what is the incorrect math sentence THE LCM IS 3, 6, 9 IS 18?? THE LCM OF 12 AND 15 IS 60 ?? THE LCM OF 4 AND 8 IS 16 ??

[~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T by substituting the propositional variables.

A truth table is a table used to determine the truth values of a compound proposition, which is a logical statement made up of simpler propositions using logical operators such as "and" (represented by "&"), "or" (represented by "V"), "not" (represented by "~"), conditional (represented by "⊃"), and biconditional (represented by "≡").

Let's substitute the given truth values for the propositional variables in the given statement:

[~F & (F V F)] ≡ (T ⊃ F)

Using the truth table for conjunction (represented by "&") and disjunction (represented by "V"), we can simplify the left-hand side of the equivalence:

[T & F] ≡ (T ⊃ F)

Using the truth table for conditional (represented by "⊃"), we can simplify the right-hand side of the equivalence:

F ≡ F

Since both sides of the equivalence have the same truth value, the statement is true.

Therefore, [~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T.

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Answer:

y=0 slope is undefined hope i helped love yall

Step-by-step explanation:

The values of the constants m and c include the following:

m = -1.3

c = 7.1

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

Since the point P(-7, 2) is mapped onto P' (3, -11) by the reflection y = mx + c, we can write the following system of equations;

2 = -7m + c    ...equation 1.

-11 = 3m + c    ...equation 2.

By solving the system of equations simultaneously, we have:

2 = -7m - 3m - 11

11 + 2 = -10m

13 = -10m

m = -1.3

c = 7m + 2

c = 7(-1.3) + 2

c = -7.1

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Answer:

12

Step-by-step explanation:

Seema’s little sister is 2 years more than ¼ of Seema’s age, so you should subtract 2 from 5 to find ¼ of Seema’s age. If 3 is ¼ of Seema’s age, all you do is multiply it by 4 to get the original number. 3x4 is 12, so the final answer is that Seema is 12.

The amount more in income tax that Cho pays than Helen each month would be £56.

First, find Helen's yearly salary :

= 1, 720 x  12

= £ 20, 640

Both Cho's and Helen's annual salaries fall within the Basic rate tax bracket.

Cho 's monthly tax would be:

= (( 24, 000 - 12, 570 ) x 20 % ) / 12

= £ 190. 50

Helen's monthly tax :

= (( 20, 640 - 12, 570 ) x 20 % ) / 12

= £ 134.50

The difference is therefore :

= 190. 50 - 134.50

= £56

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Answer:

A)  The slopes of the two functions are the same.

B)  g(x) has the greater y-intercept

Step-by-step explanation:

Function f(x)

Choose two ordered pairs from the given table:

\(\textsf{let}\:(x_1,y_1)=(0,-1)\)

\(\textsf{let}\:(x_2,y_2)=(1,3)\)

\(\implies \sf \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{3-(-1)}{1-0}=4\)

Function g(x)

g(x) = 4x - 3

Slope-intercept form of a linear equation:  y = mx + b

(where m is the slope and b is the y-intercept)

Therefore, the slope of g(x) is 4

The slopes of the two functions are the same.

Function f(x)

Substitute one of the ordered pairs and the found slope from part A into the point-slope form of a linear equation to find the function f(x):

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

\(\implies y-(-1)=4(x-0)\)

\(\implies y=4x-1\)

Therefore, the y-intercept of f(x) is -1

Function g(x)

The y-intercept of g(x) is 3

Therefore, g(x) has the greater y-intercept as 3 > -1

Slope of f(x)

slope of g(x)

Both have same slopes

Y intercept

Hence g(x) has greater y intercept

Answer:

1 is 6

2 is 3.5

3 is 5

4 is 8.46

Step-by-step explanation:

if not sorry :-(

Answer:

201.06 cu in

Step-by-step explanation:

Answer:

64π

Step-by-step explanation:

πr^2*h/3 is the formula for volume of a cone.

So 16pi * 12/3

Then 16pi *4

so 64 pi is the volume

The simplified form of the given expression as a fraction is 7x/x-7

Fractions  are written as a ratio of two integers. For instance a/b is a fraction where a and b are integers.

Given the expression below;

(1/7+1/x)/(1/49+1/x²)

Find the LCM to have:

(x+7/7x)/(x²-49)/49x²

Divide to have:

x+7/7x * 49x²/(x²-49)

(x+7) * 7x/(x+7)(x-7)

Cancel out the like terms to have:

1 * 7x/x-7

= 7x/x-7

Hence the simplified form of the given expression as a fraction is 7x/x-7

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Answer:

B. The product of 5 and a number.

Product means multiplication is taking place. In this case, 5 is being multiplied with n.

Hope this helps!

Answer:

\(Volume = 5028.6cm^3\)

Step-by-step explanation:

Given

\(Height = 10cm\)

\(Diameter = 8cm\)

Required

Determine the volume

The volume of a cylinder is calculated as thus:

\(Volume = \pi r^2h\)

Where \(r = radius\)

\(r = \frac{1}{2} * Diameter\)

\(r = \frac{1}{2} * 8cm\)

\(r = 4cm\)

\(h = 100cm\)

Take

\(\pi = \frac{22}{7}\), so we have

\(Volume = \pi r^2h\)

\(Volume = \frac{22}{7} * 4^2 * 100\)

\(Volume = \frac{22}{7} * 16 * 100\)

\(Volume = \frac{22 * 16 * 100}{7}\)

\(Volume = \frac{35200}{7}\)

\(Volume = 5028.6cm^3\)

Answer:

Step-by-step explanation:To calculate the savings percentage, we first need to find out the cost of the cardboard required for each box.

