M is the midpoint of PQ.
PM = 5x + 8 and PQ = 76, find x.
(2 Points)
Enter your answer

Truth tables  is a table which can be used to determine if a logic expression evaluates to true or false.

The truth table compares the value of an if statement with each possible result from that if statement and lists out which value produces the true result and which values produce false results.

The truth tables are constructed by placing logical expressions in columns and assigning true or false values depending on whether the expression evaluates to true or false at each intersection of rows, which means that each row represents one possible outcome of those intersections between all combinations of columns

To know more about  truth tables click on the link below:

https://brainly.com/question/29155453#

#SPJ11

The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

for more such question on substituting visit

https://brainly.com/question/22340165

#SPJ8

Answer:

7

Step-by-step explanation:

given a polynomial divide by (x - a) then the remainder is f(a)

here f(x) is divided by (x - 5) , so remainder is

f(5) = 2(5)³ - 12(5)² + 11(5) + 2

     = 2(125) - 12(25) + 55 + 2

     = 250 - 300 + 57

     = - 50 + 57

    = 7

Answer:

For the first one, the answer is 7.5, and for the second one, it's 1.5

Step-by-step explanation:

2 1/2 ÷ 1/3

5/2 ÷ 1/3

5/2 x 3/1

15/2 or 7.5

1/2 ÷ 1/3

1/2 x 3/1

3/2 or 1.5

HOPE THIS HELPS! ENJOY THE REST OF YOUR DAY!

Answer:

0.02

Step-by-step explanation:

Answer:

     20             =  0.02

milligrams      gram  

Step-by-step explanation:

divide the mass value by 1000

i study

The surface area of the regular walls and the roof obtained by finding the  sum of the individual surface area is about 2744.28 square inches

The surface area of a plane is the two dimensional space the plane occupies.

The surface area of the walls and the interior ceiling can be calculated using the formula for finding the area of the rectangular and triangular shapes in the figure as follows;

Area of the rectangular surface = 10 × (24 + 16) + 2 × 28 × 10 + 10 × 16 + 2 × 10 × 18 + 10 × 24 = 1720

Let a and b represent the leg lengths of the wall on the roof, we get;

a·b/2 = (40/2) × 16 = 320

b = 640/a

a² + b² = 40²

Therefore;

a² + (640/a)² = 40²

a = 8·√5

b = 640/(8·√5) = 80·√5/5 = 16·√5

Surface area of the larger roof = 2 × 320 + 28 × 16·√5 + 28 × 8·√5 = 640 + 672·√2 ≈ 1590.35

Let c and d represent the leg lengths of the wall on the smaller roof, we get;

c·d/2 = 120

d = 240/c

c² + d² = 24²

c² + (240/c)² = 24²

c = 4·√3·√(6 + √(11)) and c = 4·√3·√(6 - √(11))

The surface area of smaller roof = 2 × 120 + 18 × (4·√3·√(6 + √(11))) + 18 × (4·√3·√(6 - √(11)) ) ≈ 864.93

The surface area of the figure is therefore; 1720 + 159.35 + 864.93 = 2744.28 square units

Learn more on the surface area of regular figures here: https://brainly.com/question/29183306

#SPJ1

Answer: 4

Step-by-step explanation: 8 times 1 is 8, and 8 divided by 2 is 4.

Luke will have amount of £43,292.17 in his account after 6 years and 3 months.

To solve this problem, we need to use the compound interest formula:

A = P(1 + r/n)^(nt)

where:

A = the final amount of money in the account

P = the initial amount of money invested

r = the annual interest rate (as a decimal)

n = the number of times per year the interest is compounded

t = the number of years

For the first two years, the interest rate is 3.4% per annum, compounded monthly. So we have:

P = £34,000

r = 0.034/12 = 0.0028333 (monthly interest rate)

n = 12 (monthly compounding)

t = 2 (years)

Using the formula, we can calculate the amount of money in the account after two years:

A1 = £34,000(1 + 0.0028333/12)^(12*2) ≈ £37,144.14

After the first two years, the interest rate is 2.3% per annum, compounded monthly. So we have:

P = £37,144.14

r = 0.023/12 = 0.0019167 (monthly interest rate)

n = 12 (monthly compounding)

t = 4.25 (years)

Note that we need to use 4.25 years for the remaining time because 6 years and 3 months is equivalent to 6.25 years, and we have already accounted for the first 2 years.

