How much water should be added to 14 mL of 14% alcohol solution to reduce the concentration to 7%?

Answer:

1% of $500 = $5

Total Saving from $500 to $ 860

[tex] = \frac{860}{5} = 172 \\ [/tex]

Now percentage of growth :-

[tex] \frac{172}{500} \times 100 \\ \\ \frac{17200}{500 } = 34.4[/tex]

Hence, the rate of change Sergio savings = 34.4%

Answer:

Repeating

Step-by-step explanation:

A Tessellation is when you cover a surface with a pattern of flat shapes, so there are no gaps. So, the answer is Repeating.

The minimum number of minutes that Lydia still needs to practice is 105 minutes to meet her coach's requirement.

To find the minimum number of minutes that Lydia still needs to practice, we first need to solve the inequality:

3.75 + h ≥ 5.5

Subtracting 3.75 from both sides, we get:

h ≥ 1.75

This means that Lydia still needs to practice for at least 1.75 hours to meet her coach's requirement of practicing for at least 5.5 hours per week.

To find the minimum number of minutes, we can multiply 1.75 by 60, since there are 60 minutes in an hour:

1.75 × 60 = 105 minutes

So, Lydia still needs minimum 105 minutes to practice.

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Answer:We use the formula for exponential growth:P = Po exp(kt)Using the population data from 1993 to 1996, we can solve for the growth rate k76 = 72 exp(k(3))76/72 = exp(3k)ln (76/72) = 3kk = ln(76/72) / 3 = 0.0180In 10 years (2003), the population will be:P = Po exp(0.0180t)P = 72 exp(0.0180(10))P = 86.22 million

Step-by-step explanation:

The equations that are parallel to the given line are C. 6x + 2y = -4 and D. 6x - 2y = -4.

What is the slope-intercept form?

The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.

Two lines are parallel if they have the same slope. The given line y = 3x - 5 is in slope-intercept form, which means its slope is 3.

A line in slope-intercept form has the equation y = mx + b, where m is the slope and b is the y-intercept. Therefore, any line of the form y = 3x + c, where c is a constant, will have a slope of 3 and be parallel to the given line.

Let's check each of the given equations to see which ones are of this form:

A. y = 3x - 7: This equation has the same slope as the given line, but it is not in the form y = 3x + c. Therefore, it is not parallel to the given line.

B. y = -3x - 5: This equation has a slope of -3, which is not the same as the slope of the given line. Therefore, it is not parallel to the given line.

C. 6x + 2y = -4: We can rearrange this equation to slope-intercept form by solving for y:

2y = -6x - 4

y = -3x - 2

This equation has the same slope as the given line, so it is parallel to the given line.

D. 6x - 2y = -4: We can rearrange this equation to slope-intercept form by solving for y:

-2y = -6x - 4

y = 3x + 2

This equation has the same slope as the given line, so it is also parallel to the given line.

Therefore, the equations that are parallel to the given line are C. 6x + 2y = -4 and D. 6x - 2y = -4.

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The conversion of the physical quantities 183cm in length to equivalent mass in pounds is 5.435* 10²⁷ lbs.

What is a physical quantity?

A physical quantity is a property of a substance or system that can be measured and quantified. A value, created by multiplying a numerical value by a unit in algebra, can be used to express a physical amount. Every physical characteristic of a substance or system that can be quantified, or measured in numerical terms, is referred to as a physical quantity in physics. Time, length, mass, electric current, thermodynamic temperature, amount of substance, and luminous intensity are the seven base quantities that make up the current SI.

Centimetres(cm) is the unit of length and pounds(lbs) is the unit of mass.

They are physical quantities of a substance.

Both mass and length are not equal to each other but these physical quantities are proportional to each other.

Here we are asked to convert 183cm to lbs.

We know the force between two bodies M and M' is

The ratio of gravitational constant G and the speed of light c can be used as a conversion factor for length to mass.

G/c² = 7.424 * 10⁻²⁸  m/kg

183 cm = 1.83m = 1.83 m / 7.424 * 10⁻²⁸  m/kg = 2.465 * 10²⁷kg

1kg = 2.205 lbs

2.465 * 10²⁷kg * 2.205 = 5.435* 10²⁷ lbs

Therefore the conversion of the physical quantities 183cm in length to equivalent mass in pounds is 5.435* 10²⁷ lbs.

