Examine the image shown.

Which transformation would move figure 1 to figure 2?
k

Answer:

Equation 3: 4y + (y - 1) = 29 (y = 6)

Equation 1: (2y + 3) - 4 = 9 (y = 5)

Equation 2: 4y - y + 1 = 13 (y = 4)

Step-by-step explanation:

i. The value of x can be obtained as illustrated below:

Cos θ = Adjacent / Hypotenuse

Cos 45 = x / 2√2

Cross multiply

x = 2√2 × Cos 45

x = 2√2 × (1/√2)

x = 2

Thus, the value of x is 2

ii. The value of y can be obtained as follow:

Sine θ = Opposite / Hypotenuse

Sine 45 = y / 2√2

Cross multiply

y = 2√2 × Sine 45

y = 2√2 × (1/√2)

y = 2

Thus, the value of y is 2

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Answer:

y = 4x + 3

Step-by-step explanation:

slope m = (7 - 3)/(1 - 0) = 4/1 = 4

y = mx + b

given y = 3, x = 0, m = 4

3 = 4(0) + b

b = 3

=> y = 4x + 3

Answer:

Slope = 4

y = 4x + 3

Step-by-step explanation:

y2 - y1

x2 - x1

= 4

Answer: lig

Step-by-step explanation:

hhh

The yield to maturity of the bond is -2.3%

The yield to maturity (YTM) of a bond is the effective annual interest rate that an investor will receive if they hold the bond until maturity. It is calculated by taking into account the bond's coupon rate, the current market price, and the number of years until maturity.

In this case, the bond has a coupon rate of 8.8%, which means that it pays interest of 4.4% (8.8% / 2) per six months. The bond is currently selling for 112% of par value, which means that an investor would pay $1,120 for a bond with a face value of $1,000. The bond has 13 years remaining until maturity, which means that there are 26 six-month periods until maturity.

To calculate the YTM, we can use the following formula:

YTM = (C + (F - P) / n) / 2

Where:

Plugging in the values, we get:

YTM = (4.4% + (1,000 - 1,120) / 26) / 2

YTM = -2.3%

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The maturity value of the loan is $8246.65. Jessica will need to pay back this amount at the end of the 4 months.

Here, P = $8000, R = 9.25%/100 = 0.0925 (in decimal form), and T = 4 months = 4/12 years = 0.3333 years.

Substituting these values into the formula, we find:

I = $8000 * 0.0925 * 0.3333 ≈ $246.65

So, Jessica must pay about $246.65 in interest.

The maturity value of the loan is the principal plus the interest. So, the maturity value (MV) is given by:

MV = P + I

MV = $8000 + $246.65 = $8246.65

So, the maturity value of the loan is $8246.65. Jessica will need to pay back this amount at the end of the 4 months.

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Answer:

x = 9

Step-by-step explanation:

To solve the equation 2x - 7 + 3x = 4x + 2 for x, you can follow these steps:

Combine like terms on both sides of the equation. Add the x terms together and move the constant terms to one side of the equation:

2x + 3x - 4x = 2 + 7

Simplifying the left side: x = 9

Simplify the right side of the equation:

x = 9

Therefore, the solution to the equation is x = 9.

Answer:

5

Step-by-step explanation:

From the given division, the remainder is 0 and the quotient is 5.

Given that, 200 divided by 40.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here, 200/40

40)200(5

    200

_______

     0

So, remainder = 0 and quotient = 5

Therefore, from the given division, the remainder is 0 and the quotient is 5.

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Answer:

1) 30 pounds is the weight of the bag all together

2) science book is the heaviest book

Step-by-step explanation:

bag=4 pounds

library book=2 pounds

maths book=2×4=8 pounds

science book=8×2=16 pounds

4+2+8+16=30 pounds all together

heaviest book= science book (16 pounds)

The possible combinations of 1 photo from Vancouver, 1 photo from Buffalo, and 1 photo from Miami could she choose from for the cover of her scrapbook is option c  1,008.

To find the number of possible combinations for the cover of Scarlet's scrapbook, you can simply multiply the number of photos from each trip together.

So, there are 8 photos from Vancouver, 9 photos from Buffalo, and 14 photos from Miami. Multiply these numbers together to get the total number of combinations:

8 (Vancouver) × 9 (Buffalo) × 14 (Miami) = 1,008 possible combinations.

Scarlet has a range of choices for each city, and by considering the possibilities at each step and multiplying them together, we determine the total number of combinations. The multiplication principle is a fundamental concept in combinatorics, allowing us to calculate the number of outcomes for independent events.Therefore, the correct answer is C. 1,008.

