PLS SOLVE 5 MINUTES MAXIMUM I HAVE LIMETED TIME (8.15 times 4 divided by 5) times 3.2

Answer:

The length of each shoelace = 38.3 cm

Step-by-step explanation:

536.2 ÷ 14 = 38.3

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:

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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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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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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The measurement closest to the value of x is 4.8 units.

To find the length of side EF (denoted as x), we can use the trigonometric function tangent (tan). Since we know the angle EDF is 20 degrees and the adjacent side DE is 14 units, we can use the formula:

tan(∠EDF) = opposite/adjacent

tan(20°) = EF/DE

We can rearrange the equation to solve for EF (x):

0EF = DE * tan(∠EDF)

EF = 14 * tan(20°)

Using a calculator to evaluate the tangent of 20 degrees, we find:

EF ≈ 4.809 units

Among the given options, the measurement closest to the value of x is 4.8 units. 4.8 is the closest value.

To further verify this, we can also evaluate the other options:

5.1 units: This is greater than the calculated value of 4.809 units.

13.2 units: This is significantly larger than the calculated value and does

not match the given information.

14.9 units: This is even larger than the length of side DE, which is not possible in a right triangle.

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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 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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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:

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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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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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 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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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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⇒ 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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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:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

also the rule of exponents/ radicals

[tex]\sqrt[n]{a^{m} }[/tex] = [tex]a^{\frac{m}{n} }[/tex]

let

[tex]log_{5}[/tex][tex]\sqrt[4]{5}[/tex] = n , then

[tex]\sqrt[4]{5}[/tex] = [tex]5^{n}[/tex] , that is

[tex]5^{\frac{1}{4} }[/tex] = [tex]5^{n}[/tex]

since bases on both sides are the same, both 5 , then equate the exponents

n = [tex]\frac{1}{4}[/tex] ( = 0.25 )

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 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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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:

The answer is 73.5

Explanation: (96+51)/2

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:

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 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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In mathematics, the term "difference" is commonly associated with subtraction. Subtraction is an arithmetic operation that involves finding the difference between two numbers or quantities.

When we subtract one number from another, we are essentially finding the difference between them. The result of a subtraction operation is called the difference. For example, in the expression 10 - 5, the difference is 5, indicating that the number 5 is the result of subtracting 5 from 10.

Subtraction is denoted by the minus sign "-" or by using the word "minus" or "subtract" in mathematical expressions. For instance, in the equation 8 - 3, we are subtracting 3 from 8 to find the difference.

The concept of difference is fundamental in various mathematical applications. It allows us to compare quantities, measure distances, determine changes, and solve various problems. For instance, when analyzing data sets, we often calculate the differences between values to understand patterns, trends, or changes over time.

The difference between two numbers can be positive, negative, or zero. If the minuend (the number from which subtraction is performed) is greater than the subtrahend (the number being subtracted), the difference is positive. If the subtrahend is greater, the difference is negative. When both numbers are equal, the difference is zero.

For example, in the subtraction 7 - 3, the difference is 4. In the subtraction 5 - 9, the difference is -4. And in the subtraction 6 - 6, the difference is 0.

Overall, the concept of difference is a crucial aspect of subtraction, providing a measure of the numerical distance between two quantities. It allows us to express the result of a subtraction operation and plays a significant role in various mathematical calculations and analyses.

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Answer:

circle ove;l

Step-by-step explanation:

The value of the green box is 0.

To solve the equation[tex]{3x-6} +{ x-2}= \frac{3x-6 + x - 2}{1} = 180$[/tex], we first simplify the left side of the equation:

[tex]{3x-6}{x-2} = \frac{(3x-6) + (x-2)}{x-2} = \frac{4x-8}{x-2}$$[/tex]

Now we can rewrite the original equation as:

[tex]\frac{4x-8}{x-2} = 180$$[/tex]

Next, we can multiply both sides of the equation by x-2 to eliminate the denominator:

[tex]$$(4x-8) = 180(x-2)$$[/tex]

Expanding the right side gives:

[tex]$$(4x-8) = 180x - 360$$[/tex]

Simplifying and moving all the terms to the left side gives:

[tex]$$176x - 352 = 0$$[/tex]

Adding 352 to both sides gives:

176x = 352

Finally, dividing both sides by 176 gives:

[tex]x = \frac{352}{176} = 2[/tex]

Therefore,  since there is no constant term on the left side of the equation after combining like terms.

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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