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Using the substitution to solve the following system of equations, 4x+2y=36

y=2x-2 we get value of x as 5 and y is equal to 8.

There are two methods for solving simultaneous linear equations: graphical methods and algebraic methods. The algebraic technique includes the substitution method as one of its categories.

We have two equations as,

4x+2y=36

y=2x-2

Substituting the value of y = 2x - 2 in the equation 1 we get,

4x + 2(2x - 2) = 36

4x + 4x - 4 = 36

8x = 36 + 4

8x = 40

x = 5

And y = 2 x 5 - 2 = 8

Therefore, the value of x is 5 and y is 8.

The algebraic approach for solving simultaneous linear equations is the substitution method. The value of one variable from one equation is substituted in the second equation, as the name implies. In this manner, a pair of linear equations is reduced into a single linear equation with only one variable, which can then be solved quickly. Before beginning to solve linear equations using the substitution approach, learn about the algebraic and graphical methods.

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Answer:

4√3 or 6.9282Km

Step-by-step explanation:

Let the triangle be ABC, right angled at B

Angle A = 60 degrees

Angle C = 30 degrees

BC = 6 km

To find AB,

Tan30°=AB/BC

Now we know that tan30° is 1/√3 so,

1/√3 = AB / 6

6/√3 = AB

6√3/3 =AB

2√3 = AB

Now we have the value of two sides so we can use the Pythagoras Theorem to find the hypotenuse, which is g

AB² + BC² = AC²

(2√3)² + 6² = g²

12 + 36 = g²

48 = g²

Therefore g = √48km or 4√3km or 6.9282Km

5√3 is the measure of the value of x

The given diagram is a right triangle. We need to determine the measure of the side 'x'

Using the trigonometry identity:

tan 60 = x/5

x = 5 tan 60

Simplifying the result, we will have:

x = 5√3

Hence the value of x from the given triangle is 5√3

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The selling price of each unit of towel is $1500

Selling price is the price at which a product or service is sold to a customer or consumer. It is the amount that a customer pays for the product or service, which includes both the cost of the item and any markup or profit that the seller may add.

In the question given, the total sales of towels is given as $112,500

If they sale 75 towels, the cost of each towel is;

cost = 112500 / 75

cost = $1500

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If the long-term demand for oranges is the same as the short-term demand, a binding price ceiling will result in a shortage that is larger in long-run demand than the short-run demand. So the answers are shortage and larger.

A shortage occurs when there is a difference between the quantity that is supplied and the quantity that is required of a product, service, or resource. Surplus is a term used to describe situations where there is more supply than demand for a product, service, or resource.

So when the long-run demand is the same as the short-run demand, binding price ceilings typically result in a shortage when there is a lack of supply of products. And, the result will be larger in the case of the long run compared to the short run. Therefore, the first blank can be filled with shortage and the second blank with larger.

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$300 is expected to be paid to the insurance company each month for coverage.

Insurance is a means of protection from financial loss in which, in exchange for a fee, a party agrees to compensate another party in the event of a certain loss, damage, or injury. It is a form of risk management, primarily used to hedge against the risk of a contingent or uncertain loss.

here, we have,

Deductible is the set amount that one pays himself at the time of claiming insurance. Like here, if $500 is deductible, that means when the person will claim the insurance, he himself will pay $500 ,and the rest insured amount will be paid by the company.

So, here $300 is the monthly premium and $500 deductible is the one time set amount that does not have to be paid monthly.

Hence, $300 is the correct answer.

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Answer: 279.94

Step-by-step explanation:

Expected value =

(0.0002)(-100,000) + (0.9998) (300)

1-.0002 = 0.9998

= .279.94

The measurement that represents the height of the parallelogram is A. 3 m.

The height of a parallelogram is the perpendicular distance between its two parallel bases. It is the distance between the two parallel bases measured at a 90-degree angle.

To find the height of a parallelogram, draw a perpendicular line from one base to the other. The length of this line is the height of the parallelogram.

On the given image, the line that shows the perpendicular distance between its two parallel bases is 3 m so this is the height.

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The percent discount for a student ticket is C. 40%

Percent Discount is a kind of discount that is offered on a product or service in the form of an amount per hundred.

From the question, we have the following parameters that can be used in our computation:

Original price of the ticket = $50

Price of ticket on Monday = $35

Additional discount = $5

To determine the percentage discount, we make use of the following equation

Discount = 1 - (Price of ticket on Monday - Additional discount)/Original price of the ticket * 100%

Substitute the known values in the above equation, so, we have the following representation

Discount = 1 - (35 - 5)/50 * 100%

Evaluate

Discount = 40%

Hence, the percentage discount is 40%

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The required, fourth term of the geometric sequence is 64.

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
We can use the formula for the nth term of a geometric sequence to solve the problem. The nth term of a geometric sequence with first term a and common ratio r is given by:

[tex]an = ar^(n-1)[/tex]

In this case, the first term is 14 and the common ratio is 2. So the nth term is:

[tex]an = 14*2^{n-1}\\[/tex]

So

[tex]14(2^{n-1}) = 64\\2^{n-1} = 64/14 = 32/7[/tex]

To solve for n, we can take the logarithm of both sides of the equation. We can use any base for the logarithm, but it's usually convenient to use base 2 since the equation involves powers of 2. So

[tex]log_2(2^{n-1}) = log_2(32/7)\\(n-1) = log_2(32/7)\\n = log_2(32/7) + 1[/tex]

Using a calculator, we can approximate log_2(32/7) as 2.665. So:

n = 2.665 + 1

n ≈ 3.665

Since n must be a whole number (we're looking for a specific term of the sequence), we can round up to the nearest integer to get:

n = 4

Therefore, the fourth term of the sequence is 64.

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4 lbs is approximately equal to 1.8143 kg  ( rounded to four decimal places )

The conversion factor to convert lbs to kilogram is 0.453592

1 lbs = 0.453592 kg

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in kg = The mass in lbs × conversion factor

Substitute the values in the equation

1 lbs = 0.453592 kg

4 lbs = 4 × 0.453592

Multiply the numbers

= 1.8143 kg  ( rounded to four decimal places )

Therefore, 180lbs is 1.81437 kg

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Answer:0.67<1(top part)

3x - y < 1

3/3       1/3=0.33...

0.33..-y  < 1

-0.33=0     1-0.33..=0.67<1

i only know the top art sorry

Answer:

its 0.67

Step-by-step explanation:

Answer:

Focus on strategic measures.

Develop performance measurement skills.

Get board and CEO buy-in.

Track progress over time.

Measure often.

Step-by-step explanation:

It takes approximately 35.35 seconds to fill the glass 50%. Rounded to two decimal places, the answer is 35.35 seconds.

The volume of the cylindrical glass can be calculated as:

V = πr²h

where r is the radius (half of the diameter), h is the height, and π is the mathematical constant π (approximately 3.14).

Since the diameter is 3 inches, the radius is 1.5 inches. The height is 10 inches. Therefore, the volume of the glass is:

V = π(1.5)²(10) ≈ 70.69 cubic inches

To fill the glass 50%, we need half of the volume:

V/2 ≈ 35.35 cubic inches

The faucet dispenses water at a rate of 1 cubic inch per second, so the time it takes to fill the glass 50% is:

t = (V/2) / (1 cubic inch per second) ≈ 35.35 seconds

Therefore, it takes approximately 35.35 seconds to fill the glass 50%. Rounded to two decimal places, the answer is 35.35 seconds.

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Step-by-step explanation:

just keep in mind :

i = sqrt(-1)

that is all we need to know.

from there we know the forever repeating group of 4 "power of i" values :

i¹ = i

i² = sqrt(-1)² = -1

i³ = i²×i = -1×i = -i

i⁴ = i²×i² = -1×-1 = 1

and this repeats now over and over again with the following powers :

i⁵ = i⁴×i = 1×i = i

i⁶ = i⁴×i² = 1×-1 = -1

i⁷ = i⁴×i³ = 1×-i = -i

i⁸ = i⁴×i⁴ = 1×1 = 1

and so on and so on ...

so,

i⁸¹ = i⁸⁰×i = (i⁴)²⁰×i = 1²⁰×i = 1×i = i

i⁵² = (i⁴)¹³ = 1¹³ = 1

i⁹⁹ = i⁹⁶×i³ = (i⁴)²⁴×i³ = 1²⁴×-i = 1×-i = -i

i⁶⁶ = i⁶⁴×i² = (i⁴)¹⁶×i² = 1¹⁶×-1 = 1×-1 = -1

for such questions always look for the modulo (remainder) result when dividing the exponent by 4. and then use the first list or table above.

Answer: 1i think 13213123123121232

Step-by-step explanation:first go home eat sleeo theyn wake up

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There are 364 days in 52 weeks.

A day is an approximate time it takes for the Earth to complete one spin.

It is defined as exactly 86,400 seconds.

In one week there are 7 days.

There are 52 weeks in a year.

To find out how many days in 52 weeks,

To get the number of days in a given week we have to multiply weeks by the days in a week.

As we know that, 7 days means a one week,

We can calculate the number of days in 52 weeks by multiplying 52 weeks by 7 days:

52 x 7  = 364 days

Therefore, there are 364 days in 52 weeks.

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Option C is the correct answer, as it states that the difference between 3 1 4 and 1 2 3 is 1 7 12The question is asking if Emily has 123 more cups of flour than sugar.

To check if this is true, we can subtract the amount of sugar from the amount of flour, and see if the difference is equal to 123.

Emily uses 1 2 3 cups of sugar and 3 1 4 cups of flour.

Therefore, the difference between the amount of flour and the amount of sugar is:

3 1 4 − 1 2 3 = 12/4 + 3/4 - 3/12 = 9/12 + 9/12 - 1/12 = 17/12

The difference between the amount of flour and the amount of sugar is 17/12, not 123. Therefore, we cannot agree with Emily's statement that she has 123 more cups of flour than sugar.

Option C is the correct answer, as it states that the difference between 3 1 4 and 1 2 3 is 1 7 12, which is the same as our calculation above. Options A and B are incorrect because they give incorrect values for the difference. Option D is incorrect because it gives the sum of the two quantities, not the difference.

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Answer:

its c. all credits go to the girl/boy up there.

Step-by-step explanation:

Answer:

The angles are 178.1° and 1.9°

Step-by-step explanation:

Supplementary angles add up to 180°
Let the angles be x and y with x being the larger angle

x = 176.2 + y
x - y = 176.2         (1)

Since they add up to 180 we also get
x + y = 180           (2)

Equations added: (1) + (2)

x - y + x + y = 176.2 + 180

2x = 356.2

x =  356.2/2 = 178.1°

y = 180 - 178.1 = 1.9°

Answer:

John went grocery shopping over the weekend and used algebra to find the best deals. He compared the unit price of similar products to determine which one was the most cost-effective. Later that day, John practiced basketball with his friends, and he used algebra to track his progress. He calculated his shooting percentage by dividing the number of shots he made by the total number of shots he attempted, giving him insight into how he was improving over time. Finally, John cooked dinner and used algebra to adjust the recipe. He needed to make a meal for eight people, but the recipe was only for four, so he had to double the quantities of ingredients while keeping the ratios the same. By using algebra, he was able to create a delicious meal that was the right size for his gathering.

There are 28 dozens of eggs.

The number of dozens of eggs is obtained applying the proportions in the context of the problem.

Each dozen is composed by 12 eggs, hence the number of dozens in n eggs is obtained dividing n by 12.

Then the number of dozens in 336 eggs is obtained as follows:

336/12 = 28 dozens of eggs.

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The solution to the system of linear equation by substitution method is as follows :  x = 1 and y = -3

6x − 9 = y

y = −3x

let's substitute the value of y in the first equation as follows;

6x - 9 = -3x

add -3x to both sides of the equation

6x + 3x - 9 = -3x + 3x

9x - 9 = 0

add 9 to both sides of the equation

9x - 9 + 9 = 0 + 9

9x = 9

divide both sides by 9

x = 9 / 9

x = 1

let's find y by substituting the value of x in the second equation

y = -3x

y = -3(1)

y = -3

Therefore, x = 1 and y = -3

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