Which option below is a different way of writing -5-(-7)?

Answer:

x+12

Step-by-step explanation:

7x+13=97

   -13   -13

7x=84

/7   /7

x=12

Answer: is not a function

Answer:

1. a=90; b=110

2. a=140

3. b=105

4. c=60

5. d=50

Step-by-step explanation:

For Problem 1, A can be found by adding up all the exterior angles and minus the final number by 360. The final number is 270, and 360-270=90, so a=90. To find b, you need to do 180-70=110, so b=110 Another way you could do it is get the original number as 360 and minus all the angles until you get the variable's angle.

For problem 2, you can do the same thing you did to find A in problem 1, which is 140.(360-120-100=140)

For problem 3, we can do the same as the problems before us, so b would be   105. (360-95-70-90=105)

For problem 4, we get c as 60 (360-55-55-90-100=60)

Problem 5 would be d=50 (360-70-70-70-60-40=50)

The missing side of the triangle if the perimeter is equals to 81 is 28.8

Perimeter is the sum of the whole sides of a figure. The perimeter of the triangle above is the sum of the whole three sides.

Therefore,

let

the missing side = x

perimeter = 81

27.7 + 24.5 + x = 81

52.2 + x = 81

subtract 52.2 from both sides

52.2 - 52.2 + x = 81 - 52.2

x = 28.8

learn more on triangle here: https://brainly.com/question/26194439?referrer=searchResults

The probability that none of the students in the second group have been called upon is approximately 0.9069.

What is the probability?

Probability is a mathematical concept that measures the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain.

Given by question.

There are initially 24 students in the class, and 6 of them have already been called upon. Therefore, there are 18 students who have not yet been called upon.

For the first group of three students, Alice can choose any three students out of the 24, which can be done in ${24 \choose 3} $ ways.

For the second group of three students, Alice can only choose from the 18 students who have not yet been called upon. There are ${18 \choose 3} $ ways to choose three students out of the remaining 18.

To find the probability that none of the students in the second group have been called upon, we need to count the number of ways that this can happen. Let's call the six previously called students A, B, C, D, E, and F.

There are ${\(\frac{18}{choose 3}\)} $ total ways to choose the second group of three students. Of those, we want to count the number of ways that do not include any of the six previously called students.

To count this, we can use the principle of inclusion-exclusion. There are ${\(\frac{12}{choose 3}\)} $ ways to choose three students from the 12 remaining students who have not been called upon yet. However, this counts the cases where one or more of the six previously called students are also chosen.

To count the cases where exactly one of the previously called students is chosen, we can choose one of the six previously called students in ${6 \choose 1} $ ways, and then choose two of the remaining 12 students in ${\(\frac{12}{choose 3}\)} $ ways. Therefore, there are ${6 \choose 1} {\(\frac{12}{choose }\)} $ ways to choose three students where exactly one of the previously called students is chosen.

Similarly, there are ${\(\frac{6}{choose 2}\)} {\(\frac{6}{choose 1}\)} {\(\frac{6}{choose 0}\)} $ ways to choose three students where exactly two of the previously called students are chosen, and ${6 \choose 3} {12 \choose 0} $ ways to choose three students where all three of the previously called students are chosen.

Therefore, the number of ways to choose three students from the remaining 18 students where none of the previously called students are chosen is:

$${\(\frac{18}{choose 3}\)} - {\(\frac{6}{choose 1}\)} {\(\frac{12}{choose 2}\)} + {\(\frac{6}{choose 2}\)} {\(\frac{6}{choose 1}\)} {\(\frac{6}{choose 0}\)} - {\(\frac{6}{choose 3}\)} {\(\frac{12}{choose 0}\)} $$

Plugging in the values, we get:

$${\(\frac{18}{choose 3}\)} - {\(\frac{6}{choose 1}\)} {\(\frac{12}{choose 2}\)} + {\(\frac{6}{choose 2}\)} {\(\frac{6}{choose 1}\)} {\(\frac{6}{choose 0}\)} - {\(\frac{6}{choose 3}\)} {\(\frac{12}{choose 0}\)} = 7140 - 5940 + 540 - 20 = 740$$

Therefore, the probability that none of the students in the second group have been called upon is:

\(\frac{$$}{740}\)} {{\(\frac{18}{choose 3}\)}} = \frac {740}{816} = frac {185}{204} \approx. 0.9069$$

To learn more about probability visit:

https://brainly.com/question/14210034

#SPJ1

Answer:

73°

Step-by-step explanation:

To find ∠QPS, just add ∠1 and∠2

∠QPS = ∠1 + ∠2

          = 44° + 29°

          = 73°

Answer:

∠QPS = 73°

Step-by-step explanation:

∠1 = 44°

∠2 = 29°

∠QPS = ∠1 + ∠2 = 44° + 29° = 73°

The domain of a function refers to the set of all possible values that the independent variable (in this case, x) can take. For the given function \( f(x)=-6 \sqrt{5 x+1} \), Domain: \((-1/5, +\infty)\)

The square root function is defined only for non-negative values, meaning that the expression inside the square root, \(5x+1\), must be greater than or equal to zero. Solving this inequality, we have:\(5x+1 \geq 0\)

Subtracting 1 from both sides:

\(5x \geq -1\)

Dividing both sides by 5:

\(x \geq -\frac{1}{5}\)

Therefore, the expression \(5x+1\) must be greater than or equal to zero, which means that the domain of the function is all real numbers greater than or equal to \(-\frac{1}{5}\). In interval notation, this can be expressed as: Domain: \((-1/5, +\infty)\)

Learn more about function here:

https://brainly.com/question/30721594

#SPJ11

(a) The rate of heat addition is 480 kJ per kg of steam entering the first-stage turbine.

(b) The thermal efficiency is 7%.

(c) The rate of heat transfer from the working fluid passing through the condenser to the cooling water is 480 kJ per kg of steam entering the first-stage turbine.

(a) To calculate the rate of heat addition, we need to determine the enthalpy change of the working fluid between the turbine inlet and the turbine exit. The enthalpy change can be calculated by considering the process in two stages: expansion in the first-stage turbine and reheating.

Reheating:

After the first-stage turbine, the steam is reheated to 480°C while the pressure remains constant at 0.7 MPa. Similar to the previous step, we can calculate the enthalpy change during the reheating process.

By summing up the enthalpy changes in both stages, we obtain the total enthalpy change for the cycle. The rate of heat addition can then be calculated by dividing the total enthalpy change by the mass flow rate of steam entering the first-stage turbine.

(b) To determine the thermal efficiency, we need to calculate the work output and the rate of heat addition. The work output of the cycle can be obtained by subtracting the work required to drive the pump from the work produced by the turbine.

The thermal efficiency of the cycle is given by the ratio of the net work output to the rate of heat addition.

(c) The rate of heat transfer from the working fluid passing through the condenser to the cooling water can be calculated by subtracting the work required to drive the pump from the rate of heat addition.

To know more about thermal efficiency here

https://brainly.com/question/12950772

#SPJ4

Answer:

Jorge needs 1/2 apple to make the snack.

The solution of the equation by the quadratic formula are, {±2/3, ±i}

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The equation is,

⇒ 9x⁴ + 5x² - 4 = 0

Now, Put x² = y in above equation, we get;

⇒ 9y² + 5y - 4 = 0

Bu using quadratic formula as;

⇒ y = - 5 ± √5² - 4×9×- 4 / 2×9

⇒ y = - 5 ± √25 + 144 / 18

⇒ y = - 5 ± √169 / 18

⇒ y = - 5 ± 13 / 18

This gives two solution,

⇒ y = - 5 + 13 / 18

⇒ y = 8/18

⇒ y = 4/9

⇒ x² = 4/9

⇒ x = ±2/3

And, y = - 5 - 13 / 18

⇒ y = - 18 / 18

⇒ y = - 1

⇒ x² = - 1

⇒ x = ±i

Thus, The solution of the equation are {±2/3, ±i}.

Learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ1

Answer:

3349.5 \(cm^{3}\)

Step-by-step explanation:

see image

A.  The market equilibrium price of Pt = $200 into this equation gives:

ΔPt = 200 - Pt-1

B.  The long-run equilibrium quantity is 120.

C. $200 is the unique stable equilibrium price in the long run.

(a) At market equilibrium, the quantity demanded (QD) must equal the quantity supplied (QS). Therefore, we can set QD = QS and solve for Pt:

200 - 0.4Pt-1 = -40 + 0.8Pt

Simplifying this expression gives:

1.2Pt = 240

Pt = 200

Therefore, at market equilibrium, the price is $200.

