Find the value of x in the figure below.
Write an equation and solve for x.
Choose the best answer.
x = 35
x = - 35
x = 33.5

P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q

T T T T T F F F F F T    T

F T T F F T T T T T F    F

P F T F F T T T T T F     F

-P T T F F T T T T T F     F

-Q T T T T F T F F F T     T

-P V -Q T T F F T T T T T F

-P -> Q T T F F T T T T T F

-P -> -Q T T F F T T T T T F

P <-> Q T T T T F T T T T F

Here is a more detailed explanation of how I filled out the table:

P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.

P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.

-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.

-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.

-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.

-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.

-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.

P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.

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Answer:

H0: sigma=12

H1:sigma≠12

This hypothesis test is a two tailed test.

Step-by-step explanation:

The null value described in the statement is 12 mg. So, the null hypothesis would be sigma=12. As the statement states that whether there is sufficient evidence to conclude that standard deviation differs from 12 mg, so the alternative hypothesis would be sigma ≠12. The alternative hypothesis contains inequality sign so, the hypothesis test is a two tailed test.

Answer:

A. x=32

B. x=55

C. y=-18

D. m=-70

E. p=3

F. t=7

G= x=-11

H. n=-25

I. u=16

J. v=27

Answer:

A) x = 32

B) x=55

C) y = -18

D) m = -70

E) p = 3

F) t = 7

G) x = -11

Step-by-step explanation:

\(A) \ \dfrac18x=4\implies x=4\times8\implies x=32\)

\(B) \ \dfrac15x=11\implies x=11\times5\implies x=55\)

\(C) \ \dfrac19y=-2\implies y=-2\times9\implies y=-18\)

\(D) \ \dfrac12m=-35\implies m=-35\times2\implies m=-70\)

\(E) \ 6p=18\implies p=\dfrac{18}6\implies p=3\)

\(F) \ 12t=84\implies t=\dfrac{84}{12}\implies t=7\)

\(G) \ 3x=-33\implies x=\dfrac{-33}3\implies x=-11\)

Step-by-step explanation:

Log(x²+8)=log 10+ log x

Log(x²+8)=log(10×x)

x²+8=10x

x² - 10x + 8=0

x is approximately to - 1 and - 8✅

The solutions to the given equation are x = -1 and x = 8.

Option A is the correct answer.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

Using logarithmic properties, we can simplify the given equation:

logs(x² + 8) = 1 + log g(x)

logs(x² + 8) - log g(x) = 1

log[(x² + 8)/g(x)] = 1

(x² + 8)/g(x) = 10

x² + 8 = 10g(x)

Now we can solve for x by substituting the given answer options and solving for g(x):

For x = -2 and x = -4:

x = -2:

(-2)² + 8 = 12, which is not equal to 10 g(x) for any value of g(x).

So x = -2 is not a solution.

x = -4:

(-4)² + 8 = 24, which is also not equal to 10g(x) for any value of g(x).

So x = -4 is not a solution.

For x = -1 and x = 8:

x = -1:

(-1)² + 8 = 9, which is equal to 10g(x) when g(x) = 0.9.

So x = -1 is a solution.

x = 8:

(8)² + 8 = 72, which is equal to 10g(x) when g(x) = 7.2.

So x = 8 is a solution.

For x = 1 and x = -8:

x = 1:

(1)² + 8 = 9, which is equal to 10g(x) when g(x) = 0.9.

So x = 1 is a solution.

x = -8:

(-8)² + 8 = 56, which is not equal to 10g(x) for any value of g(x).

So x = -8 is not a solution.

Therefore,

The solutions to the given equation are x = -1 and x = 8.

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Answer:

a

Step-by-step explanation:

SOH CAH TOA

Sine is opposite over hypotenuse. The opposite side from the angle is 15 and the hypotenuse is 17.

the solution is: \(w < -5\) . Since all real numbers are either less than or greater than  \(-5\) , the solution set for this inequality is "All reals".

To solve for w in  \(w + 19 < 14\)  , we need to isolate w on one side of the inequality.

This means that any value of w that is less than   \(-5\) would make the inequality true.

For example,    \(w = -6\) is a solution because   \(-6 + 19 < 14.\) Likewise, any value of w that is greater than or equal to -5 would make the inequality false. For example,   \(w = -5\) is not a solution because  \(-5 + 19 = 14\)  .

Subtracting 19 from both sides of the inequality, we get:

\(w + 19 - 19 < 14 - 19\)

\(w < -5\)

Therefore, the solution is:  \(w < -5\) . Since all real numbers are either less than or greater than   \(-5\) , the solution set for this inequality is "All reals".

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The given set A = {10, 11, 12, 13}, has the cardinal number n(A) = 4, and it has 15 non-empty subsets.

In the question, we are given a set A = {10, 11, 12, 13}.

We are asked for the cardinal number of the set n(A).

Also, we are asked for the number of non-empty subsets of A.

The cardinal number of any set A is given as n(A), which represents the number of elements in set A.

For the given set A = {10, 11, 12, 13}, the number of elements are 4.

Thus, the cardinal number of the set A is, n(A) = 4.

The number of non-empty subsets of any set A, with cardinal number n, is given by the formula, 2ⁿ - 1.

The given set A = {10, 11, 12, 13}, has the cardinal number n(A) = 4.

Thus, the number of non-empty subsets of set A = 2⁴ - 1 = 16 - 1 = 15.

Thus, the given set A = {10, 11, 12, 13}, has the cardinal number n(A) = 4, and it has 15 non-empty subsets.

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Answer: See image

Step-by-step explanation:

The bases are 5cm times 3cm, meaning that 2 parallel sides have to be 5cm by 3cm, 2 other parallel sides have to 2cm by 3cm, and the 2 other parallel sides have to be 5cm by 2cm.

Answer:

4:1

Step-by-step explanation:

4 trucks for 1 van

\(\text{Given that,}\\\\f(x) = 4x+5,~~~g(x) = \dfrac 2x\\\\\\f(3) = 4(3) +5 = 12 +5 = 17\\\\\\(g\circ f)(3)=g(f(3))=g(17)=\dfrac 2{17}\)

Answer:

The answer is 2/17

Step-by-step explanation: Can I get brainliest again my answer was deletedee

Answer: 6.25%

Step-by-step explanation:

Percent Decrease = ( ( Starting Value - Final Value ) / Starting Value ) * 100

So 672,000-630000 = 42,000

42,000 / 672,00 = 0.0625

Finally multiply by 100 soooooo 0.0625 * 100 = 6.25%

Answer:

>

>

>

Step-by-step explanation:

..

..................................................

Answer:

(a) 5.44 > 5.17

(b) 7.12 > 1.88

(C) 0.8 > 0.01

Step-by-step explanation:

hope this helps.

brainliest please

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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Answer:

\((gof)(0)=216\)

Step-by-step explanation:

If   \(f(x)=2\,x+6\), and  \(g(x)=x^3\)

then \((gof)(0)\)  can be calculated via:

\(g(f(0))=g(2\,(0)+6)=g(6)=(6)^3=216\)

Answer:

Lion area: 60

Lion Perimeter: 34

Tiger Area: 60

Tiger perimeter: 64

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

because if you solve the problem it is equal to c

Answer:

25

Step-by-step explanation:

hope this helps

Answer:

46656

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

A => 4.05
b =>5.95

now they  told in the coffee blend their ratio is 2:1 :: B:A
So if we take x amounts of A then 2x amount of B
So cost of A => x * 4.05
So cost of B => 2x * 5.95

And result is given 606.1

Hence
x * 4.05 + 2x*5.95 = 606.1

Solve and get x = 38

Brainliest pls :)

Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

Answer:

$1.92

Step-by-step explanation:

$11.59 - $9.67 = $1.92

Answer:

\(slope = \frac{20 - 16}{5 - 3} \)

\( = \frac{4}{2} \)

\( = 2 \: is \: the \: answer\)

The slope of the equation is 2.

The slope of an equation shows a gradient line that measures the steepness of the line.

It can be expressed by using the formula:

\(\mathbf{slope = \dfrac{\Delta y}{\Delta x}}\)

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

From the parameters given;

\(\mathbf{slope = \dfrac{20-16}{5-3}}\)

\(\mathbf{slope = \dfrac{4}{2}}\)

slope = 2

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To determine the numerical value of a digit character given its ASCII code, subtract the ASCII code of '0' (48 in decimal or 0x30 in hexadecimal) from the ASCII code of the digit character.

