What is the value of x in the equation −x = 4 − 3x + 6? (5 points)510−5−10

The missing fourth vertex needed to create a rectangle is (25, 3) option D.

Vertices (singular: vertex) are the corners or points where two or more lines, edges, or curves intersect and form an angle.

Here, the width of one side of the rectangle;

⇒ +3 - (-6) = 9 unit                (left side y-coordinates)

Similarly the length of the rectangle;

⇒ 25 - (-15) = 40 unit             (up-side x-coordinates)

Since a rectangular shape has two sets of equal sides of equivalent width (y-coordinates) and length (x-coordinates), we realize that the missing fourth vertex should be 9 units and 40 units over the point (25, -6). and (-15, 3)

So, we add 9 to the y-coordinate of (25, -6) and add 40 to the x-coordinate of (-15, 3) to get the missing vertex:

⇒ (25, -6+9) = (25, 3)

⇒ (-15+40, 3) = (25, 3)

Therefore, the missing fourth vertex is (25, 3)

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Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer:

125 weeds in 15 mins

Step-by-step explanation:

In the standard algorithm

Reminder = 2

quotient  = 13

What does quotient in mathematics mean?

The number being divided is known as the dividend, in this case, 15. The number being divided is known as the divisor (in this case, 3). The remainder following division is the quotient.

                                When we divide two integers, the result is a quantity known as the quotient. As an example, since the division resulted in the number 2, the quotient in the equation 8 4 = 2 is 2.

= 93÷7​

Reminder = 2

quotient  = 13

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Answer: x = 7

Step-by-step explanation:

The right angle is equal to 90 degrees

Therefore (5x - 8) + (4x + 35) is equal to 90 degrees

5x - 8 + 4x + 35 = 90

5x + 4x + 35 - 8 = 90

9x + 27 = 90

     - 27    -27 (subtract 27 from both sides)

9x = 90 - 27

9x/9 = 63/9 (divide both sides by 9)

x = 7

Check

5(7) - 8 + 4(7) + 35 = 90

35 - 8 + 28 + 35 = 90

a. The probability that a person has the virus given that they have tested positive is approximately 4.3%.

b. The probability that a person does not have the virus given that they test negative is approximately 99.0%.

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability.

a) We need to find the probability that a person has the virus given that they have tested positive, i.e., P(A|B). We can use Bayes' theorem to calculate this probability:

P(A|B) = P(B|A) * P(A) / P(B)

where P(B|A) is the probability of testing positive given that the person has the virus, P(A) is the prior probability of a person having the virus, and P(B) is the probability of testing positive.

From the problem statement, we know that:

To calculate P(B), we can use the law of total probability:

P(B) = P(B|A) * P(A) + P(B|A') * P(A')

= 0.9 * 0.005 + 0.1 * (1 - 0.005)

= 0.1045

Therefore, we can compute P(A|B) as:

P(A|B) = P(B|A) * P(A) / P(B)

= 0.9 * 0.005 / 0.1045

≈ 4.3%

So, the probability that a person has the virus given that they have tested positive is approximately 4.3%.

b) We need to find the probability that a person does not have the virus given that they test negative, i.e., P(A'|B'). We can again use Bayes' theorem:

P(A'|B') = P(B'|A') * P(A') / P(B')

where P(B'|A') is the probability of testing negative given that the person does not have the virus, P(A') is the prior probability of a person not having the virus, and P(B') is the probability of testing negative.

From the problem statement, we know that:

To calculate P(B'), we can again use the law of total probability:

P(B') = P(B'|A) * P(A) + P(B'|A') * P(A')

= 0.1 * 0.005 + 0.9 * 0.995

≈ 0.895

Therefore, we can compute P(A'|B') as:

P(A'|B') = P(B'|A') * P(A') / P(B')

= 0.9 * 0.995 / 0.895

≈ 99.0%

So, the probability that a person does not have the virus given that they test negative is approximately 99.0%.

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Answer:

-30

Step-by-step explanation:

Answer:

Function 1: exponential

Function 2: exponential

Function 3: quadratic

Step-by-step explanation:

I used a graphing calculator.

Hope this helps:)

The sentence that best describes the paragraph is: "The pirates didn't believe Caesar would kill them because he was their prisoner." So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

The paragraph recounts the events of Caesar's kidnapping by pirates while crossing the Aegean Sea. Despite being held captive, Caesar maintained an attitude of superiority. The pirates demanded a ransom of 20 talents of silver, but Caesar insisted they ask for 50. This indicates that Caesar saw himself as more valuable than the initial ransom amount suggested by the pirates.

After the ransom was paid, Caesar did not forget the pirates' actions. He raised a fleet, pursued the pirates, and captured them. The sentence implies that the pirates didn't believe Caesar would actually kill them because he was their prisoner and they likely saw his promises as mere jest.

However, Caesar, true to his word, had the pirates crucified on his own authority.

This sequence of events highlights Caesar's determination, strategic thinking, and his ability to command respect even in dire circumstances. Despite being initially taken prisoner, he managed to turn the tables on the pirates, assert his authority, and exact his revenge. So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

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The sample space is (a) watermelon, watermelon, lemon-lime, lemon-lime, lemon-lime, grape gumballs, grape gumballs, grape gumballs, grape gumballs, grape gumballs

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

2 watermelon, 3 lemon-lime, and 5 grape gumballs

Rewrite the items according to their frequencies

So, we have the following representation

watermelon, watermelon, lemon-lime, lemon-lime, lemon-lime, grape gumballs, grape gumballs, grape gumballs, grape gumballs, grape gumballs

The above represents the sample space

Hence, the sample space is (a)

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The matching of the expressions are 2/8 + 1/4 = 4/8, 2/8 + 2/6 = 14/24, 2/8 + 7/10 and 2/8 + 7/10 = 76/80

The complete question is added as an attachment

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

2/8 + 1/4

When evaluated, we have

2/8 + 1/4 = (2 + 2)/8

2/8 + 1/4 = 4/8

Next, we have

2/8 + 2/6

Solving the expression, we have

2/8 + 2/6 = (6 + 8)/24

2/8 + 2/6 = 14/24

Next, we have

2/8 + 1/3

Take the LCM and evaluate

2/8 + 1/3 = (6 + 8)/24

2/8 + 1/3 = 14/24

Lastly, we have

2/8 + 7/10

This gives

2/8 + 7/10 = (20 + 56)/80

2/8 + 7/10 = 76/80

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In function ,  value of   the functions p and q are 14, 35.

What is function and example?

p(x)= x+1

q (x) = 2x² - 2

q . p(x) = 2 ( x+1 )² - 2

q . p(x) = 2 ( x² + 1 + 2x )  - 2

q . p(x) =  2x² + 2 + 4x - 4

q . p(x) =  2x² + 4x - 2

q. p(-4) = 2 (-4)² + 4 × -4 - 2

           = 32 -16 - 2

           = 32 - 18   ⇒ 14

q. p(-4) = 14

(pᵒ g)(-4) =    -2x² +1

              =  -2x² + 1

(pᵒ g)(-4) = - 2 (-4)² + 1

               = 32 + 1 = 35

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Answer:

-6 and 7.

Step-by-step explanation:

If we have a function called g, and we know that it has two factors: (x - 7) and (x + 6), then we can find the values of x that make g equal to zero. We call those values the "zeros" of the function g. To find the zeros, we just need to solve the equation (x - 7)(x + 6) = 0. The answer is that the zeros of g are -6 and 7.

Step-by-step explanation:

3x -5=2x + 5

3x-2x=5+5

x=10

Step-by-step explanation:

first group like terms at a side

3x-2x=5+5

anytime a negative crosses the equal sign, it changes to positive and when the positive crosses the sign it changes to negative

x=10

prove

3x-5=2x+5

3(10)-5=2(10)+5

30-5=20+5

25=25

Answer:

d

Step-by-step explanation:

Answer:

It would be d since its 1/2 and there asking for the whole cake

Answer:

-0.24

Step-by-step explanation:

The spinner is divided into five colored sections of different sizes. Tha the sizes of each colour are different is important, because it indicates that each colour has a different chance of happening each spin of the spinner.