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The surface area of the triangular prism would be =324,000cm²

To calculate the surface area of the triangular prism the formula that should be given would be as follows:

Surface area of triangular prism;

Surface area of triangular prism;= bh+(b1+b2+b3)l

where:

base length = 20cm

height = 15cm

length = 18cm

SA = 20×15(20+15+25)×18

= 300×60×18

= 324,000cm²

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⇒ 32% of the people who prefer French fries also prefer pizza

⇒ 60% of the people surveyed prefer burgers, and 40% prefer pizza.

To find out what percentage of people who prefer French fries also prefer pizza,

According to the given information.

60% of the people surveyed prefer burgers over pizza, and of those people, 48 prefer french fries over salad.

This means that 40% of the people surveyed prefer pizza over burgers.

Now, we have to find out what percentage of the people who prefer French fries also prefer pizza.

We know that 48 people prefer French fries over salad,

But we don't know how many of those people prefer burgers or pizza. However, we do know that all of the people surveyed fall into one of these categories:

They either prefer pizza or burgers.

Therefore,

Assume that the remaining 52% of the people surveyed prefer burgers over pizza.

To find the percentage of people who prefer French fries and pizza,

Use a proportion:

⇒ 48 / (40% of 75) = x / 100%

Solving for x, we get:

⇒ x = (48 / (40% of 75 ) x 100%

      = 32%

Therefore,

32% of the people who prefer French fries also prefer pizza.

To find out what percentage of people prefer pizza,

We know that 40% of the people surveyed prefer pizza over burgers, and we know that 28 of the people who prefer pizza also prefer salad.

To find the percentage of people who prefer pizza,

Use a proportion:

⇒ (40% of 75) = y / 100%

Solving for y, we get:

⇒ y = (40% of 75) x 100% = 30

Therefore,

30 people prefer pizza.

To find the percentage of people who prefer pizza, we can use another proportion:

⇒ 30 = (100% - z) / 100% x 75

Solving for z, we get:

z = 60%

Therefore, 60% of the people surveyed prefer burgers, and 40% prefer pizza.

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The first four terms of the geometric sequence with a1 = 3 and r = 2 are:

3, 6, 12, 24.

In a geometric sequence, each term is obtained by multiplying the previous term by a common ratio. Given that a1 (the first term) is 3 and the common ratio (r) is 2, we can find the first four terms of the sequence.

The general formula for the nth term of a geometric sequence is given by: an = a1 * , where an represents the nth term.

Let's calculate the first four terms using this formula:

For n = 1:

a1 = 3 * 2^(1-1) = 3 * [tex]2^0[/tex] = 3 * 1 = 3

For n = 2:

a2 = 3 * 2^(2-1) = 3 * [tex]2^1[/tex] = 3 * 2 = 6For n = 3:

a3 = 3 * 2^(3-1) = 3 *[tex]2^2[/tex] = 3 * 4 = 12

For n = 4:

a4 = 3 * 2^(4-1) = 3 * [tex]2^3[/tex] = 3 * 8 = 24

Therefore, the first four terms of the geometric sequence with a1 = 3 and r = 2 are:

3, 6, 12, 24.

These are the correct values for the terms of the sequence. By understanding the concept of a geometric sequence and using the formula correctly, you can confidently determine the first four terms and succeed in your studies.

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Answer:

The answer is 73.5

Explanation: (96+51)/2

The percentage change in Alphabet's annual revenue from 2011 to 2018 was 261%.

The percentage change can be determined by computing the change (difference) in revenue between 2011 and 2018.

The result is divided by the 2011 revenue and multiplied by 100 to express the resulting quotient in percentages.

Alphabet's annual revenue in 2011 = $37,905 million

Alphabet's annual revenue in 2018 = $136,819 million

The increase in revenue = $98,914 ($136,819 - $37,905) million

Percentage change (increase) in revenue = 260.95% ($98,914 ÷ $37,905 x 100)

= 261%

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The expressions that are squares of linear expressions:

(a²/x + 5)² and  (3m + 2) (3m +2).

Here, we have,

given that,

the expressions are:

x² + 5x + 25

(a²/x + 5)²

(3m + 2) (3m +2)

d²8d + 16

x² +81

16x² - 64

now, we have to Select ALL expressions that are squares of linear expressions:

here, we get,

(a²/x + 5)² is a expression that is square of linear expression

(3m + 2) (3m +2) =  (3m + 2)² is a expression that is square of linear expression.

Hence, The expressions that are squares of linear expressions:

(a²/x + 5)² and  (3m + 2) (3m +2).

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The number of kilograms which Darcy put in each container is equal to 0.8 kilogram.