For the larger box:

Total Surface Area = 2 * (1926 + 1934.5 + 26*34.5) = 2 * (494 + 655.5 + 897) = 4093 cm²

Cost of cardboard for larger box = 0.502 * 4093 = 2055.986 cents = 20.55986 dollars (rounded to 5 decimal places)

For the smaller box:

Total Surface Area = 2 * (2517 + 2526 + 1726) + 6 * (25-21)* (17-2*1) = 3034 cm²

Note that the additional term in the equation is the surface area of the six sides of the lid and base of the box.

Cost of cardboard for smaller box = 0.502 * 3034 = 1522.268 cents = 15.22268 dollars (rounded to 5 decimal places)

The difference in cost between the larger and smaller boxes is:

20.55986 - 15.22268 = 5.33718 dollars (rounded to 5 decimal places)

The percentage savings can be calculated as follows:

Percentage savings = (difference in cost / cost of larger box) * 100%

= (5.33718 / 20.55986) * 100%

= 25.98%

Therefore, using the smaller box will result in a savings of approximately 26% on cardboard costs for Bathu Sneakers compared to using the normal larger box.

Answer:

98

Step-by-step explanation:

In Questions that involve multiple mathematical operations, we use the BODMAS or PEMDAS.

BODMAS is an acronym and it represents; Bracket, Order, Division, Multiplication, Addition, and Subtraction.

PEMDAS is also an acronym that means the same thing with BODMAS, it represents; Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction

We solve using the order present in BODMAS

-8 ÷ 2 + 12 × 9 - 4 x 6 \  56 ÷ 7 x 2​

Solving all Multiplication, we have;

-8 ÷ 2 + 12 × 9 - 4 x 6 \  56 ÷ 7 x 2​

-8 ÷ 2 + 108 - 24 \  56 ÷ 14

Solving all Division, we have;

-8 ÷ 2 + 108 - 24 \  56 ÷ 14

-4 + 108 - 24 \  4

-4 + 108 - 6

Solving all Addition, we have;

-4 + 108 - 6

104 - 6 = 98

Exact value

Decimal form

0.47712125

Answer:

\(log_{81} 3 = \frac{1}{4}\)

Step-by-step explanation:

\(Let \; log_{81} 3 = x \\\therefore 3 = {81}^x ..(by\: changing\: in \: exponential\: form)\\\therefore 3^1 = {3}^{4x}\\\therefore 1 = 4x.\\(\because bases \: are \: equal,\: hence \: exponents\: will\: also\: be \: equal)\\\therefore x = \frac{1}{4}\\\\\huge\purple{\boxed{\therefore log_{81} 3 = \frac{1}{4}}}\)

Answer:

its the angle

Step-by-step explanation:

im pretty sure

Answer:

\(\huge\boxed{\sf -16}\)

Step-by-step explanation:

Parallel lines always have a same slope. So, The slope of a line parallel to a line with a slope of -16 will also be -16.

\(\rule[225]{225}{2}\)

Hope this helped!

1. The value of x is 9

2. The value of x is 8

To determine the value of the variables, we need to know the properties of a triangle.

These properties includes;

Now, from the information given, we have that;

<L = <Q

<M = <R

The side facing <L is 9

The side facing <Q is x

x = 9

2. The side facing <L is 6

The side facing <Q is 12

Then, x = 8

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Answer:

Carniece recieved 12.5% tip

Step-by-step explanation:

Answer:

I think A but I not sure

Step-by-step explanation:

Answer:

divide by 2

Step-by-step explanation:

because if you subtract 4 -8 =you would get 4then 4-4=0 so eliminate subtract 4 and you can tell the number isnt going higher so you wouldnt add or multiply your welcome

Answer:

Step-by-step explanation:

Substitute 3x into y=-4x-49

y=−4x−49

3x=−4x−49

3x+4x=−4x−49+4x(Add 4x to both sides)

7x/7=−49/7

(Divide both sides by 7)

x=−7

Step: Substitute−7forxiny=3x:

y=3x

y=(3)(−7)

y=−21(Simplify both sides of the equation)

Answer:

x=−7 and y=−21

The solution set to the given system of equation is (- 7, - 21).

Given are the system of equations as follows -

y = 3x

y = - 4x - 49

We have the equations as -

y = 3x             .... Eq [1]

y = - 4x - 49     .... Eq [2]

Now, we can write the equation [2] as -

3x = - 4x - 49

7x = -49

x = - 7

So, we can find the value of [y] as -

y = 3x

y = 3 x - 7

y = - 21

Therefore, the solution set to the given system of equation is (- 7, - 21).

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Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

The length of the base is 40 meters

We have:

Area= 160 square meters

Height = 4 meters

The area is calculated using:

Area = Base * Height

So, we have:

160 = Base * 4

Divide both sides by 4

Base = 40

Hence, the length of the base is 40 meters

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The number she'd have is:

Explanation:

First, let's see which number is in the tens place and which number is in the ones place (the units place).

In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).

So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :

550

That's not all, since we also add 1 to the tens:

560

Answer:

A.

B.

C.

Step-by-step explanation:

all three are used in 3 dimensional objects hence the name 3 dimensions.

\( \large \bf \implies{} |10.5 - ( - 6.1)| \)

The total temperature change

= high temperature - low temperature

= |10.5 - (-6.1)|

{By subtraction.}

Answer:

Step-by-step explanation: