of the perimeters is 5:1.

The area around a form's edge is known as its perimeter. By adding together the lengths of the sides of various forms, one may determine their perimeter.

A rectangle's dimensions are scaled by a factor of 5 when each of its dimensions is multiplied by 5. Moreover, the new rectangle's perimeter will be scaled by a factor of 5. As a result, the following will be the ratio of the new rectangle's perimeter to the previous rectangle:

5 * (old rectangle's perimeter) / (perimeter of old rectangle)

which is equivalent to:

5:1

The perimeters are therefore 5:1 in ratio.

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The quantity of each colour beads that are in the necklace include the following:

Purple beads = 56

Purple beads = 56silver beads = 24

A ratio is defined as the mathematical expression that shows the number of times one value is contained in another value.

The number of purple beads = 14

The number of silver beads ,= 6

The total quantity of beads = 80

Therefore the total combination = 14+6 = 20

For purple beads = 14/20 × 80/1

= 1120/20 = 56

For silver beads = 6/20×80/1

= 480/20= 24

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Answer:

Ashley = 79

Step-by-step explanation:

\(Average=\frac{Carla+Bev+Ashley}{3}=78\\\\\frac{80+75+Ashley}{3}= 78 \\\\\frac{155+Ashley}{3}=78\\\\\frac{155+Ashley}{3}*\frac{3}{1} =78*3\\\\155+Ashley=234\\\)

Subtract 155 from both sides;

Ashley = 79

The equation is proved.

G\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`\)

We need to prove the given equation. Solution: Using the identity \(`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`\)

in the given equation, we get

\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-\)

\(2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)\)

\((2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹\)

\(`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-\)

\(sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹\)

`\(2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`\)

For `LHS`, using identity

\(`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹\)

\(`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-\)

\(1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.\)

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Answer:

Without a visual or additional information, it is difficult to determine the exact value represented by point X. However, we can make some observations based on the answer choices:

A. X < 0.36 would indicate that point X is to the left of 0.36 on the number line, which is not consistent with the position of X in the diagram.

B. X < 0.37 would indicate that point X is to the left of 0.37 on the number line, which is not consistent with the position of X in the diagram.

C. X = 0.36 would indicate that point X is exactly at 0.36 on the number line, which is a possibility based on the diagram.

D. X = 0.37 would indicate that point X is exactly at 0.37 on the number line, which is not consistent with the position of X in the diagram.

Therefore, the best answer choice that describes the value represented by point X is C) X = 0.36.

Answer:

364.46

Step-by-step explanation:

First we need the height of the cone

so we divide the cone to two equal parts that means the adjacent 5 inches will be divided into two to give 2.5

then we use get a triangle from the cone and that's how we find our height using pythagoras theorem

hypotenuse Square = opposite Square + adjacent Square

7^2 = x^2 + 2.5^2

therefore our height is 6.53

now to get the surface area of the cone we use the formula

pi×r( r + Square root of r^2 + h^2

The sum of the terms is x^7+10x^4+4x^3-5x^11-10x^6

To determine the value, we need to know that algebraic expressions are described as expressions that are composed of factors, constants, variables, terms and coefficients.

These algebraic expressions are also identified with the presence of arithmetic operations,

These operations are;

From the information given, we have that;

7x^7+10x^4+4x^3-5x^11-10x^6-6x^7

collect the like terms

7x^7 - 6x^7+10x^4+4x^3-5x^11-10x^6

add the like terms

x^7+10x^4+4x^3-5x^11-10x^6

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The inverse statement is false.

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Answer:

A

Step-by-step explanation:

because problem make more sences

Answer:

A it cannot be modeled with a rectangle  

Step-by-step explanation:

Answer:

use slope intercept formula

y=Mx +b

Step-by-step explanation:

3X-4Y=8

3X-8 = 4Y

y = 3/4x-2

our new equation just needs to have the same slope  M= 3/4

y-y1=M(x-x1)

y-4=3/4(x-(-16))

y=3/4x+12+4

y=3/4x+16  answer a

for a perpendicular line.. just take the inverse of the slope... and change the sign.  so now our slope is - 4/3

plug in our new point (9,-7)

y-(-7) = -4/3(x-9)

y+7=-4/3x+12

y= -4/3x +5 answer b

Answer:

Those three pieces should be 15 inches, 20 inches and 24 inches long.  

Step-by-step explanation:

The computation of the profitability ratios for Western Bookkeeping and Tax Service is as follows:

Profitability ratios are the financial ratios that evaluate an entity's ability to convert its earnings (revenue) into profit versus different criteria.

Some of the common profitability ratios include:

Stockholders' equity = $442,600

Total assets = $640,000

Net sales = $480,000

Net income = $36,000

Profit margin ratio = Net income/Net Sales x 100

= $36,000/$480,000 x 100

= 7.5%

= 8%

Return on equity ratio = Net income/Shareholders' Equity x 100

= $36,000/$442,600 x 100

= 8.13%

= 8%

Asset turnover ratio = Net Sales/Total Assets

= $480,000/$640,000

= 0.75

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Answer:

Step-by-step explanation:

(t - 6)^2 = t^2 - 12t + 36

(t + 6)^2 = t^2 + 12t +36

(t - 6)^2 - (t + 6) = t^2 - 12t + 36 - (t^2 + 12t + 36)

(t - 6)^2 - (t + 6) = t^2 - 12t + 36 - t^2 - 12t - 36

(t - 6)^2 - (t + 6) = -24t    The other 4 terms cancel out.

-24t = 0   Divide by - 24

t = 0

There is one root.

Answer:

9/12

Step-by-step explanation:

The easiest way to do this would to multiply the numerator and the denominator.

We need to find out how to get the numerator (3) to 9.

We can do this equation.

3 × 3 = 9

Now that we have multiplied the numerator by 3, we now need to multiply the denominator by 3.

4 × 3 = 12

The new fraction is 9/12.

Answer: 9 is true, 10 is false

Step-by-step explanation:

The key to these problems is to make sure the sequence of the letters is equal: 10 would be correct if they said DF ≅XZ

Answer:

2/15

Step-by-step explanation:

Take the fractions of the park for sports and multiply the fraction of the sports that is for soccer.  That will give the fraction of the park that is for soccer

1/3 * 2/5 = 2/15

Answer:

1/32

Step-by-step explanation:

Answer:

0.03125

Step-by-step explanation:

2^(-5)

0.03125

During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, the population 7.2 minutes from now can be calculated using the following formula:

P(t) = P ₀e^(rt)where ,P₀ = initial population r = growth rate (as a decimal) andt = time (in minutes)Substituting the given values, P₀ = 172.0 million r = 1.9% per minute = 0.019 per minute (as a decimal)t = 7.2 minutes

The population after 7.2 minutes will be:P(7.2) = 172.0 million * e^(0.019*7.2)≈ 234.0 million (rounded to the nearest tenth)Therefore, the population of e.coli bacteria 7.2 minutes from now will be approximately 234.0 million.

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