Lines AC and BD intersect at point O
A
B
C
If mLAOD=(7x-5) and m

Answer: y=3

Step-by-step explanation:

Slope formula: m=(y2-y1)/(x2-x1)

3/4=(y2-y)/(x2-x1)

3/4=(-3-y)/(-1-7)

3/4=(-3-y)/(-8)

(3/4=(-3-y)/(-8))*(-1) ==> Negate the equation to remove the negative denominator

-3/4=(-3-y)/8

8*(-3/4)=(-3-y)/8 * 8

8*(-3/4)=(-3-y)/8 * 8

-24/4=-3-y

-3-y=-6

-3+3-y=-6+3

-y=-3

y=3

Answer:

1, -5

Step-by-step explanation:

you can this solve easily

3 - -1 = 4 units down from y = -1

x does not change in this reflection

Franklin wrote his autobiography for a number of reasons: to "remember" and relive his life, perhaps more perfectly, as he said at the beginning; to provide some genealogical anecdotes to his son; to bow before his friends To their flattery, he owes society an account of his life.

Benjamin Franklin was an American polymath author, scientist, inventor, statesman, diplomat, printer, publisher, forger, and political philosopher. Among the leading intellectuals of the time, Franklin was one of the founding fathers of the United States, the drafter and signer of the American Declaration of Independence, and the first postmaster of the United States.

As a scientist, he was an important figure in American Enlightenment history and physics as he studied electricity and mapped and named the Gulf Stream. As an inventor, he is known for the lightning bolt, bifocal glasses, and the Franklin stove, among others. He founded many civic organizations, including the Library Company, Philadelphia's First Fire Department, and the University of Pennsylvania. Franklin earned the title of "First American" for his early and tireless efforts to unify the colonies and for his work in London as a writer and spokesperson for several colonies. As the first United States Ambassador to France, he exemplified America's rise to power.

Franklin defined the American spirit as the combination of practical values ​​of economy, industry, education, community spirit, self-government, and opposition to political and religious authoritarianism with the values ​​of science and tolerance. clarification. In the words of historian Henry Steele Commager, "In Franklin it was possible to combine the virtues of faultless Puritanism, the lightness of Enlightenment without enthusiasm." Franklin has been called "the most able and influential American inventor in this type of society". America will become.

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The quarterly operating profit margin of TMG Ltd over the past six years is provided in Table 4.1, indicating the financial performance of the business during that period.

In order to assess the impact of the intervention strategy introduced by the current CEO three years ago, the board of directors (BOD) of TMG Ltd has contracted a researcher to analyze the data and determine if there have been significant improvements in the business outcomes. The quarterly operating profit margin serves as the unit of analysis for this evaluation.

Table 4.1 allows the researcher to examine the trend and fluctuations in the quarterly operating profit margin over the six-year period. By analyzing the data, the researcher can identify any noticeable changes in the financial performance of TMG Ltd, particularly after the implementation of the intervention strategy. The BOD is interested in understanding whether the strategy has resulted in improved profitability and overall financial health of the company.

The researcher will likely perform statistical analysis, such as calculating averages, trends, and identifying any significant variations, to draw conclusions about the effectiveness of the intervention strategy. By comparing the quarterly operating profit margin before and after the strategy's implementation, the researcher can assess whether the new CEO's efforts have had a positive impact on the company's financial performance.

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Answer:

$100

Step-by-step explanation:

100 bills in each bag

$100 in 10 bags

Macy had 3 appointments.

Logan had 5 appointments.

What is the quadratic equation?

A quadratic equation is a type of polynomial equation of degree 2, which is written in the form of "ax^2 + bx + c = 0", where x is the variable and a, b, and c are constants. The solutions to a quadratic equation can be found using the quadratic formula: x = (-b ± √(b^2 - 4ac))/2a.

Part A:

Let x be the number of appointments Macy had.

We know that the total income (60x + 40) must equal 220.