The ASCII code for the digit '0' is 48 in decimal and 0x30 in hexadecimal. The ASCII codes for the digits '1' to '9' are consecutive integers following '0'. Therefore, to determine the numerical value of a digit character, we subtract the ASCII code of '0' from the ASCII code of the digit character.

For example, the ASCII code for '3' is 51 in decimal and 0x33 in hexadecimal. To determine its numerical value, we subtract the ASCII code of '0' (48 in decimal) from 51:

51 - 48 = 3

Therefore, the value that should be subtracted to determine the numerical value of a digit character is 48 in decimal or 0x30 in hexadecimal.

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Answer:

4x^2 + 28x + 48

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

4x^2 +28x+48

Step-by-step explanation:

see steps below:)

Answer:

store A is 278.4 and store B is 260 and the cost for one shirt from store b is 8.125

Step-by-step explanation

6.96 x 40 gives you 278.4

325 - 20% gives you 260

325 divided by 40 gives you 8.125

then to check your answer you multiply 40 and 8.125 and it gives you 325

The probability, using the binomial distribution, that at least one of the eight launches will result in cloud movement is of:

0.2786 = 27.86%.

The mass probability formula that calculates the probability of x successes is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are listed as follows:

In the context of this problem, the values of these parameters are given as follows:

n = 8, p = 0.04.

The probability of at least one cloud movement is given as follows:

P(X > 0) = 1 - P(X = 0).

In which the probability of none movement is given as follows:

P(X = 0) = (1 - 0.04)^8 = 0.7214.

Hence:

P(X > 0) = 1 - P(X = 0) = 1 - 0.7214 = 0.2786 = 27.86%.

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Answer:

x=13

Step-by-step explanation:

50+3x=89

89-50=3x

39=3x

13=x

The quotient of dividing (3x⁴ - 2x³ + 7x² - 4) by (x - 3) is 3x³ + 7x² + 28x + 84 and the remainder is 248

The division expression is given as:

(3x⁴ - 2x³ + 7x² - 4) / (x - 3)

Set the divisor to 0

x - 3 = 0

Solve for x

x = 3

Substitute x = 3 in 3x⁴ - 2x³ + 7x² - 4

3x⁴ - 2x³ + 7x² - 4 = 3(3)⁴ - 2(3)³ + 7(3)² - 4

Evaluate

3x⁴ - 2x³ + 7x² - 4 = 248

This means that the remainder is 248

Recall that:

Dividend = Divisor * Quotient + Remainder

So, we have:

3x⁴ - 2x³ + 7x² - 4 = x - 3 * Q + 248

Subtract 248 from both sides

3x⁴ - 2x³ + 7x² - 252 = x - 3 * Q

Divide both sides by x - 3

Q = (3x⁴ - 2x³ + 7x² - 252)/(x - 3)

Factorize the numerator

Q = (x - 3)(3x³ + 7x² + 28x + 84)/(x - 3)

Cancel out the common factors

Q = 3x³ + 7x² + 28x + 84

Hence, the quotient is 3x³ + 7x² + 28x + 84 and the remainder is 248

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The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Step-by-step explanation:

The Cartesian product of two sets A and B, denoted by A x B, is the set of all ordered pairs (a, b), where a belongs to A and b belongs to B.

Here, A = {x: 0 < x < 4} and B = {y: 0 <= y <= 2}.

To find A x B, we pair each element of A with each element of B:

A x B = {(x, y) : x ∈ A, y ∈ B}

= {(x, y) : 0 < x < 4, 0 <= y <= 2}

We can represent A x B as a table of ordered pairs:

A x B

(1, 0)

(1, 1)

(1, 2)

(2, 0)

(2, 1)

(2, 2)

(3, 0)

(3, 1)

(3, 2)

Therefore, the Cartesian product of the sets A and B is:

A x B = {(1, 0), (1, 1), (1, 2), (2, 0), (2, 1), (2, 2), (3, 0), (3, 1), (3, 2)}