Write your answer as a whole number or decimal.The volume of a cylinder with a base of area B and a height h is Bh. Bryce is using a cylinder-shaped can to hold his pencils. The can has a 5.4-square-inch base and a height of 8 inches.

The length of the arc of the sector watered is 0.89π.

In the given question, a lawn sprinkler located at the corner of a yard rotates through 80 degrees and sprays water of 20 ft.

We have to find the length of the arc of the sector watered.

From the given question,

r = 20 ft, θ = 80 degree

A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends.

The formula for the length of the arc of the sector watered is

L = [tex]\frac{\theta}{360^{o}}\times 2\pi r[/tex]

Now putting the value

L = [tex]\frac{80^{o}}{360^{o}}\times 2\times\pi \times20[/tex]

Now simplifying the length

L = [tex]\frac{320^{o}}{360^{o}}\pi[/tex]

L = 0.89π

Hence, the length of the arc of the sector watered is 0.89π.

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We can create a total number of 10 prime numbers from the set {1, 3, 6, 7}.

Given that,

The number is either 1-digit or 2-digit.

In the case of 1-digit, the only 1-digit primes are 3 and 7, for a total of 2 primes.

In the case of 2-digit, We have the following combinations of numbers: 13, 16, 17, 36, 37, 67, 76, 73, 63, 71, 61, 31. Out of these 12 numbers, it is easier to count the composites: 16, 36, 76, and 63 for a total of 4 composites, which we subtract from the original 12 numbers to yield 12-4=8 prime numbers.

Thus, We can create a total number of 10 prime numbers from the set {1, 3, 6, 7}.

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The negative exponents in the denominator change it into positive exponents are 1/(2⁻³) = 8, 1/(2x⁻³) = (1/2)x³  and 4/(2(3⁻³)) = (4/2)×3³ = 54

If you have a fraction with a negative exponent in the denominator, you can change it into a positive exponent by reversing the fraction and taking the reciprocal.

For example, if you have the fraction 1/(x⁻²) you can change it to x² by flipping the fraction and taking reciprocal: 1/(x⁻²) = 1/(1/x²) = x²

Note that when you have a negative exponent in the denominator, it means that the variable is in the denominator and the reciprocal can be taken to move the variable to the numerator, as shown above.

Thus, we can solve the given questions as follow:

1/(2⁻³) = 2³ = 8

1/(2x⁻³) = (1/2)x³

4/(2(3⁻³)) = (4/2)×3³ = (2)×3³ = 2 × 27 = 54

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Answer:

[tex]\textsf{1)} \quad 10000(1.06)^t[/tex]

2)   €17,908.48

3)  0.5%

4)  120

[tex]\textsf{5)} \quad 10000(1.005)^{120}[/tex]

6)  €18,193.97

7)  More money.

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ A=P\left(1+r\right)^{t}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]

Given:

Substitute the given values into the compound interest formula to write an expression that describes the given scenario over t years:

[tex]\implies A=10000(1+0.06)^t[/tex]

[tex]\implies A=10000(1.06)^t[/tex]

To calculate how much money will be in the fund after 10 years, substitute t = 10 into the equation from question 1:

[tex]\implies A=10000(1.06)^{10}[/tex]

[tex]\implies A=10000(1.79084769...)[/tex]

[tex]\implies A=17908.4769...[/tex]

Therefore, there will be €17,908.48 in the emergency fund after 10 years.

If the annual rate is 6%, the monthly interest rate is the annual rate divided by 12 (since there are 12 months in a year):

[tex]\implies \dfrac{6\%}{12}=0.5\%[/tex]

Given that are 10 years in the scenario, the exponent will be the number of months in 10 years:

[tex]\implies 10 \times 12 = 120[/tex]

0.5% = 0.005

Therefore, the complete expression that describes the scenario, given an annual interest rate of 6% that compounds monthly over 10 years is:

[tex]\implies 10000(1 + 0.005)^{120}[/tex]

[tex]\implies 10000(1.005)^{120}[/tex]

To calculate how much money will be in the emergency fund after 10 years if the interest compounds monthly, calculate the expression from question 5:

[tex]\implies 10000(1.005)^{120}[/tex]

[tex]\implies 10000(1.81939673...)[/tex]

[tex]\implies 18193.9673...[/tex]

Therefore, there will be €18,193.97 in the emergency fund after 10 years.

Amount in fund when compounded annually = €17,908.48

Amount in fund when compounded monthly = €18,193.97

Therefore, there is more money in the emergency fund when it is compounded monthly as the compounding frequency is greater (interest is earned on both the principal and the interest, so the more frequent the compounding periods are, the more interest is earned).

The general rule about compounding in exponential functions is the higher the number of compounding periods, the greater the amount of compound interest.  

In terms of compounding interest in investment:

Answer:

50%

1 2 = 1 × 50 2 × 50 = 50 100 . . So the answer is 50%.

please mark me as a brainalist

On solving the provided question, we can say that by equation 15+4 = total minutes, they can talk 19 minute

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

x= total minutes -4    the 1st 4 minutes are included in the .30

total cost = .3 + .18 x  

[tex]3 = .3 +.18 x\\2.7 = .18x\\2.7/.18 = x\\15 = x[/tex]

x = total minutes -4

15+4 = total minutes

they can talk 19 minute

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Answer:

567 minutes each month.

Step-by-step explanation:

Let x be the number of minutes of talk time used each month.

The cost for talk time beyond 500 minutes is $0.08 * (x - 500)

The cost for email is $27.70 * 0.3 = $8.31

The total monthly cost is $27.70 + $0.08 * (x - 500) + $8.31 = $35.99

The total cost for 9 months is $35.99 * 9 = $323.91

So we can set up the equation:

$27.70 + $0.08 * (x - 500) + $8.31 * 9 = $367.29

Solving for x, we get:

x = 567

So the number of minutes of talk time used each month is 567 minutes.

The equation that represent the relationship between pounds of garbage y and of days x is y = 4.5x

Direct variation describes a simple relationship between two variables . We say y varies directly with x , then y=kx. for some constant k , called the constant of variation or constant of proportionality .

From the graph when y = 4.5 , x = 1 and when y = 9 , x = 2. we can take any of these values to find K

y = kx

9 = 2k

therefore K = 9/2 = 4.5

representing K for 4.5 in y = kx

then, y = 4.5x

therefore the equation of the relationship between y and x is y = 4.5x

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The equation of the line that passes through (3, 19) and (9, 25) will be y = x + 16.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The points are given below.

(3, 19) and (9, 25)

The equation of the line that passes through (3, 19) and (9, 25) will be given as,

(y - 25) = [(25 - 19) / (9 - 3)](x - 9)

y - 25 = (6/6)(x - 9)

y - 25 = x - 9

y = x - 9 + 25

y = x + 16

The equation of the line that passes through (3, 19) and (9, 25) will be y = x + 16.

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Answer:

To solve this problem, we will use the following steps:

Step 1: Convert the amount of roast beef used in each sandwich to a decimal by dividing the numerator by the denominator: 3/8 pound = 0.375 pound

Step 2: Subtract the amount of roast beef that Marisa has left from the amount of roast beef that she started with to find the amount of roast beef used: 5 - 2.75 = 2.25 pounds

Step 3: Divide the amount of roast beef used by the amount of roast beef used in each sandwich: 2.25 pounds / 0.375 pounds = 6

Final Answer: Marisa made 6 deli sandwiches.

The statistic that would not change if 50 points were added to each score in the SAT tests is the Standard Deviation.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the deviation of each data point from the mean, the standard deviation may be determined as the square root of variance.

The bigger the deviation within the data collection, the further the data points deviate from the mean; hence, the higher the standard deviation, the more dispersed the data.

Since they are used to determine standard deviation, sample size, mean, and data values all have an impact on standard deviation. By removing outliers, the sample size, mean, and standard deviation may all change.

Because 50 points was added to each score, they are still the same distance from each other which means the standard deviation will not change.

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Answer:

(5, 0)

Step-by-step explanation:

The slope of the first line is -(-1 / 1) = 1.

The slope of the second line is -(3 / 5) = -3/5.

Since the lines have different slopes, they intersect at a single point. Therefore, there is only one solution. To find it, solve the system of equations.

Using elimination, multiply the first equation by 3 and add it to the second.

-3x + 3y = -15

3x + 5y = 15

-------------------

8y = 0

y = 0

Using substitution, find x:

-x + 0 = -5

x = 5

The solution is (5, 0).

The first equation, 3^x = 12, is an exponential equation. To solve for x, we would take the logarithm of both sides with base 3:

x = log3(12)

The second equation, x^3 = 12, is a polynomial equation of degree 3. To solve for x, we would take the cube root of both sides:

x = ∛12

The similarity between these two equations is that both are equations with one variable and are looking for the value of that variable.

The main difference between these two equations is the type of function they represent. The first equation is an exponential function, represented by 3^x, while the second equation is a polynomial function, represented by x^3.

As a result, the methods used to solve these equations are also different. The first equation is solved by taking the logarithm of both sides and the second equation is solved by taking the cube root of both sides.

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Using probability the value of p + q = -0.4

Probability is the likelihood of an event.

Given the Venn diagram and that the probabilities are independent events.

The probability of A or B is given by

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Also, the probability of A and B is given by P(A ∩ B) = P(A)P(B)

So, we have that

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

P(A ∪ B) = P(A) + P(B) - P(A)P(B)

From the Venn diagram, we have that

P(A) = p + q

P(B) = q + 0.6

P(A ∩ B) = q

P(A ∪ B) = 0.2

So, substituting these into the equation, we have that

P(A ∪ B) = P(A) + P(B) - P(A)P(B)

0.2 = p + q + q + 0.6 -  q

0.2 = p + 2q - q + 0.6

0.2 - 0.6 = p + q

-0.4 = p + q

So, the value of p + q = -0.4

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El número natural 169 tiene como raíz cuadrada igual a 13.

Los números naturales comprenden a un conjunto discreto conformado por los números {1, 2, 3, 4, 5, ..., n, ...}, n ∈ N, donde N es el conjunto de los números naturales.

Los números naturales pueden ser números primos o números compuestos, los números compuestos pueden ser definidos como un producto de números primos. El número natural 169 es equivalente al siguiente producto de números primos:

169 = 13 × 13 = 13²

En consecuecia, la raíz cuadrada del número natural 169 es la siguiente: (nótese que la potencia al cuadrado es el opuesto a la raíz cuadrada)

x = √169

x = √(13²)

x = (13²)^(1 / 2)

x = 13

La raíz cuadrada del número natural 169 es igual a 13.

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A) y=-x+15
B)   y=-1/2x+10
D)  The graphs intersect at x=10,y=5 And spelling questions are 10 and vocabulary questions are 5.        

Step-by-step explanation:

Total number of question is 15,
So,
x+ y=15
y=-x+15

B) Total number of points possible is 100
5x +10y=100
x+2y=20
2y=-x+20
y=-1/2x+10

D) The graphs intersect at                  
x=10,y=5

So spelling questions are 10 and vocabulary questions are 5.  

According to the slope-intercept form, the slope-intercept form of the line is given by the equation y = mx + b, where m is the line's slope and (0,b) is its y-intercept. Ax + By = C is the method for a linear equation in standard form, where A, B, and C are real numbers.

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2,352,071.15 ft^3 is closest to the volume, in cubic feet, of the sphere .

What does sphere refer to?

The shape and symmetry of a sphere are both round. All of its surface points are equally spaced from the center, making it a three-dimensional solid. Depending on the radius, it has a surface area and a volume.

The volume of a sphere = 4/3 π r^3    where r is the radius.

Here the radius = 1/2 * 165 = 82.5 ft.

So the volume  = 4/3 π (82.5)^3

= 2,352,071.15 ft^3

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Converted (a) 2.2 kg = 77.6 oz, 4.83 lbm. (b) 12 lbf/in2 = 82.7 kPa, 620.6 mmHg. (c) 160 hp = 119,360 cal/s, 88,000 Btu/s. (d) 82 gallons = 328 quarts, 313,981.8 mL. (e) 34 in = 0.8636 m, 86.36 cm.

What is conversion factor ?

A conversion factor is a ratio of two equivalent measurements used to convert a quantity from one unit to another.

(a) To convert 2.2 kg to ounces, we can use the conversion factor 1 kg = 35.274 oz. So, 2.2 kg = 2.2 * 35.274 oz = 77.6 oz. To convert 2.2 kg to lbm, we can use the conversion factor 1 kg = 2.205 lbm. So, 2.2 kg = 2.2 * 2.205 lbm = 4.83 lbm.

(b) To convert 12 lbf/in2 to kPa, we can use the conversion factor 1 lbf/in2 = 6.894 kPa. So, 12 lbf/in2 = 12 * 6.894 kPa = 82.7 kPa. To convert 12 lbf/in2 to mmHg, we can use the conversion factor 1 lbf/in2 = 51.715 mmHg. So, 12 lbf/in2 = 12 * 51.715 mmHg = 620.6 mmHg.

(c) To convert 160 hp to cal/s, we can use the conversion factor 1 hp = 746 cal/s. So, 160 hp = 160 * 746 cal/s = 119,360 cal/s. To convert 160 hp to Btu/s, we can use the conversion factor 1 hp = 550 Btu/s. So, 160 hp = 160 * 550 Btu/s = 88,000 Btu/s.

(d) To convert 82 gallons to quarts, we can use the conversion factor 1 gallon = 4 quarts. So, 82 gallons = 82 * 4 quarts = 328 quarts. To convert 82 gallons to mL, we can use the conversion factor 1 gallon = 3785.4 mL. So, 82 gallons = 82 * 3785.4 mL = 313,981.8 mL

(e) To convert 34 in to m, we can use the conversion factor 1 in = 0.0254 m. So, 34 in = 34 * 0.0254 m = 0.8636 m. To convert 34 in to cm, we can use the conversion factor 1 in = 2.54 cm. So, 34 in = 34 * 2.54 cm = 86.36 cm.

Converted (a) 2.2 kg = 77.6 oz, 4.83 lbm. (b) 12 lbf/in2 = 82.7 kPa, 620.6 mmHg. (c) 160 hp = 119,360 cal/s, 88,000 Btu/s. (d) 82 gallons = 328 quarts, 313,981.8 mL. (e) 34 in = 0.8636 m, 86.36 cm.

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Answer:

a = 8

Step-by-step explanation:

The following inequalities will form a rectangle. Hence, the area of a rectangle is [tex]\displaystyle{A=\Delta x \cdot \Delta y}[/tex]

In this case, [tex]\Delta x[/tex] = 5-1 which is 4, and [tex]\Delta y[/tex] = a - 2. Substitute in:

[tex]\displaystyle{24 = 4\cdot (a-2)}[/tex]

Now solve the equation for a-term:

[tex]\displaystyle{24=4a-8}\\\\\displaystyle{24+8=4a}\\\\\displaystyle{32=4a}\\\\\displaystyle{8=a}[/tex]

Therefore, the value of a is 8 to make the region have an area of 24 square units.

Answer:

3(5/3c+p)

Step-by-step explanation:

5c+3p=3(5/3c+p)

Answer:

Step-by-step explanation:

(a) 10p = 3p - 5

7p = - 5

p = -5/7

(b) a^0 = 1 no matter what a is.

(c) 0.5 y²/x

(d) 5cd²(2c² + 3d²)

solving for a variable:

a)

[tex]10p=3p-5[/tex]

[tex]7p=-5[/tex]

[tex]p=\frac{-5}{7}[/tex]

b) A simple rule to follow is that any number raised to the exponent of 0 is equal to 1

[tex]a^0=1[/tex]

c)

[tex]\frac{xy^3}{2x^2y}[/tex]  cancelled out the common factor of 3

[tex]\frac{y^2}{2x}[/tex]             note that [tex]a^-^y=\frac{1}{a^y}[/tex]

d)

[tex]5cd^2(2c^2+3d^2)[/tex]

Answer: 5 4/7

Step-by-step explanation: First, we need to change both 1 5/7 and 3 1/4 into an improper fraction. So:

[tex]1 \frac{5}{7}[/tex] = [tex]\frac{12}{7}[/tex]

[tex]3\frac{1}{4}[/tex] = [tex]\frac{13}{4}[/tex]

So, now we need to cross-multiply 12/7 and 13/4.

That'd be 156/28

But wait. We analyze that 156 and 28 can be reduced by 4

So, 156 divided by 4 is 39, and 28 divided by 4 is 7. So now our improper fraction is 39/7. To make it an improper fraction, we divide 39 by 7, which would give us 5 4/7. I hope this helped!

Answer:  X or Y

Step-by-step explanation:

The expected value of y is (D.) 35.5.

The expected value of a discrete random variable is found by multiplying each value of the variable by its corresponding probability and then summing these products. In this case, the probability distribution of y is given in the table.

To find the expected value of y, we need to calculate the sum of the products of each value of y and its corresponding probability.

y * probability = y * P(y)

The expected value of y is E(y) = 100.10 + 200.25 + 300.05 + 400.30 + 500.20 + 600.10

= 2 + 5 + 1.5 + 12 + 10 + 6 = 37.

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Answer:

0.7

Step-by-step explanation:

if we set the total race of win and lose is 1

then we use 1-0.3=0.7

Answer:

real number, in mathematics, a quantity that can be expressed as an infinite decimal expansion. Real numbers are used in measurements of continuously varying quantities such as size and time, in contrast to the natural numbers 1, 2, 3, …, arising from counting

Step-by-step explanation:

The quotient of any two integers is an integer.

A real number is a number that can be measured and represented on a number line; this includes fractions, decimals, irrational numbers, rational numbers, and basically every number you encounter. With that in mind, the quotient of 2 real numbers is not necessary an interger as 2.01/ 1 is not an integer

Yes, this results in a random sampling because every day the woodworker produces two chairs, and the company that buys the chairs randomly selects the days on which to check the chairs made that day.

This means that each item (each chair) has an equal chance of being selected, and each group of n items (in this case, two chairs) also has an equal chance of being selected. The probability of an item being selected can be calculated using the formula P(A) = n/N, where n is the number of items in the sample and N is the total number of items in the population. In this case, the probability of an item being selected is 2/2 = 1, and the probability of a group of two items being selected is 2/2 = 1. This shows that each item and each group of items has an equal chance of being selected, which means that this is a random sampling.

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