Therefore, the equation representing the situation is:

60x + 40 = 220

To solve for x, we can subtract 40 from both sides:

60x = 180

Finally, we divide both sides by 60 to get:

x = 3

Macy had 3 appointments.

Part B:

Let y be the number of appointments Logan had.

We know that the total profit (70y + 50 - 20y) must equal 300.

Therefore, the equation representing the situation is:

50y + 50 = 300

To solve for y, we can subtract 50 from both sides:

50y = 250

Finally, we divide both sides by 50 to get:

y = 5

Logan had 5 appointments.

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Answer:

Step-by-step explanation:

22 - to find the volume for an object with a constant cross sectional area you just have to multiply the height by the cross sectional area so

36m x 4m

= 144m2

23- πr² = 56.52
      r² = 18

      r = 4.2m  

24 - πx6²x3 = 339 cm2

Answer:

m<1=76°

m<2=14°

Step-by-step explanation:

The angles are complementary since they make a right angle. That means they add up to 90 degrees.

\(4x+(x-5)=90\\5x-5=90\\5x=95\\x=19\)

Then you input the variable into the original values to find each angle measure.

\(4x\\4(19)=76\)

\((x-5)=\\(19-5)=14\\\\76+14=90\)

Answer:

x-9cm

Step-by-step explanation:

compute

Perimeter is the sum of the 4 sides. If the sides are scaled by a factor of 1.5, then the perimeter is also scaled by a factor of 1.5.

New perimeter: 45 ft x 1.5 = 67.5 feet.

Based on the information given, it can be seen that the length or the book will be 20cm.

From the information given, Leena read a book that had a perimeter of 72 cm and one side of the book is 16 cm. Therefore, the length will be calculated thus:

Perimeter = 2(Length + Width)

72 = 2(Length + 16)

72 = 2L + 32

2L = 72 - 32

2L = 40

L = 40/2

L = 20

Therefore, the length is 20cm.

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Answer:

10 seconds, decreasing, standing still

Step-by-step explanation:

Perimeter = 2(8 cm + 6 cm) = 2(14 cm) = 28 cm. We can calculate it in the following manner.

The perimeter of the rectangular piece of cardboard is the sum of all four sides. Using the given measurements of 8 cm by 6 cm, we can calculate the perimeter as follows:

Perimeter = 2(Length + Width)
Perimeter = 2(8 cm + 6 cm)
Perimeter = 2(14 cm)
Perimeter = 28 cm

Therefore, the perimeter of the rectangular piece of cardboard is 28 cm.
Hi! To calculate the perimeter of a rectangular piece of cardboard with measurements 8 cm by 6 cm, you can use the formula: Perimeter = 2(Length + Width). In this case, the length is 8 cm and the width is 6 cm.

Your answer: Perimeter = 2(8 cm + 6 cm) = 2(14 cm) = 28 cm.

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Answer: 4,375 rs

Step-by-step explanation:

25% × 17,500 = 4,375

Answer:

$4375

Step-by-step explanation:

25 percent *17500 =

(25:100)*17500 =

(25*17500):100 =

437500:100 = 4375

Now we have: 25 percent of 17500 = 4375

The value of (-14) 3 when evaluated is -42.

Given,

The expression = (-14) 3

We have to evaluate this and find the value.

Evaluating an expression:

Finding the value of an algebraic expression when a specified integer is used to replace a variable is known as evaluating the expression. When evaluating an expression, we change the variable in the expression to the given number and then use the order of operations to simplify the expression.