To find the difference equation for price, we use the formula:

ΔPt = Pt - Pt-1

Substituting the market equilibrium price of Pt = $200 into this equation gives:

ΔPt = 200 - Pt-1

(b) To find the long-run equilibrium price and quantity, we need to find the value of Pt that satisfies the equation ΔPt = 0. This means that the price is constant in the long run, and the quantity demanded equals the quantity supplied at every point in time.

Substituting ΔPt = 0 into the difference equation gives:

0 = 200 - Pt-1

Solving for Pt-1 gives:

Pt-1 = 200

Therefore, the long-run equilibrium price is $200.

To find the long-run equilibrium quantity, we substitute Pt-1 = $200 into either the demand or supply equation:

QD = 200 - 0.4(200) = 120

QS = -40 + 0.8(200) = 120

Therefore, the long-run equilibrium quantity is 120.

(c) In the long run, the equilibrium price is stable because it is a fixed point of the difference equation for price. Any deviation from the equilibrium price will cause the price to adjust back to $200 over time. For example, if the price were to increase above $200, the quantity demanded would decrease and the quantity supplied would increase, resulting in a surplus. This surplus would put downward pressure on the price until it returns to $200. Similarly, if the price were to decrease below $200, the quantity demanded would increase and the quantity supplied would decrease, resulting in a shortage. This shortage would put upward pressure on the price until it returns to $200. Therefore, $200 is the unique stable equilibrium price in the long run.

Learn more about price  from

https://brainly.com/question/29023044

#SPJ11

The probability that x is less than 6 is 5/8.

If x is a discrete uniform random variable ranging from one to eight, then each value from one to eight is equally likely to occur, and the probability of any particular value is 1/8.

To find p(x < 6), we need to add up the probabilities of all the values of x that are less than 6:

p(x < 6) = p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4) + p(x = 5)

Since x is a discrete uniform random variable, the probability of each of these values is 1/8, so we can substitute that into the equation:

p(x < 6) = (1/8) + (1/8) + (1/8) + (1/8) + (1/8)

Simplifying, we get:

p(x < 6) = 5/8

Therefore, the probability that x is less than 6 is 5/8.

To know more about probability , refer here:

https://brainly.com/question/32004014#

#SPJ11

Answer:

he distance between point A and point B is 17.01 km

Step-by-step explanation:

If the first stretch of the trip took 1 hour and 40 minutes, this is equivalent to 1 + 40/60 = 2.67 hours. If the friends walked at a speed of 6 km/h for this stretch, then they traveled a distance of 2.67 * 6 = 16.02 km.

If the total trip took 3 hours, and the first stretch took 2.67 hours, then the second stretch took 3 - 2.67 = 0.33 hours. If the friends walked the second stretch at a speed of 3 km/h, then they traveled a distance of 0.33 * 3 = 0.99 km.

The total distance traveled is 16.02 + 0.99 = 17.01 km.

If the friends walked the first stretch at 3 km/h instead, it would have taken them a time of 16.02/3 = 5.34 hours. If they walked the second stretch at a speed of 2 km/h, it would have taken them a time of 0.99/2 = 0.495 hours.

The total time for the trip would have been 5.34 + 0.495 = 5.835 hours. Since this is greater than 3 hours, we know that the friends did not walk the first stretch at 3 km/h. Therefore, the distance between point A and point B is 17.01 km.

Answers: 36

Step-by-step explanation:

The equation of the line in slope-intercept form is: y = 5/2x.

If the value of the slope of the line is represented by m, and y-intercept of the line is b, therefore, the equation of the line in slope-intercept form can be written as: y = mx + b.

The slope of the line (m) = rise/run = 5/2

m = 5/2

The line intercepts the y-axis at 0. The y-intercept therefore is b = 0.

To write the equation of the line, substitute m = 5/2 and b = 0 into y = mx + b:

y = 5/2x + 0

y = 5/2x

Learn more about the slope-intercept form on:

https://brainly.com/question/25826868

#SPJ1

The equation is equivalent to the r = d/t.

There are numerous ways in which one may define an equation. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.

We have to find which equation is equivalent to the formula d = rt.

Formula given: d = rt

Divide both sides by t

d/t = rt / t

d/t = r

Thus, the equation is equivalent to the r = d/t.

To learn more about equations, visit brainly.com/question/29657992

#SPJ4

Answer:

39856

Step-by-step explanation:

100 × 398 + 56

39800 + 56

39856

32 can be written as product of factors 4 × 8 and 2 × 16

The factor of a number is a number that divides the given number completely without any remainder. The factors of a number can be positive or negative.