Using the formula, we can calculate the amount of money in the account after the remaining 4.25 years:

A2 = £37,144.14(1 + 0.0019167/12)^(12*4.25) ≈ £43,292.17

Therefore, the total amount of money in the account after 6 years and 3 months is approximately £43,292.17.

To learn more about amount here:

https://brainly.com/question/28970975

#SPJ4

Answer:

9

Step-by-step explanation:

we can use the pythagorean theorem so (15)²= (12)² + (x)²--> (15)²-(12)²=x²

take the square root of both sides ans x=9

note! this is a special type of triangle called a 3-4-5 special right triangle because all the sides when divided by a factor of 3 will simplify down to the sides 3-4-5 (only true when the hypotheneuse is the 5 because it's the longest side of a triangle)

Answer:

Angle WZY=31degrees

Step-by-step explanation:

5x+11=8x-1

11+1=8x-5x

12=3x

X=12/3

X=4

Substitute x=4 in 5x+11

5(4)+11=31

The required differential equation is x'' + 0.67x' + 2.33x = 0.

The standard differential equation, which we use to represent a damped spring-mass system is written as:

m(d²x/dt²) + c(dx/dt) + kx = 0,

where m is the mass, c is the damping coefficient, k is the spring constant, x is the d²splacement, and the equation has been derived with respect to time t.

In the question, the

mass m = 3 kg,

spring constant k = 7 N/m,

damping constant c = 2N-s/m.

Differentiating x with time t, we take (d²x/dt²) = x'', and (dx/dt) = x'.

Substituting all the values in the standard differential equation, we get:

3x'' + 2x' + 7x = 0,

or, x'' + (2/3)x' + (7/3)x = 0 {Dividing by 3},

or, x'' + 0.67x' + 2.33x = 0, which is the required differential equation.

Learn more about differential equations at

https://brainly.com/question/13557017

#SPJ4

The provided question is incorrect. The correct question is:

"Suppose a spring with a spring constant of 7 N/m is horizontal and has one end attached to a wall and the other end attached to a 3 kg mass. Suppose that the friction of the mass with the floor (i.e., the damping constant) is 2 N⋅s/m. Set up a differential equation that describes this system. Let x denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of x, x′, x′′. Assume that positive displacement means the mass is farther from the wall than when the system is at equilibrium."

A tip of 18% was given to the restaurant after the meal and tax to the nearest percentage.

Cost of the food = $25.30

Tax on the food cost = 8%

Tax amount

= 8% of 25.30

= 0.08  × 25.30

= 2.204

Total cost of food before tip = 25.30 + 2.204 = $27.504

Tip given = 32.24 - 27.504 = 5.036

Tip percentage

= 5.036 / 27.504 × 100%

= 18.31%

≈ 18%

Hence a tip of 18% was given to the restaurant after the meal and tax to the nearest percentage.

Percentage increases and decreases are calculated by computing the difference between two numbers or by comparing that difference to the starting value.

One can calculate how significantly the initial value has changed mathematically by dividing the result by the starting value and using the absolute value of the difference between the two values.

