A cylindrical-shaped mug has a diameter of 8 centimeters and a height of 10 centimeters. What is the volume of the mug? Use 3. 14 for p.


A

502. 4 cubic cm


B

1256 cubic cm


C

2009. 6 cubic cm


D

2512 cubic cm

The rule of inference being used here is Modus Tollens. Modus Tollens is a valid deductive argument form that states if a conditional statement "If P, then Q" is true and the consequent Q is false, then the antecedent P must also be false.

In the given scenario, the conditional statement is "If the guard dog doesn't know a person, then it barks."

The observation that the dog didn't bark (Q is false) leads to the conclusion that the dog must have known the person (the antecedent P is false).

To know more about observation visit-

brainly.com/question/21053033

#SPJ11

Answer:

680

Step-by-step explanation:

x = total number

.6x  = bus riders = 408              (.6 is decimal for 60%)

.6x = 408

x = 408/.6 = 680

Answer:

the width is 2.9

Step-by-step explanation:the perimeter is found by L+W+L+W. Each L is going to be the same length and each width is going to be the same length since its a rectangle.

Double the length. 8.3+8.3= 16.6

Then subtract that from the perimeter. 22.4-16.6= 5.8

Then divide 5.8 as that is the total of the two missing sides. 5.8/2= 2.9

Then 2.9 is your answer. Hope that helps.

Answer:

6 and 7

Step-by-step explanation:

The Orthocentre is one of the four (4) most common centres of a triangle.

It is located at the point where the triangle's three(3) altitudes intersect called a point of concurrency.

The Orthocentre is located inside an acute triangle, on a right triangle and outside an Obtuse triangle.

Hence, the correct option is Option C

Answer:

I only know some, I'll answer the ones I know:

Question 1 of 5:

1. Obtuse

2. Acute

3. Obtuse

4. Right

Question 4 of 5:

1. Figure A

2. None

3. Figure C

Step-by-step explanation:

Have a good day :)

Answer:

problem 1:

angle a is obtuse, angle b is acute, angle c is obtuse, angle d is right

problem 3:

triangle a is scalene, triangle b is equilateral, triangle c is isosceles, triangle d is isosceles.

problem 5:

a) triangle

b) circle

c) rectangle

problem 2:

triangle a is obtuse, triangle b is obtuse, triangle c is acute, triangle d is right.

problem 4(answers in orders):

figure a, none, figure c

Hope this helped!

The equation connecting U,S and M is K = U√M/S

The value of M when U=110.5 and S=32 is 4.32

From the information given, we have that U partly varies directly as S and partly inversely as the square root of M.

This is represented mathematically as;

U ∝S/√M

To determine the constant of the variation, we have;

U = KS√M

Now, make 'K' the subject of formula;

K = U√M/S

Substitute the values

K = 124.6 √25/86.75

Find the square root

K = 7. 18

To determine the value of M, we have;

KS/U = √M

substitute the values

√M = 7.18(32)/110. 5

√M = 2. 08

find the square of both sides

M = 4. 32

Hence, the value is 4.32

Learn more about variation here:

https://brainly.com/question/6499629

#SPJ1

About \(80.5\%\) of the variation in y can be attributed to the linear relationship with x.

Used the concept of correlation coefficient that states,

The proportion of the variation in y that can be explained by the linear relationship between x and y can be determined by squaring the correlation coefficient

Given that,

When paired variables are considered, the linear correlation coefficient is,

\(r=0.897\)

Hence the proportion of the variation in y explained by x is,

\(r^2 = (0.897)^2\)

\(r^2 = 0.804609\)

This means that about \(80.5\%\) of the variation in y can be attributed to the linear relationship with x.

Learn more about the correlation coefficient here:

brainly.com/question/27226153.

#SPJ12

The number of terms in the expression, 6 + 2 x - 4 y + 5 z is 4 terms.

In the expression 6 + 2x - 4y + 5z, the number of terms is four, not the number of signs. The terms in this expression are:

Each term is separated by an operator (either addition or subtraction), which is represented by a sign. Therefore, the expression contains three addition signs and one subtraction sign.

Find out more on the number of terms at https://brainly.com/question/30659621

#SPJ1

The full question is:

How many terms are in the following expression 6 + 2 x - 4 y + 5 z

735 gallons of paint are at the store.

A hardware store has 147 containers of paint. Each container holds 5 gallons of paint.

To determine the total gallons of paint, Dale needs to multiply the total number of containers with the capacity of each container.

Therefore, the total gallons of paint at the store = 147 × 5 (gallons/container) = 735 gallons of paint.

Therefore, option C) 735 is the correct answer.

#SPJ11

A hardware store has 147 containers of paint. If each container holds 5 gallon of paint, how many gallon of paint are at the store?

A.235 B.595 C.735 D.905

Dale chose A as the correct answer how did he get that answer?

As a quality controller in a manufacturing company, I would conduct a hypothesis test to determine if there is a significant difference in the mean measurements of shaft diameters between two groups.

To conduct the hypothesis test, I would collect a sample of shaft measurements from each group and calculate the sample means. Then, I would perform a statistical test, such as a two-sample t-test, to compare the means of the two groups. The null hypothesis (H0) would state that there is no difference in the mean shaft measurements between the groups, while the alternative hypothesis (Ha) would suggest that there is a significant difference.

The test would provide a p-value, which indicates the probability of observing a difference in the means as extreme as the one obtained in the sample, assuming that the null hypothesis is true. If the p-value is below a predetermined significance level (e.g., 0.05), we would reject the null hypothesis and conclude that there is a significant difference in the mean measurements of the shaft diameters between the two groups. This would indicate the presence of a systematic variation or discrepancy in the manufacturing process that needs to be addressed to ensure consistent quality in the shaft production.

Learn more about probability here: brainly.com/question/32117953

#SPJ11

Katerina needs to make contributions of $300 at the beginning of each month to accumulate $40,000 in her RSP.

The interest rate is 3.5% compounded quarterly. It will take approximately 15 years for Katerina to reach her goal.

To calculate the number of years required, we need to consider the compounding period and the interest rate.

In this case, the interest is compounded quarterly, which means it is applied four times a year. The interest rate of 3.5% needs to be converted to a quarterly rate by dividing it by 4, resulting in 0.875% per quarter.

Next, we can calculate the monthly interest rate by dividing the quarterly rate by 3, which gives us approximately 0.2917%. Using these values, we can determine the future value of Katerina's contributions using the formula for compound interest:

FV = P * \((1 + r)^n\)

Where FV is the future value, P is the monthly contribution, r is the monthly interest rate, and n is the number of months.

Plugging in the values, we have:

$40,000 = $300 * \((1 + 0.002917)^n\)

To solve for n, we need to isolate the exponent. Dividing both sides by $300, we get:

133.3333 = \((1 + 0.002917)^n\)

Taking the natural logarithm of both sides, we have:

ln(133.3333) = n * ln(1 + 0.002917)

Finally, dividing the natural logarithm of 133.3333 by the natural logarithm of (1 + 0.002917), we can find the value of n.

This calculation yields approximately 179.57 months, which is equivalent to approximately 14.96 years.

Therefore, Katerina must make contributions for approximately 15 years to accumulate $40,000 in her RSP.

To learn more about compound interest visit:

brainly.com/question/25663053

#SPJ11

Answer:

14√3, 10.4

Step-by-step explanation:

1) x = a√3 = 14√3    30-60-90 triangle formulas

2) 18 = a√3              30-60-90 triangle formulas

a = 18/√3

x = a = 18/1.7

x = a = 10.4

The Law of Sines and the Law of Cosines are essential mathematical tools in trigonometry that play a significant role in solving triangles and analyzing their properties.

The Law of Sines and the Law of Cosines enable us to solve triangles when we have limited information about their angles and sides. They provide formulas that relate the lengths of the sides of a triangle to the measures of its angles, or vice versa.

The Law of Sines is particularly important when dealing with the ambiguous case of solving triangles. This occurs when we have information about an angle, its opposite side, and one other side.

Find out more on the law of sines at https://brainly.com/question/30401249

#SPJ1

Answer:

Step-by-step explanation: 1=2==3 oe

Answer:

b

Step-by-step explanation:

edge 2021

Given:

Endpoints of a segment are J(−24,−4) and K(−4,6).

To find:

The equation in point-slope form for the perpendicular bisector of JK.

Solution:

Slope of JK is

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(m=\dfrac{6-(-4)}{-4-(-24)}\)

\(m=\dfrac{6+4}{-4+24}\)

\(m=\dfrac{10}{20}\)

\(m=\dfrac{1}{2}\)

Product of slopes of two perpendicular lines is -1. So, product of perpendicular line of JK is -2.

Perpendicular bisector of JK passes through the midpoint of JK.

\(Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)\)

\(Midpoint=\left(\dfrac{-24-4}{2},\dfrac{-4+6}{2}\right)\)

\(Midpoint=\left(\dfrac{-28}{2},\dfrac{2}{2}\right)\)

\(Midpoint=\left(-14,1\right)\)

Point slope form:

\(y-y_1=m(x-x_1)\)

where, m is slope.

Perpendicular bisector of JK passes through (-14,1) with slope -2. So, the point slope form of JK is

\(y-1=-2(x-(-14))\)

\(y-1=-2(x+14)\)

Therefore, the correct option is D.

The multiplicative inverse of [c] is [x+1]in the finite field defined by the irreducible polynomial   x²+x+1.

To find the multiplicative inverse of the element [c] in this finite field.

We need to define the irreducible polynomial f(x)=x²+x+1  as the modulus.

Set up the extended Euclidean algorithm with f(x) and x and perform the calculations until the remainder becomes a constant (degree 0) polynomial.

The coefficient of the constant term in the remainder polynomial will be the multiplicative inverse of [c] in the finite field.

The extended Euclidean algorithm:

f(x) = x²+x+1

x = f(x) × 0 + x

x = (x) × (-1) + (x + 1)

-1 = x + 1

Hence, the multiplicative inverse of [c] is [x+1]in the finite field defined by the irreducible polynomial   x²+x+1.

To learn more on Polynomials click:

https://brainly.com/question/11536910

#SPJ4

The inequalities are matched with their correct graph respectively as follows:

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

In Geometry, if the leading coefficient of a quadratic equation is greater than (>) zero, the parabolic curve would open upward while the parabolic curve would open downward when the leading coefficient of a quadratic equation is less than (<) zero.

Read more on graph of inequalities here: https://brainly.com/question/24372553

#SPJ1

Complete Question:

Match the questions with the graphs that are labeled A-H. (keep in mind that some questions might have the same answer)

1. A = {(x, y): y > x^2}

2. B = {(x, y): y ≥ x^2+ 3}

3. C = {(x, y): y ≤ 3x^2 + 2}

4. D = {(x, y): y ≥ 2x^2- 5x + 1}

6. x^2- 3x ≥ 0

7. x^2- 3x + 2 ≤ 0

8. {(x, y): y ≤ 1 - x^2}

9. {(x, y): y ≥ -1}

Answer:

It's C

Step-by-step explanation:

Correct. Well done!!

Step-by-step explanation:

ps||pr are parallel

pQR=Rsp

The function f(x) = 2x + 1, where f is defined from the positive integers (Z+) to the real numbers (R), is a one-to-one function, but not a bijection or onto function.

A one-to-one function, also known as an injective function, is a function in which each input value (x) maps to a unique output value (f(x)). In the given expression, f(x) = 2x + 1, every positive integer will have a unique real number output since the coefficient of x is 2, ensuring distinct outputs for distinct inputs. Hence, f is a one-to-one function.

However, a bijection requires that a function be both one-to-one and onto. An onto function, also known as a surjective function, means that every element in the codomain (R) has a corresponding element in the domain (Z+) such that f(x) maps to that element. In this case, the function f(x) = 2x + 1 is not onto because there are real numbers that do not have corresponding positive integers. For example, there is no positive integer x that can satisfy f(x) = 2x + 1 = 0.

In conclusion, the function f(x) = 2x + 1 is a one-to-one function, but it is not a bijection or an onto function.

Learn more about function here:

https://brainly.com/question/30721594

#SPJ11

The computation is that the width is 21.5 feet and the height is 12.5.

Let the height = h

Let the width = (3 × h) - 16 = 3h - 16

Therefore, the dimensions will be:

h + 3h - 16 = 34

4h = 34 + 16

4h = 50

Divide

h = 50/4

h = 12.5

Therefore width = 3h - 16 = 3(12.5) - 16

= 37.5 - 16

= 21.5

The width is 21.5 feet and the height is 12.5.

Learn more computation on:

brainly.com/question/4658834

#SPJ1

Answer:

120

Step-by-step explanation:

36x94=2700+120+540+24

The ranges overlap, it is possible for both measurements to be correct.

Since they show how precise and accurate the numbers being utilised are, significant figures are crucial in measurements and computations. In order to prevent mistakes and maintain the required degree of precision, it is crucial to maintain consistency in the number of significant figures throughout computations. This indicates the amount of uncertainty in a measurement.

Given that, Deondra measures an object as 2 3/4 inches and  Abdul measures 2 1/2 inches to the nearest half inch.

The actual length for Deondra is  between 2 5/8 inches and 2 7/8 inches.

For Abdul the actual length is between 2 inches and 3 inches.

Since the ranges overlap, it is possible for both measurements to be correct.

Learn more about significant figures here:

https://brainly.com/question/17396594

#SPJ1

Answer:

61 miles

Step-by-step explanation:

Since the distance Mia travels is constant, we can find the distance travelled over four days by multiplying 15 1/4 by 4:

(15 1/4) * 4 = 61

Thus, Mia travels 61 miles in 4 days