Given number

32

factoring 32

32 = 2 × 2 × 2 × 2 × 2

32 = 4 × 8

32 = 2 × 16

Hence, product of factors 4 × 8 and 2 × 16 is 32.

Learn more about factor here:

https://brainly.com/question/12344287

#SPJ1

Answer:

70

Step-by-step explanation:

We have 7 blue marbles, and 20 total marbles. As a result, if we randomly chose one marble from the bag, the probability would be (number of favorable outcomes)/(number of total outcomes) = 7/20.

This means that for each 20 trials, we would expect to pull out a blue marble 7 times, as the probability does not change over time (because we put the marbles back, there are the same amount of each marble). Over 200 trials, we can simply make it out of 200 instead of 20. We can thus multiply 7/20 by 10/10 (10/10 is equal to 1, keeping the proportions equal) to get 70/200, so we can expect 70 blue marbles out of 200.

Answer:

A

Step-by-step explanation:

Translation of 3 units is a plus 3 away from the x

Answer:

A: 10v

B: 5v

Step-by-step explanation:

A: Smallest increment can be found by doing 100/ number of tick marks to 100/ (so 100/10)

B: Uncertainty is smallest increment /2 or 10/2

Answer:

A: 10v

B: 5v

Step-by-step explanation: Hoped this helped :3

Answer:

A conditional statement is something like:

If P, then Q.

P = hypothesis.

Q = conclusion.

In this case, we have:

"If a polygon is a quadrilateral, then it is a square".

1) The hypothesis is: a polygon is a quadrilateral

2) The conclusion is:  it is a square

3) It is not true, because there are other quadrilaterals that are not squares, for example, the rectangles.

4) The inverse of a conditional statement is (using the same notation than above)

If not P, then not Q.

In this case is:

"If a polygon is not a quadrilateral, then it is not a square"

(this is true)

5) A converse statement is:

If Q, then P

In this case is:

"if it is a square, then the polygon is a quadrilateral"

(Also true)

6) A biconditional statement is written as:

P if and only if Q.

In this case is:

A polygon is a quadrilateral if and only if it is a square.

(This is false)

Answer:

x = 32

The 9 and 4 ball are farthest from each other.

Step-by-step explanation:

Since the angles of a triangle add up to 180 degrees, you can create the equation (x-5)+(2x+1)+(3x-8)=180, which can be simplified to 6x-12=180. That means the value of x is 32. That means the 9 ball is at 27 degrees, the 4 ball is at 65 degrees, and the 5 ball is at 88 degrees. Based on the angles, the farthest distance would be between balls 9 and 4.

The correct option of the given question is option (c)  fissure.

When coding the phrase "supravesical fissure of urinary bladder," the main term to reference in the index is c. fissure.

To know more about Coding visit:

https://brainly.com/question/29775307

#SPJ11

The main term to reference in the index when coding the phrase "supravesical fissure of urinary bladder" is c. fissure.

In medical coding, the index is typically organized alphabetically based on the main terms or significant words within medical terminology. In this case, "fissure" is the main term that represents the specific condition or anatomical feature being coded.

The other terms, such as "urinary," "bladder," and "supravesical," provide additional context but are not the primary focus when searching for the appropriate code in the index.

To know more about Fissure related question visit:

https://brainly.com/question/28953403

#SPJ11

The original short-run supply curve shifts left, causing the market price to decrease to P2 and the quantity to decrease to Q2.

As a result, some firms exit the market, causing the short-run supply to shift back to the right and the market to return to equilibrium at a lower quantity, Q3, and the same price, P2.

When demand decreases, the original short-run supply curve shifts leftward as firms reduce production to meet the lower demand. This causes the market price to decrease to P2 and the quantity to decrease to Q2.

At this lower price, some firms may exit the market if they are unable to cover their costs, causing the short-run supply curve to shift back to the right.

As a result, the market quantity decreases further to Q3, and the market returns to equilibrium at the same price, P2. In the long run, the supply curve may shift further to accommodate the lower demand, resulting in a new equilibrium price and quantity.

For more questions like Supply curve click the link below:

https://brainly.com/question/14925184

#SPJ11

Answer:

1: 28,620

2: 28,595

3:277,830

4. 177,120

5: 1111,505

6: 882,000

7: 841,750

8: 6.890,000

9: 695,625

10: 895,275

11: 1016,000

12: 55,464,500