To learn more about percentage visit:

https://brainly.com/question/9622811

#SPJ4

The value of the total area of the shaded region are,

⇒ 42 units²

We have to given that;

Sides of rectangle are,

AB = 9

BC = 6

Hence, The area of rectangle is,

⇒ 9 x 6

⇒ 54 units²

And, Area of triangle is,

A = 1/2 × 4 × 6

A = 12 units²

Thus, The value of the total area of the shaded region are,

⇒ 54 - 12

⇒ 42 units²

So, The value of the total area of the shaded region are,

⇒ 42 units²

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ1

Answer:

I need the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sample is the part of the population that somebody wants to study. therefore, the sample is the 100 male students interviewed

The integral of du/sqrt(a^2 - u^2) is arcsin(u/a) + C, where a is a constant and C is the constant of integration.

To evaluate the integral of du/sqrt(a^2 - u^2), we can use a trigonometric substitution. Let's substitute u = asin(theta), where theta is a new variable. Differentiating u with respect to theta gives du = acos(theta)*d(theta).

Now, let's substitute these expressions back into the integral:

∫(du/sqrt(a^2 - u^2)) = ∫((acos(theta)d(theta))/sqrt(a^2 - a^2sin^2(theta)))

Simplifying the expression under the square root:

= ∫((acos(theta)d(theta))/sqrt(a^2(1 - sin^2(theta))))

= ∫((a*cos(theta)d(theta))/(acos(theta)))

= ∫d(theta)

= theta + C

Since we made the substitution u = asin(theta), we need to express the result in terms of u. Using the relationship u = asin(theta), we can find theta = arcsin(u/a). Therefore, the integral becomes:

∫(du/sqrt(a^2 - u^2)) = theta + C = arcsin(u/a) + C

Hence, the integral of du/sqrt(a^2 - u^2) is arcsin(u/a) + C, where a is a constant and C is the constant of integration.

To learn more about integral click here: brainly.com/question/31433890

#SPJ11

thiis isnt specific but if hes working two summer jobs and making 10 per hour than Brody would be making less than min. wage

The number of people that can go to the amusement park is 10 people

There are three basic types of equation in mathematics. Namely:

259 = 6.50 + 25.25x

259 - 6.50 = 25.25x

252.50 = 25.25x

x = 252.50 / 25.25

x = 10 tickets

Therefore, the number of people that can go to the amusement park is 10 people

Learn more about equations:

https://brainly.com/question/2972832

#SPJ4

The rate of population growth is proportional to the logarithm of the ratio of the carrying capacity to the current population.

The Gompertz function is a solution of the differential equation:

dP/dt = c ln(K/P) P

where P(t) is the population at time t, c is a constant, and K is the carrying capacity, i.e., the maximum population that can be sustained by the available resources.

To solve this differential equation, we can use separation of variables:

dP/P ln(K/P) = c dt

Integrating both sides, we get:

∫ dP/P ln(K/P) = ∫ c dt

Integrating the left-hand side requires a substitution. Let u = ln(K/P), then du/dP = -1/P and the integral becomes:

-∫ du/u = -ln|u| = -ln|ln(K/P)|

The right-hand side is just:

c t + C

where C is an arbitrary constant of integration.

Putting these together, we get:

-ln|ln(K/P)| = ct + C

Taking the exponential of both sides, we get:

|ln(K/P)| = e^(-ct-C)

Using the absolute value is unnecessary, since ln(K/P) is always positive, so we can drop the absolute value and write:

ln(K/P) = e^(-ct-C)

Solving for P, we get:

P = K e^(-e^(-ct-C))

This is the Gompertz function, which gives the population as a function of time, under the assumption that the rate of population growth is proportional to the logarithm of the ratio of the carrying capacity to the current population.

To learn more about unnecessary visit:

https://brainly.com/question/29972055

#SPJ11

When you add -1/4 to itself four times, you get: -1
When you multiply -1/4 by 4, you also get: -1.
Yes, both the results are same which is: -1.

To answer your question, let's break it down into two parts:

1. What do you get if you add -1/4 to itself four times?
To find the answer, you simply add -1/4 four times:
(-1/4) + (-1/4) + (-1/4) + (-1/4) = -1

2. What is -1/4 × 4?
To multiply -1/4 by 4, you perform the multiplication:
(-1/4) × 4 = -1

In conclusion, when you add -1/4 to itself four times, you get -1, and when you multiply -1/4 by 4, you also get -1.

To know more about "Multiplication" refer here:

https://brainly.com/question/30597787#

#SPJ11

its b so please mark me as a brainliest

Answer:

Step-by-step explanation:

a) Input = -9   ⇒ x = -9

y = x² + 3

Plugin x = (-9),

y = (-9)² + 3  

  =  81 +  3                {(-9)² = -9 * (-9) = 81}

y = 84    ---> Output

y = √x - 2

  = √-9 - 2          { i² = -1}

  \(= \sqrt{3*3 * i^{2}}-2\\\\=3i -2\)    

y = 3i - 2  ------> Output

b) Output = 0

y  = x² + 3

x² + 3 = 0

x² = -3

\(x = \sqrt{-3}=\sqrt{3i^{2}}\\\\x = i \sqrt{3}\)

y = √x -2

0 = √x - 2

√x = 2

Take square,

\((\sqrt{x})^{2}=2^{2}\\\x = 4\)

The Standard Normal Table is a tool that is used to calculate probabilities associated with the standard normal distribution.

When using the Standard Normal Table, we can find the area to the left of z < -2.34 by first locating the value -2.3 in the left-hand column of the table and the value -0.04 in the top row of the table.

Then, we find the intersection of the row and column to locate the corresponding value of 0.0099. This value represents the area to the left of -2.3 on the standard normal distribution.

To find the area to the left of -2.34, we need to adjust the value by subtracting the area to the left of -2.34 from the area to the left of -2.3.

The standard normal distribution is symmetric around the mean of 0. It means the area to the right of -2.3 is the same as the area to the left of 2.3.

Therefore, the area to the left of z < -2.34 is the area to the left of -2.3 (0.0099) minus the area between -2.34 and -2.3 (0.0040), which equals 0.0059. So, the area to the left of z < -2.34 is 0.0059.

For similar question on Standard Normal Table

https://brainly.com/question/29291264

#SPJ11

Answer:

(0,0)

Step-by-step explanation:

The y-intercept is where the parabola crosses the y-axis. The y-intercept is expressed as a coordinate pair, where x is always equal to 0 because the y-axis exists where x=0.

There are 2 ways to find the y-intercept of a function. The first way is to plug in 0 for x because you know that x=0 at the y-intercept. Then, solve for y.

\(y=0^2+3(0)\)

y=0

The second, and easier, way to find the y-intercept is to use logic. Since you are plugging in 0 for x, all terms that have variables will equal 0. This means that all that is left are the constants. So, the easiest way to find the y-intercept is to just simplify the constants. Whatever this equals will be the y-value of the y-intercept. Since there are no constants written in this equation, the constant must be 0. If 0 is the constant, then that must mean that the y-value of the intercept is 0.

Step-by-step explanation:

x² - 4x + 3  -  ( - x² + 6x + 2) = x² - 4x + 3 + x² - 6x - 2

                                             =  x² + x² - 4x - 6x + 3  - 2

                                             =  2x² - 10x + 1

Answer:

The answer is "Ratio".

Step-by-step explanation:

A ratio indicates how often a number contains a different number. Whenever the calculation of two quantities, as often happens, is indeed a measurement ratio without dimension. It is called a quotient of two volumes, which is calculated by using various units.

It is the relationship among two or more elements of financial reports is calculated by ratios. These also are efficient when the outcomes are presented several times. It allows you to monitor the performance of your company over time and to detect signs of injury.

Step-by-step explanation:

u will have f(1)+g(1)=0

find the equation which is zero for 1 which is just C

Answer:

Median: 20

first quartile: 9.75

third quartile: 28.75

interquartile range: 19

Explanation:

First we arrange the data from least to greatest