The spinner was spun several times and the results were recorded, from this a frequency table

To calculate the probability that the spin will land on blue using the results above, you have to divide the number of times the result "blue" was obtained by the total times the spinner was spun

Multiply it by 100 to express the result as a percentage

For the next spin there is a 16.67% chance it will lando on "blue"

Answer:

12.5

Step-by-step explanation:

divide 43.75 by 3.5 to get your answer

Answer:

84

Step-by-step explanation:

there will be a total of five test scores so we know it will be divided by five.

to get an average score of 80 we can multiply 5*80 to get 400 all the other numbers must equal 400 added up so 400-(78+80+74+84)=x

400-316=x

84=x

Answer:

you would have to score another 84%

First you want to find the sum of all the scores. add them all together and divide by the number of different scores. so this would be 400/5= 80

The volume of the balloon if the pressure remains constant would be = 833ml (approximately)

The initial volume of the balloon(V1) = 2500.0 mL

The initial temperature of the balloon (T1)= 30.0 °C

The final temperature of the balloon(T2) = 10.0 °C

The final volume of the balloon (V2)= X ml

Using Charles Law;

= V1/T1 = V2/T2

= 2500/30 = X/10

X = 2500×10/30

X = 25000/30

X = 833ml (approximately)

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Answer:

Second option

Step-by-step explanation:

If it takes 2 seconds for a spring to complete a cycle, the period is 2 so use the period equation.

\( \frac{2\pi}{ |b| } = 2\)

Solve for b.

\(2\pi \times \frac{1}{2} = b\)

\(\pi = b\)

So the Value of b is pi. So that leaves us only 2 and 5th option.

Know we need to find amplitude.

The amplitude should be half of the total distance between the highest and lowest point so the answer is

\( \frac{5}{2} = 2.5 = a\)

So the equation should be

\(2.5 \sin(\pi(t)) \)

Answer: all are congruent, sorry, don't completely remember this but I tried

Step-by-step explanation:

Answer:

Budgins costs more per can

Step-by-step explanation:

\(\frac{3.56}{8} = 0.445 \: pounds \: per \: can\)

\(\frac{2.78}{6} = 0.46(3) \: pounds \: per \: can\)

Answer:

A. A line segment perpendicular to AB

Using the concept of closure, it is found that the false statement is given by:

Polynomials are closed under division. When you divide polynomials, the result will always be a polynomial.

A polynomial is said to be closed under an operation if the operation always results in a polynomial. It holds true for the addition, subtraction and  multiplication operations.

As for the division, if the degree of the numerator is lower than the degree of the denominator, the result of the division will have a negative exponent, which is not a polynomial, hence the division operation is not closed.

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Answer:

Left-hand side: \(\displaystyle -\frac{1}{2}\, \ln(5)\).

Right-hand side: \(\displaystyle \frac{1}{2}\, \ln(5) - \ln(5)\).

Step-by-step explanation:

Apply the logarithm power rule: \(\ln \left(x^{a}\right) = a\, \ln (x)\) for all \(x >0\).

This property is not only true for logarithm to the base \(e\), but for other bases, as well.

Take the logarithm (to the base \(e\)) of the left-hand side of this equation:

\(\displaystyle \ln \left(5^{-1/2}\right) = (-1/2)\, \ln(5)\).

For the right-hand side of this equation, consider the logarithm quotient rule:

\(\displaystyle \ln \left(\frac{a}{b}\right) = \ln(a) - \ln (b)\) for all \(a> 0\) and \(b > 0\).

Indeed, on the right-hand side of this equation, \(\sqrt{5} > 0\) and \(5 > 0\). Therefore:

\(\displaystyle \ln\left(\frac{\sqrt{5}}{5}\right) = \ln\left(\sqrt{5}\right) - \ln(5)\).

This expression could be further simplified. Notice that \(\sqrt{x}\) is equivalent to \(x^{1/2}\) for all \(x \ge 0\). (Think about how \(\sqrt{x} \cdot \sqrt{x} =x\) whereas \(x^{1/2} \cdot x^{1/2} = x^{(1/2) + (1/2)} = x\).)

Therefore, \(\ln \left(\sqrt{5}\right)\) would be equivalent to \(\ln\left(5^{1/2}\right)\). Apply the logarithm power rule to show that \(\displaystyle \ln\left(5^{1/2}\right) = \frac{1}{2}\, \ln(5)\).

\(\begin{aligned} \text{R.H.S.} &= \ln\left(\frac{\sqrt{5}}{5}\right) \\ &= \ln\left(\sqrt{5}\right) - \ln(5) \\ &= \frac{1}{2}\, \ln(5) - \ln (5) = -\frac{1}{2}\, \ln(5)\end{aligned}\).

Indeed, the left-hand side of this equation matches the right-hand side.

Answer:

30 millimeters

Step-by-step explanation:

Every centimeter is 10 millimeters so 30 millimeters=3cm.

Hope this helps ;D