That is,

(-14) 3 = -14 × 3 = -42

Therefore, the value of (-14) 3 when evaluated is -42

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Answer:

its $24 x 1.20 because 20%= 0.2. the answer is 28.8

Step-by-step explanation:

Answer:

28.80 (answer choice 3)

Step-by-step explanation:

20% of 24 is 4.8 not 9.6

Answer:

The bridge is 80 feet long

Step-by-step explanation:

We will use the ratio method to solve the question

∵ The engineer used the scale 3 inch = 40 feet

∴ The scale drawing is ⇒ 3 inche :  40 feet

∵ The drawing length of the bridge is 6 inches

→ By using the ratio method

→  inch :  feet

→  3      :  40

→  6      :  x

→ By using cross multiplication

∵ 3 × x = 6 × 40

∴ 3x = 240

→ Divide both sides by 3

∴ x = 80

∵ x represents the actual length of the bridge

∴ The bridge is 80 feet long

95 kg is equal to 0.45359237 lbs. A kilogram (kg) is said to weigh 2.2 times more than a pound (represented as lbs). As a result, 2.26 pounds equal one kilo of mass.

The kilogram (kg) is the SI's (International System of Units) definition of a unit of mass. It is a measurement scale that is widely used in science, engineering, and business all around the world. "1,000 grams" is what it means. The International System of Units' unit of mass is the kilogram, which is represented by the unit sign kg. It is a measurement scale that is widely used in science, engineering, and business all around the world. Its meaning is "1,000 grams." The abbreviation for a kilogram is kg or kilo. A kilogram weighs 0.4535 pounds. 2.2046 pounds are equal to one kilogram.

95 kg= 0.45359237 lbs

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a)

Form:

The given form is factored form of quadratic equation.

Key features:

Factors of the quadratic equation are;

x= 5 and x = -3

Specific key features:

Converting the factored form in standard form,

x² -2x -15 = 0

Coefficients:
a = 1

b = -2

c = -15

Direction of opening:

Coefficients of x² is positive, thus the parabola opens Upwards.

b)

Form:

The given form is vertex form of quadratic equation.

Key features:

Standard form of vertex from:

a( x-h )² + k

Specific key features:

a, h, k are real numbers and a≠ 0

Direction of opening:

Coefficients of x² is negative, thus the parabola opens Downwards.

c)

Form:

The given form is Standard form of quadratic equation.

Key features:

Standard form of quadratic equation:

ax² +bx +c = 0

Specific key features:

Coefficients:
a = -1

b = 3

c = 7

Direction of opening:

Coefficients of x² is negative, thus the parabola opens Downwards.

Hence Quadratic equation can be elaborated in this way.

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The three examples of quadratic equations are x(x - 2) = 4, x(2x + 3) = 12 and 3x(x + 8) = -2

The term quadratic equation also known as quadratic expression referred as an equation containing one term in which the unknown is squared and no term in which it is raised to a power higher than 2.

Here the examples of quadratic equations in other forms is written as follows:

=> x(x - 2) = 4

Here we have to multiply and then moving the 4, then we get the quadratic expression as,

=> x² - 2x - 4 = 0

Another example like the following,

=> x(2x + 3) = 12

Here we have to multiplying and moving the 12, then we get the resulting expression as,

=> 2x² - 3x - 12 = 0

Final example for quadratic expression is written as

=> 3x(x + 8) = -2

When we multiplying and moving the -2, then we get the simplified form as

=> 3x² + 24x + 2 = 0

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Answer: 1.60

Step-by-step explanation:

ask siri

Answer:

Step-by-step explanation:

Greetings!!

\(step1\)

20%=100%/5

\(step2\)

8/5=1.6

\(step3\)

5= 10/2

\(step4\)

Divide the numbers by 10:

8/10=0.8

\(step5\)

Multiply the numbers from step4 by 2.

0.8×2= 1.6

If you have any questions tag it on comments

Hope it helps!!!

Given:

A quadratic function has a line of symmetry at x = –3.5 and a zero at –9.

To find:

The other zero.

Solution:

We know that, the line of symmetry divides the graph of quadratic function in two congruent parts. So, both zeroes are equidistant from the line of symmetry.

It means, line of symmetry passes through the mid point of both zeroes.

Let the other zero be x.

\(-3.5=\dfrac{(-9)+x}{2}\)

Multiply both sides by 2.

\(-7=-9+x\)

Add 9 on both sides.

\(-7+9=-9+x+9\)

\(2=x\)

Therefore, the other zero of the quadratic function is 2.

Answer: A=0, B=6, C=4.

The axis of symmetry is x = ½

The smaller zero is -2

The larger zero is 3

Step-by-step explanation: Correct in edge 2020, the format makes it hard to find answers online but I just did the assignment

The value of the expression (12 - 3/5√25)^2 + (2 - 4)^2 is 85

The expression is given as

(12 - 3/5√25)^2 + (2 - 4)^2

Evaluate the square root of 25

So, we have

(12 - 3/5√25)^2 + (2 - 4)^2 = (12 - 3/5 * 5)^2 + (2 - 4)^2

Evaluate the product

So, we have

(12 - 3/5√25)^2 + (2 - 4)^2 = (12 - 3)^2 + (2 - 4)^2

Evaluate the difference

So, we have

(12 - 3/5√25)^2 + (2 - 4)^2 = 9^2 + (2 - 4)^2

Evaluate the exponent and the sum

So, we have

(12 - 3/5√25)^2 + (2 - 4)^2 = 85

Hence, the value of the expression (12 - 3/5√25)^2 + (2 - 4)^2 is 85

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A rectangle's length is 5 inches greater than its width. if the perimeter of the rectangle is 42 inches, then the length is 13 inch.

A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

here, we have,

a rectangle's length is 5 inches greater than its width.

if the perimeter of the rectangle is 42 inches

let, width = x

then, length = x+5

so, perimeter= 2(x+5 +x)

                      = 4x+10

ATQ, 4x+10 = 42

solving we get,

x=8

the length = 13

Hence, A rectangle's length is 5 inches greater than its width. if the perimeter of the rectangle is 42 inches, then the length is 13 inch.

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Drawing three cards without replacement from an incomplete deck of 4 aces, 4 twos, and 4 threes, the probability of drawing two aces and one two is approximately 0.0436 or 4.36%.

We can use the formula for the probability of drawing a combination of cards from a finite set without replacement:

P(A) = (n(A) / n) * ((n-1)(A) / (n-1)) * ((n-2)(A) / (n-2))

where n(A) is the number of ways to draw the desired combination of cards, n is the total number of cards in the deck, and (n-1)(A) and (n-2)(A) are the reduced numbers of cards available for the second and third draws, respectively.

In this case, we want to find the probability of drawing two aces and one two. There are 4 aces and 4 twos in the deck, so the number of ways to draw 2 aces and 1 two is:

n(A) = C(4,2) * C(4,1) = 6 * 4 = 24

where C(n,k) represents the number of combinations of k items that can be selected from a set of n items.

The total number of ways to draw 3 cards from the deck is:

n = C(12,3) = 220

Substituting these values into the formula, we get:

P(A) = (24/220) * (4/11) * (3/10) = 0.0436

Therefore, the probability of drawing two aces and one two from the incomplete deck of cards is approximately 0.0436 or 4.36%.

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The value of y is 5/4.

To solve the ratio equation 12:3 = 5:y, we need to find the value of y.

The ratio 12:3 can be simplified by dividing both sides by their greatest common divisor (GCD), which is 3.

Dividing 12 by 3 gives us 4, and dividing 3 by 3 gives us 1. So, the simplified ratio becomes 4:1.

Now we have the equation 4:1 = 5:y. To solve for y, we can set up a proportion:

4/1 = 5/y

Cross-multiplying, we get:

4y = 5 × 1

Simplifying further:

4y = 5

To isolate y, we divide both sides of the equation by 4:

y = 5/4

Therefore, the value of y is 5/4.

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Answer:

the amount paid by Sarah is $20.64

Step-by-step explanation:

Given that

The total cost of the dinner is $61.92

And her friends pay 2 by 3

We need to find out the amount paid by Sarah

Since her friends pay 2 by 3 of the total cost

That means the remaining should be paid by Sarah i.e. 1 by 3

So, we need to multiply 1 by 3 with the total cost of the dinner i.e.

= 1 ÷3 × $61.92

= $20.64

Hence, the amount paid by Sarah is $20.64

Answer:

28 miles per gallon

Step-by-step explanation:

A 2-column table with 4 rows. Column 1 is labeled Gallons with entries 2, 4, b, 10. Column 2 is labeled miles with entries 56, a, 168, c.

Alexa is planning to drive across the United States in her car. She started making a table to represent the proportional relationship between gallons of gas and miles driven. The table shows how far she can travel for each gallon of gas that she uses.

What is the constant of proportionality?

Answer:

A=112

B=6

C=280

Step-by-step explanation: This may be a bit of differ question. Though if you question is: A 2-column table with 4 rows. Column 1 is labeled Gallons with entries 2, 4, b, 10. Column 2 is labeled miles with entries 56, a, 168, c.

Alexa is planning to drive across the United States in her car. She started filling out the table showing how far she can travel for each gallon of gas that she uses. Find the missing values using the constant of proportionality of 28 miles per gallon.

Then those will be the answers if you have a multiple answer question!

Hope i helped somewhat

Step-by-step explanations for each question (question titles in bold):

Question 9:

None of the given values match a value for the equation, so I cannot give an explanation because I am lost as well.

Question 10:

Percent rate of change is the determination by how much of a percent does something exponentially change throughout a given period of time. It will either grow or decay.

Numbers that are within the range of 0.01 to 0.99 will decay, and any number above that defined range will grow. Because 0.96 is between the defined range, this is a decay function. Therefore, we can eliminate options B and C.

Now, because we know that is is decay, we can figure out the depth of the decay. To do this, simply subtract the number in parentheses from 1 (this only works IF and ONLY IF there is a decay!) and determine your percent of decay. Therefore, the final answer is D - 0.04% exponential decay.

Question 11:

Natural logarithms are the ln button on your calculator and use e also. e = \(2.71828\) where the last 4 digits constantly repeat with no termination. However, for this equation, we do not substitute this value or it will mess up your answer and put you off by a little bit (you will get VERY close to the actual answer, but if it were a fill-in response, your rounding would be off by a couple of digits).

To solve this equation, first subtract 2 from both sides to leave the \(3e^{2}x\) lonesome and turn the 28 into 26. This gives us \(3e^{2}x=26\).

Then, divide by the coefficient of 3 on both sides to get \(e^{2}x\) by itself. This gives us \(e^{2}x = 8.66667\).

Then, we take the natural logarithm of both sides. This cancels out our e and gives us \(2x\) on the left and \(ln(8.66667) = 2.15948\). This leaves us with \(2x = 2.15948\) and therefore leaving us with a simple one-step equation remaining.

Finally, just divide both sides by 2 to isolate the x and attach the x to a defined value: \(\frac{2.15948}{2} =1.07974\). Therefore, we can determine that the final answer is A - 1.0797.

Question 12:

The given equation can be written as \(log_{b} (y^{5} +x^{6} )\).

To determine this, we can write our given equation as \(5log_{b}y + 6log_{b}x\). Now, we can rearrange this using logarithmic identities (we will be using \(log_{a}x^{n} =nlog_{a}x\)). We simply arrange our terms to gain this answer.

Therefore, we just use arrangements to see the given equation in form of the new identity, which rearranging gives us \(log_{b}y^{5} + log_{b}x^{6}\).

Now, we can condense our logarithm because we have the same coefficients and the same bases (identity = \(log_{b}xy = log_{b}x + log_{b}y\)).

So, by breaking up our logarithm and then condensing it, we get \(log_{b}(y^{5}+x^{6})\).

Therefore, our final answer is \(log_{b}(y^{5}+x^{6})\), or answer choice C.