In Mathematics, the unit rate is sometimes referred to as unit ratio and it can be defined as the quantity of material that is equivalent to a single unit of product or quantity.

In order to determine the unit rate, we would use the following mathematical equation (formula);

Unit rate = Number of kilograms of peanuts/Number of containers

Unit rate = 4/5

Unit rate = 0.8 kilogram.

In conclusion, we can reasonably infer and logically deduce that Darcy put 0.8 kilogram in each of the five containers.

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Then 62.5% of the campers at the Wild Outdoors camp this morning will be horseback riding

To find the percentage of campers that will be horseback riding, we need to first add the ratio together to get the total number of parts. In this case, the ratio of horseback riding to canoeing is 5:3, so there are 5 + 3 = 8 parts in total.

To find the percentage of campers that will be horseback riding, we divide the number of parts for horseback riding by the total number of parts, then multiply by 100 to get the percentage.

So, 5 parts out of 8 parts are for horseback riding. This is equivalent to 5/8 or 0.625 as a decimal. To find the percentage, we multiply by 100, which gives us 62.5%.

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Crowbar: Effort, MA, VR, Efficiency

User

A crow bar of length 1m is pivoted about 20cm from the tip and a load if 400N is lifted by applying an effort at the other end. Calculate the effort, MA, VR and efficiency.

ChatGPT

To calculate the effort, mechanical advantage (MA), velocity ratio (VR), and efficiency of the crowbar system, we need to use the principles of levers.

Given:

Length of the crowbar (L) = 1 m

Distance from the pivot to the load (d₁) = 20 cm = 0.2 m

Load (W) = 400 N

Effort (E) can be calculated using the equation:

E × MA = W × VR

Calculating Effort:

Let's consider the distance from the pivot to the effort (d₂). Since the crowbar is a rigid object, the sum of the moments on both sides of the pivot should be zero.

(E) × (d₂) = (W) × (d₁)

E × (d₂) = W × (d₁)

E × (d₂) = 400 N × 0.2 m

E × (d₂) = 80 N·m

Since we are given the length of the crowbar (L) = 1 m, we can substitute d₂ = L - d₁.

E × (L - d₁) = 80 N·m

E × (1 m - 0.2 m) = 80 N·m

E × 0.8 m = 80 N·m

E = 80 N·m / 0.8 m

E = 100 N

Therefore, the effort required to lift the load is 100 N.

Calculating Mechanical Advantage (MA):

MA = (L - d₁) / d₁

MA = (1 m - 0.2 m) / 0.2 m

MA = 4

The mechanical advantage of the crowbar system is 4.

Calculating Velocity Ratio (VR):

VR = L / d₁

VR = 1 m / 0.2 m

VR = 5

The velocity ratio of the crowbar system is 5.

Calculating Efficiency:

Efficiency (η) = (MA / VR) × 100

η = (4 / 5) × 100

η = 80%

The efficiency of the crowbar system is 80%.

To summarize:

Effort (E) = 100 N

Mechanical Advantage (MA) = 4

Velocity Ratio (VR) = 5

Efficiency (η) = 80%

User

the phsican orders 15mg of tramadol (liq). On hand is 30mg/2ml vials. how many ml will the MA administer

ChatGPT

To calculate the amount of liquid tramadol the physician will administer, we need to determine the volume (in milliliters) of the medication.

Given:

Ordered dose of tramadol = 15 mg

Concentration of tramadol in vials = 30 mg/2 ml

To find out the required volume, we can set up a proportion:

(30 mg / 2 ml) = (15 mg / x ml)

Cross-multiplying, we have:

30 mg * x ml = 15 mg * 2 ml

30x = 30

Dividing both sides by 30:

x = 1

The required volume of liquid tramadol to administer the ordered dose of 15 mg will be 1 ml.

Therefore, the physician will administer 1 ml of tramadol.

Answer:

the MA will administer 1 ml of tramadol liquid.

Step-by-step explanation:

Answer:

Step-by-step explanation:

To calculate the future purchasing power of $50 over a period of 10 years with the consideration of average inflation, we need to know the average inflation rate. Since you haven't provided the specific inflation rate, let's assume an average inflation rate of 2% per year.

To calculate the future value of $50, we can use the formula for compound interest:

Future Value = Present Value * (1 + Inflation Rate)^Number of Years

Using this formula, we can calculate the future value of $50 after 10 years:

Future Value = $50 * (1 + 0.02)^10

Future Value = $50 * (1.02)^10

Future Value ≈ $50 * 1.2184

Future Value ≈ $60.92

Therefore, if Kendra hadn't found the money for another 10 years, with an average inflation rate of 2% per year, the purchasing power of $50 would be approximately $60.92.

The numeric values for each expressions are given as follows:

From the graph of function f(x), the numeric values are given as follows:

From the graph of function g(x), the numeric values are given as follows:

Hence the numeric values are found replacing the values on the expressions as follows:

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Answer:

The length of each shoelace = 38.3 cm

Step-by-step explanation:

536.2 ÷ 14 = 38.3

An example of a negative linear equation is y = -2x + 6.

A negative linear equation is an equation of the form ax + b = 0, where a and b are constants and a is a negative number.

A negative linear equation would be written as:

y = -2x + 6

This equation shows a linear relationship between y and x in the form of a straight line. The slope of the line is negative which can be seen by the "-2" coefficient of the x term. The y-intercept of the line is 6, which is found by setting x=0 and solving for y. This means that the line crosses the y-axis at y=6.

Therefore, an example of a negative linear equation is y = -2x + 6.

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This equation represents the line Perpendicular to 4x + 7y = 4, with the same y-intercept as 9x - 7y = -2.

The equation of a line perpendicular to another line, we need to determine the slope of the given line and then find the negative reciprocal of that slope.

the slope of the line 4x + 7y = 4. We can rewrite this equation in slope-intercept form (y = mx + b) by isolating y:

4x + 7y = 4

7y = -4x + 4

y = (-4/7)x + 4/7

From this equation, we can observe that the slope of the given line is -4/7.

The line perpendicular to this line will have a slope that is the negative reciprocal of -4/7. The negative reciprocal of a number is obtained by flipping the fraction and changing the sign. Therefore, the slope of the perpendicular line will be 7/4.

Now, we are given that the perpendicular line has the same y-intercept as the line 9x - 7y = -2. To find the y-intercept, we can set x = 0 and solve for y:

9(0) - 7y = -2

-7y = -2

y = 2/7

Therefore, the y-intercept of the perpendicular line is 2/7.

We now have the slope (7/4) and the y-intercept (2/7) of the perpendicular line. Using the slope-intercept form (y = mx + b), we can write the equation of the perpendicular line as:

y = (7/4)x + 2/7

This equation represents the line perpendicular to 4x + 7y = 4, with the same y-intercept as 9x - 7y = -2.

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The probability of rolling a 3 is: Probability = 1/6. Option D

To determine the probability of rolling a 3 on a fair, six-sided die, we need to consider the total number of possible outcomes and the number of favorable outcomes.

A fair, six-sided die has six faces, numbered from 1 to 6. Each face has an equal chance of appearing when the die is rolled.

In this case, there is only one face with the number 3, so there is only one favorable outcome for rolling a 3.

The total number of possible outcomes when rolling the die is six, corresponding to the numbers 1 to 6 on the faces.

Therefore, the probability of rolling a 3 can be calculated as:

Probability = Number of favorable outcomes / Total number of possible outcomes

In this case, the number of favorable outcomes is 1 (rolling a 3), and the total number of possible outcomes is 6.

Thus, the probability of rolling a 3 is:

Probability = 1/6. Option D is correct.

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The revenues received by businesses = $140 billion

In case families get $76 billion in compensation, $18 billion in the lease, and $28 billion in intrigued, the entire sum paid to families for giving entrepreneurial capacity can be calculated by subtracting the sum of compensation, lease, and intrigued from the full sum paid for assets.

Total paid for entrepreneurial ability = Total paid for resources - (Wages + Rent + Interest)

Total paid for entrepreneurial ability = $140 billion - ($76 billion + $18 billion + $28 billion)

Total paid for entrepreneurial ability = $140 billion - $122 billion

Total paid for entrepreneurial ability = $18 billion

Within the item showcase, family units spend $75 billion on merchandise and $65 billion on administration. The revenues received by businesses within the item showcase can be calculated by including the consumptions on merchandise and administrations.

Revenues received by businesses = Expenditure on goods + Expenditure on services

Revenues received by businesses = $75 billion + $65 billion

Revenues received by businesses = $140 billion

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The expression that is not equivalent to AC is:

c) BC / tan 20°

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

To find the expression which not equivalent to AC, we have to know which expressions are equivalent to AC.

∠C = 180 - 160 = 20° (sum of angles on a straight line)

∠B = 70°

Using trig. ratios, let's find the expressions that are equivalent to AC:

sin 70° = AC / BC

AC = BC sin 70°

tan 70° = AC / BA

AC = BA tan 70°

cos 20° = AC/BC

AC = BC cos 20°

tan 20° = BA /AC

AC = BA / tan 20°

Therefore, BC / tan 20° is the expression that is not equivalent to AC.

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Answer:

circle ove;l

Step-by-step explanation: