Choose the correct converse.
A. She does not make the bed or I do not make the bed.
B. If she does not make the bed, then I make the bed.
C. If I make the bed, then she does not make the bed.
D. If I do not make the bed, then she makes the bed.

Answer:

p greater than or equal to 36

Answer:

Step-by-step explanation:

3.4x - 2y

Putting values of x and y in the equation

3.4(1) - 2(-2)

= 3.4 + 4

= 7.4

Answer:

D

explain:

attachment

Answer:

The answer is x = 6.

Step-by-step explanation:

The middle line is 2, and the leg is \(\sqrt{13}\). We can use the pythagorean theorem and use \(\sqrt{13}\) as the hypotenuse and have 2 be a leg.

\(a^{2} + b^{2} = c^{2} \\\\2^{2} + b^{2} = \sqrt{13}^{2}\)

\(4 + b^{2} = 13\\\\b^{2} = 9\\b = 3\)

Since we know one of the bottom parts of x is 3, and the other triangle is the same as the on we solve, we do 3 + 3 which is 6. 6 is equal to x.

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Answer:

927ft

Step-by-step explanation:

but I've seen some with answer choice and the answer would be 979ft

Answer:

If u are given the area of a square and asked to find the measure of side, then follow this:

We know that area of the square is a² (where a is the lenght of the side)

So we can write it as

Given area=a² and solve the equation created!

Example:

Question:

Given area= 16 cm

Lenght=?

Solution:

According to the question,

16=a²

√16 = a

4 = a

Thus the length of the side will be 4 cm

Answer:

12w+13l≥150

Step-by-step explanation:

From the information given, the inequality would indicate that the amount Austin receives from washing cars plus the amount he receives from landscaping that are equal to the price per hour of each job for the number of hours would be greater than or equal to $150:

12w+13l≥150

By answering the presented question, we may conclude that As a result, equation the youngsters read silently in class for 6 1/4 hours in January.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the number "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

To answer these questions, we must first know the number of Mondays and Fridays in January:

The letters S M T W T F S

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31

In January, there are five Mondays and five Fridays.

We sum the amount of time the children read silently in class on Mondays and Fridays to get the total amount of time they read silently in class in January:

3 3/4 + 2 1/2 = 6 1/4 hours.

As a result, the youngsters read silently in class for 6 1/4 hours in January.

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Answer:

Yes, you will have enough ribbon

Step-by-step explanation:

16/4 divided by 1/8

32 people will get ribbon

Answer:

Yes you have enough

Step-by-step explanation:Multiply 1/4 times 2 that is 2/8, Already 2 people done.22 people are left and 4 whole yards of ribbon are left too, for every yard of ribbon you have right now its 8 people so , 4 times 8 is 32.So you have enough.

The equation of the circle centered at the origin with a radius of 12 is x² + y² = 144.

In order to find the equation of a circle centered at the origin with a radius of 12, we need to use the standard form equation of a circle, which is:

(x - h)² + (y - k)² = r²

Where (h,k) represents the center of the circle, and r represents the radius.

In this case, since the circle is centered at the origin, h = 0 and k = 0. Also, since the radius is 12, we can substitute r = 12 in the above equation to get:

x² + y² = 12²

Simplifying further, we get:

x² + y² = 144

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Answer:

I would say not a function but im not 100% sure, i would go with not a function. Tell me if im wrong.

Step-by-step explanation:

Increases in tolerable misstatement will decrease sample size and assessed level of control risk will Increase sample size in a substantive test of details.

Sample size will be decreased when there is an increase in tolerant misstatement because there is a deviation that does not impact the financial statement. An increase in the assessed level of control risk, on the other hand, will increase sample size because the risk of material misstatements has also increased.

Complete question:-

How would increases in tolerable misstatement and assessed level of control risk affect the sample size in a substantive test of details?

a. Increase in Tolerable Misstatement = Decrease sample size. Increase in Assessed Level of Control Risk = Decrease sample size

b. Increase in Tolerable Misstatement = Decrease sample size. Increase in Assessed Level of Control Risk = Increase sample size

c. Increase in Tolerable Misstatement = Increase sample size. Increase in Assessed Level of Control Risk = Decrease sample size

d. Increase in Tolerable Misstatement = Increase sample size. Increase in Assessed Level of Control Risk = Increase sample size

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It is given that the odd against an event are 5 to 13.

The probability that the event will occur is

The solution to the systems of equations graphically is (2, 4)

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

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

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Answer:

The usable steps are:-

Step-by-step explanation:

To answer this question, I'll make use of the following numbers;

\(Decimal = 2.5\)

\(Fraction = -\frac{1}{2}\)

From the list of given options;

Only Option 2, 3 and 5 are applicable

Option 2 can be used by converting the decimal to fraction as follows:

\(Decimal = 2.5\)

The Fraction equivalent of 2.5 is \(\frac{5}{2}\)

Then subtract \(-\frac{1}{2}\) from it;

So:

\(Result = \frac{5}{2} - (-\frac{1}{2})\)

\(Result = \frac{5}{2} + \frac{1}{2}\)

\(Result = \frac{5 + 1}{2}\)

\(Result = \frac{6}{2}\)

\(Result = 3\)

Option 3 can also be used by converting the fraction to decimal as follows

\(Decimal = 2.5\)

\(Fraction = -\frac{1}{2}\)

Decimal equivalent of \(-\frac{1}{2}\) is -0.5

So:

\(Result = 2.5 - (-0.5)\)

\(Result = 2.5 +0.5\)

\(Result = 3\)

Option 5 can also be used.

This is shown as follows;

The opposite of \(-\frac{1}{2}\) is \(\frac{1}{2}\)

Add this to 2.5

\(Result = 2.5 + \frac{1}{2}\)

Convert \(\frac{1}2}\) to 0.5

\(Result = 2.5 +0.5\)

\(Result = 3\)

Answer:

Step-by-step explanation:

Let x be the variable.

One fourth times the difference of ten and x is 2/3

1/4 (10 - x) = 2/3

10 - x = 3/2

-x = 3/2 - 10

x = -3/2 + 10

x = 13/2

The answer is:

\(\rm{\dfrac{1}{4}(10-d)=\dfrac{2}{3}}\)

Work/explanation:

First, the variable is d

Then, the difference of 10 and d is 10 - d.

One-fourth is 1/4.

The equation is : \(\rm{\dfrac{1}{4}(10-d)=\dfrac{2}{3}}\).

The explained variation, or regression sum of squares, is equal to 0 when there is no linear relationship between the independent and dependent variables in a given dataset.

In this case, the best-fit line would be a horizontal line, and the slope of the regression line would be 0. This indicates that changes in the independent variable do not have any impact on the dependent variable, resulting in an explained variation of 0.

To summarize, the explained variation (regression sum of squares) is equal to 0 when there is no linear relationship between the independent and dependent variables in the dataset.

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Answer:

yes

Step-by-step explanation:

This means that your parallelogram has an area of 204 square centimeters.

Thank you for your question. Based on the information provided, it seems that you have a parallelogram with a base of 17 centimeters and a height of 12 centimeters, while your friend also has a parallelogram with a base of 17 centimeters.

To find the area of a parallelogram, we use the formula:
Area = base x height
So for your parallelogram, the area would be:
Area = 17 cm x 12 cm = 204 cm^2

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Answer:

7.29

Step-by-step explanation:

2.7 squared is 7.29. This answer can be calculated by multiplying 2.7 times itself (2.7 * 2.7).

The values of the given equations are as follows:

(a) A^2 = [ 9  -8 ]
          [ -4  17 ].

(b) A^3 = [ -7  53 ]
          [ 30  -43 ].

(c) f(A) = [ -13   95 ]
            [ 68   -69 ].

(d) g(A) = [ 22   11 ]
            [ 0    11 ].

(a) To find A^2, we need to multiply matrix A by itself.

A^2 = A * A

  = [ 1   4 ] * [ 1   4 ]
    [ 2  -3 ]   [ 2  -3 ]

  = [ (1*1 + 4*2)  (1*4 + 4*-3) ]
    [ (2*1 + -3*2) (2*4 + -3*-3) ]

  = [ 9  -8 ]
    [ -4  17 ]

Therefore, A^2 = [ 9  -8 ]
              [ -4  17 ].

(b) To find A^3, we need to multiply A^2 by A.

A^3 = A^2 * A

  = [ 9  -8 ] * [ 1   4 ]
    [ -4  17 ]   [ 2  -3 ]

  = [ (9*1 + -8*2)  (9*4 + -8*-3) ]
    [ (-4*1 + 17*2) (-4*4 + 17*-3) ]

  = [ -7  53 ]
    [ 30  -43 ]

Therefore, A^3 = [ -7  53 ]
              [ 30  -43 ].

(c) To find f(A), we substitute matrix A into the function f(x).

f(A) = 2A^3 - 4A + 5

     = 2 * [ -7  53 ] - 4 * [ 1   4 ] + 5
           [ 30  -43 ]       [ 2  -3 ]

     = [ -14   106 ] - [ 4   16 ] + [ 5   5 ]
         [ 60   -86 ]     [ -8  12 ]

     = [ -14-4+5   106-16+5 ]
         [ 60-(-8)  -86+12+5 ]

     = [ -13   95 ]
         [ 68   -69 ]

Therefore, f(A) = [ -13   95 ]
                [ 68   -69 ].

(d) To find g(A), we substitute matrix A into the function g(x).

g(A) = A^2 + 2A + 11

     = [ 9  -8 ] + 2 * [ 1   4 ] + 11
         [ -4  17 ]     [ 2  -3 ]

     = [ 9   -8 ] + [ 2   8 ] + [ 11   11 ]
         [ -4  17 ]     [ 4   -6 ]

     = [ 9+2+11   -8+8+11 ]
         [ -4+4   17-6 ]

     = [ 22   11 ]
         [ 0    11 ]

Therefore, g(A) = [ 22   11 ]
                [ 0    11 ].

Conclusion:
(a) A^2 = [ 9  -8 ]
          [ -4  17 ].

(b) A^3 = [ -7  53 ]
          [ 30  -43 ].

(c) f(A) = [ -13   95 ]
            [ 68   -69 ].

(d) g(A) = [ 22   11 ]
            [ 0    11 ].

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The given statement (A-B) ∩ (C-B) = A - (B ∪ C) is False , and the counter example is given below .

In the question ,

it is given that ,

(A-B) ∩ (C-B) = A - (B ∪ C)  ,

we use Boolean algebra to prove it ,

Solving LHS first ,

= (A-B) ∩ (C-B)

= A ∩ B' ∩ C ∩ B'          .....because (A - B) = A ∩ B'

= A ∩ B' ∩ C                  ..... because B' ∩ B' = B'

Solving RHS ,

we get ,

= A - (B ∪ C)

= A ∩ (B ∪ C)'            ....because (A - B) = A ∩ B'  ,

= A ∩ (B' ∩ C')            .....by DE Morgan's Law

= A ∩ B' ∩ C'

we see that , LHS ≠ RHS ,

So , the statement is False .

The counter Example is ,

Let A = { 1, 2, 3} , B = { 1, 2, 4} , C = { 2, 4, 5}

LHS is = (A - B) ∩ (C - B)

Putting the values,

LHS = { 3 } ∩ { 5 } = ∅

and  RHS = A - (B υ C)

Putting  the  values,

RHS = { 1, 2, 3} - { 1, 2, 4, 5}

= { 3 }

So , LHS ≠ RHS

Therefore , we have proved that the given statement is false using a counter example .

The given question is incomplete , the complete question is

Prove that each statement is true and find a counterexample for each statement that is false. assume all sets are subsets of universal set u .

For all sets A,B,C,

(A-B) ∩ (C-B) = A - (B ∪ C)

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Answer:

ED = 6.5 cm

BE = 14.4 cm

Step-by-step explanation

AB/BC = AE/ED is less than or eqauls ED = BC×AE/AB

so

ED = 5×26/20 = 130/20 = 6.5 cm

and

AB/AC = BE/CD => BE = AB×CD/AC

so

BE = 20×18/25 = 360/25 = 14.4 cm

The answer to the given question is the angular acceleration of the wheel is 0.7742 rad/s².

We can use the formula for rotational dynamics:

τ = Iα

where τ is the torque applied, I is the moment of inertia, and α is the angular acceleration.

Rearranging this equation, we get:

α = τ / I

Plugging in the given values, we have:

α = 48 Nm / 62 kg⋅m²

Simplifying, we get:

α = 0.7742 rad/s²

Rotational dynamics deals with the motion of objects that are rotating around an axis. The key concept in rotational dynamics is torque, which is a measure of how much a force can cause an object to rotate. The moment of inertia is another important quantity in rotational dynamics, and it describes an object's resistance to rotational motion. The moment of inertia depends on the distribution of mass around the axis of rotation. The angular acceleration of a rotating object is directly proportional to the torque applied and inversely proportional to the moment of inertia. Therefore, a greater torque or a smaller moment of inertia will result in a greater angular acceleration. These concepts are used in a variety of applications, from the motion of planets to the operation of engines and turbines.

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Answer:

33 is the correct answer

The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.

If 100 different random samples of adults were obtained, one would expect more than 50% not owning a credit card.

To determine the expected percentage of adults not owning a credit card, we need more information about the population and the prevalence of credit card ownership. Without that specific information, we can make a reasonable assumption based on general trends.

Assuming that credit card ownership is not universal and that a significant portion of the population does not own credit cards, it is reasonable to expect that in a random sample of adults, more than 50% would not own a credit card.

Based on general trends and assumptions, if 100 different random samples of adults were obtained, one would expect more than 50% not owning a credit card. However, the specific percentage would depend on the characteristics of the population being sampled.

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We have to find the probability of randomly drawing a chip number that is smaller than 213.

As the chips are numbered from 1 to 348,this probability will be equal to the proportion of chips that have a number that is less than 213.

We have 212 chips in the bag that have a number less than 213, so we can calculate the probability P as:

Answer: the probability is 53/87 or approximately 0.6092.

Answer:

12.56m^2

Step-by-step explanation:

a = piR^2

The area of a sector of a given circle is 37.7 m².

Given that, the radius of a circle=4 m and the central angle of a circle=270°.

The area of a sector is the space inside the section of the circle created by two radii and an arc. It is a fraction of the area of the entire circle.

The formula to find the area of a sector is θ/360°(πr²).

Where r is the radius of the circle and θ is the angle of the sector.

Now, area=270°/360°(3.14×4×4)=37.68≈37.7 m².

Therefore, the area of a sector of a given circle is 37.7 m².

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The value of the integral over region R is 16(√2 - 1).

To evaluate the given integral over the region R, we first need to determine the limits of integration. The region R is defined by the inequalities 16 ≤ x² + y² ≤ 36 and x ≤ 0.

This region can be visualized as a semicircle with radius 4 centered at the origin, with the left half of the circle included (since x ≤ 0). Therefore, we can express the integral as follows:

∫∫R 2(x + y) dA = ∫π/2₀ ∫₀⁴ 2(r cosθ + r sinθ) r dr dθ

where r is the radial coordinate and θ is the angular coordinate.

Evaluating this integral gives:

∫π/2₀ ∫₀⁴ 2(r cosθ + r sinθ) r dr dθ = ∫π/2₀ [r² cosθ + r² sinθ] from r=0 to r=4 dθ

= ∫π/2₀ (16 cosθ + 16 sinθ) - (0 cosθ + 0 sinθ) dθ

= ∫π/2₀ 16(cosθ + sinθ) dθ

= 16[-cos(π/4) + sin(π/4)]

= 16(√2 - 1)

Therefore, the value of the integral over region R is 16(√2 - 1).

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