What property is used in the following equation? 8+x = x+8

Answer:

x=3

Step-by-step explanation:

9-2×=4×-3

9-2×=1×

9-2×=×

9-2×( -9)=×(-9)

-2×=×-9

-2×(-×)=×-9(-×)

-3×=-9

-3÷(-3)=-9÷(-3)

×=3

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

Let's assign variables to represent the statements:

q: The aquarium is full of fish.

r: There are penguins.

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

∧ represents the logical operator "and" which connects the statements r and q.

→ represents the logical operator "implies" or "if...then".

o represents the statement "this is an octopus".

Learn more about compound statement on

https://brainly.com/question/28794655

#SPJ1

Answer:

Step-by-step explanation:

C(t)=30+3.5t

hope this help yw and can i get brainly pls

Answer:

what is that answer plss

The equation be y = -250x + 5000 then the value of x be 18.

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression in mathematics.

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal. Two expressions joined by an equal sign form a mathematical statement known as an equation.

A condition on a variable (or variables) is a pair of expressions in the variable (or variables) that have the same value. The solution or root of the equation is the quantity at which the variable's value satisfies the equation. If you swap the LHS and RHS, an equation still makes sense.

Let the given equation be y = -250x + 5000

simplifying the above equation

−250x + 5000 = 500

Subtract 5000 from both sides, we get

−250x + 5000 − 5000 = 500 − 5000

−250x = −4500

Divide both sides by -250, we get

−250x/-250 = −4500/-250

Therefore, the value of x be 18.

To learn more about equation refer to:

https://brainly.com/question/2228446

#SPJ1

Answer:

z=  0.278

Step-by-step explanation:

Given data

n1= 60 ; n2 = 100

mean 1= x1`= 10.4;     mean 2= x2`= 9.7

standard deviation  1= s1= 2.7 pounds ;  standard deviation 2= s2 = 1.9 lb

We formulate our null and alternate hypothesis as

H0 = x`1- x`2 = 0 and H1 = x`1- x`2 ≠ 0 ( two sided)

We set level of significance α= 0.05

the test statistic to be used under H0 is

z = x1`- x2`/ √ s₁²/n₁ + s₂²/n₂

the critical region is z > ± 1.96

Computations

z= 10.4- 9.7/ √(2.7)²/60+( 1.9)²/ 100

z= 10.4- 9.7/ √ 7.29/60 + 3.61/100

z= 0.7/√ 0.1215+ 0.0361

z=0.7 /√0.1576

z= 0.7 (0.396988)

z= 0.2778= 0.278

Since the calculated value of z does not fall in the critical region so we accept the null hypothesis H0 = x`1- x`2 = 0  at 5 % significance level. In other words we conclude that the difference between mean scores is insignificant or merely due to chance.

Answer: No. 8 is a factor of 16, but not a factor of 36.

Step-by-step explanation:

i-Ready

From the given number line, the variable "m" could take the values of -2, -3.5, 0, and -5

To determine which values the variable "m" could take from the given number line, we need to identify the points or intervals on the number line that correspond to the possible values of "m".

Looking at the number line, we can see the following values:

-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

From this list, the values that "m" could take are:

-2, -3.5, 0, -5

These values are present on the number line, indicating that they are possible values for "m".

Therefore, the variable "m" could take the values -2, -3.5, 0, and -5 from the given number line.

It's important to note that the values -7 and 4 are not present on the number line, so they are not possible values for "m" based on the information provided.

Know more about variable here:

https://brainly.com/question/28248724

#SPJ8

Answer:

3

Step-by-step explanation:

There a 5 chains (each with 3 links). We take one chain and cut all three links. Now we are left with only four chains. This requires only 3 joints. Exactly the number of links I have. Therefore, the lowest number of cuts is three.

The number of different links must be cut a welded should be considered as the 3.

Since

Zack has 13 chains at 5 links each. He wants to combine them

So here we considered only one chain and then cut off all 3 links

So the remaining should be four chains and it needs only 3 joints.

hence, The number of different links must be cut a welded should be considered as the 3.

Learn more about number here: https://brainly.com/question/24585170

The probability of randomly choosing a green marble after you have chosen red is 4.4%

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Given

A jar has 20 marbles: 3 green, 12 blue, 5 red.

Probability;

In probability theory, an event is a set of outcomes of an experiment or a subset of the sample space.

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

The probability of choosing a red marble = Number of red marbles / Total number of marbles

= 5/20

The probability of choosing a green marble is =  Number of green marbles / New total number of marbles

= 3/19

Therefore,

The probability of randomly choosing a green marble after you have chosen red is;

= 5/20 * 3/19

= 3/68

percentage = 3/68 * 100 = 4.4%

Hence, the probability of randomly choosing a green marble after you have chosen red is 4.4%

To know more about probability from the link given below.

brainly.com/question/743546

#SPJ1

The acceleration at time, t = 3 s is 2.2 m/s².

The deceleration of the particle at time, t = 14 s, is -3.143 m/s².

The total distance travelled by the particle is 236.5 m.

The average speed of the particle is 13.14 m/s.

The acceleration of the particle at the given time is the change in velocity to change in time of motion.

From the graph we have the following;

5 s --------------- 22 m/s

3 s ----------------- ?

0 s ----------------- 11 m/s

Interpolate as follows;

(5 - 3 ) / ( 5 - 0 ) = ( 22 - ? ) / ( 22 - 11 )

2/5 = (22 - ? ) / 11

11 (2/5) = 22 - ?

4.4 = 22 - ?

? = 17.6 m/s

The acceleration at time, t = 3 s is calculated as follows;

a = Δv/Δt

a = ( 17. 6 m/s - 11 m/s ) / (3s - 0s )

a = 2.2 m/s²

The deceleration of the particle at time, t = 14 s, is calculated as follows;

11 s ----------- 22 m/s

14 s ------------- ?

18 s ------------ 0

(11 - 14) / (11 - 18) = (22 - ? ) / ( 22 - 0)

0.4286 = (22 - ? ) / 22

22(0.4286) = 22 - ?
9.43 = 22 - ?

? = 12.57 m/s

a = ( 12.57 m/s - 22 m/s ) / ( 14 s - 11 s )

a = -3.143 m/s²

The total distance travelled by the particle is calculated as follow;

total distance = area of triangle 1 + area of rectangle + area of triangle 2

total distance = ¹/₂ (5 - 0)(22 - 11)  +  (11 - 5)(22 - 0) + ¹/₂(18 - 11)(22 - 0)

total distance = 27.5 + 132  +  77

total distance = 236.5 m

The average speed of the particle is calculated as follows;

v = total distance / total time

v = (236.5 m ) / (18 s)

v = 13.14 m/s

Learn more about average speed here: https://brainly.com/question/6504879

#SPJ1

Answer:

Below

Step-by-step explanation:

FV = PV ( 1 + i)^n

FV = future value   PV = present value   i = decimal interest per period (year)

 n = periods (years)

FV = $ 850 (1 +.03)^10 =  $ 1142.33

1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.

2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.

In the standard producer theory, a producer minimizes costs for a given level of output.

This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).

The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).

Find more exercises on producer theory;

https://brainly.com/question/14441430

#SPJ1

Answer:

The answer is option A

Step-by-step explanation:

Equation of a line is y = mx + c

where m is the slope

c is the y intercept

y = - 2x + 5

Comparing with the above equation

Slope = - 2

The y intercept is ( 0 , 5)

Hope this helps you

Answer = c, slope = 5

steps = Substitute x = 0

y = -2 x 0 + 5

answer y = 5 / slope = 5

Probability distribution of x (number of defective test kits) in a random sample of three test kits (d = defective, n = non-defective).By calculating the probabilities for each value of x based on the given probabilities, you can construct the probability distribution for the random variable x.

To construct the probability distribution of the random variable x, which represents the number of defective test kits, we need to determine the probabilities associated with each possible value of x.

Let's denote the probability of a test kit being defective as P(d) and the probability of a test kit being non-defective as P(n). Since there are three test kits in total, the possible values of x can range from 0 (no defective kits) to 3 (all test kits defective).

The probability distribution of x can be represented as follows:

P(x = 0) - Probability of having 0 defective kits:

P(x = 0) = P(n) * P(n) * P(n) - Since all three kits are non-defective.

P(x = 1) - Probability of having 1 defective kit:

P(x = 1) = P(d) * P(n) * P(n) + P(n) * P(d) * P(n) + P(n) * P(n) * P(d) - Considering the three possible combinations where one kit is defective.

P(x = 2) - Probability of having 2 defective kits:

P(x = 2) = P(d) * P(d) * P(n) + P(d) * P(n) * P(d) + P(n) * P(d) * P(d) - Considering the three possible combinations where two kits are defective.

P(x = 3) - Probability of having 3 defective kits:

P(x = 3) = P(d) * P(d) * P(d) - Since all three kits are defective.

The values of P(d) and P(n) are not provided in the given information, so you would need to assign appropriate values based on the context of the problem or any additional information provided. By calculating the probabilities we can construct the probability distribution for the random variable x.

Know more about  Probability distribution   here:

https://brainly.com/question/23286309

#SPJ8

The number of people aged 31-50 years old are cell phone users in the tri-County area are 26,767,650.

A pie chart, also known as a circle chart, is a method of summarizing a set of numeric variables or displaying the variables of a given factor (e.g. percentage distribution).

For the given question;

The total population = 72,345,000.

The total percentage between 31-50 years old = 23% + 14% (see from graph).

Let x be the total number of people between aged between 31 -50 years who are cell phone users.

(23% + 14%) of  72,345,000 = x

x = 37× 72,345,000 / 100

x = 26,767,650.

Therefore, the number of cell phone users aged between 31 to 50 are 26,767,650.

To know more about the pie chart, here

https://brainly.com/question/23969670

#SPJ9

Answer: To calculate the average cost per widget, we need to consider both the fixed costs and the variable costs.

Fixed costs: $34,000

Variable costs per widget: $5.00

Total costs = Fixed costs + (Variable costs per widget × Number of widgets)

Total costs = $34,000 + ($5.00 × 7,000)

Total costs = $34,000 + $35,000

Total costs = $69,000

Average cost per widget = Total costs / Number of widgets

Average cost per widget = $69,000 / 7,000

Average cost per widget ≈ $9.86

Therefore, the average cost per widget of producing 7,000 Wild Widgets is approximately $9.86.

Step-by-step explanation: :)

The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.

From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.

Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:

[asy]

unitsize(1cm);

pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);

draw(O--N--A,Arrow);

draw(O--S--B,Arrow);

\(label("$52^\circ$", N + 0.3*dir(52), NE);\)

\(label("$134^\circ$", S + 0.3*dir(134), SE);\)

draw(O--A--B--cycle,dashed);

\(label("$x$", (N+A)/2, W);\)

\(label("$y$", (S+B)/2, E);\)

[/asy]

We can use the tangent function to find x and y, since we have the angle and opposite side.

From the north observation point, we have:

\($$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$\)

From the south observation point, we have:

\($$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$\)

Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

Know more about  trigonometry   here:

https://brainly.com/question/13729598

#SPJ8

The mapping diagram above represents a function since for each number in Set A(input), there is a single mapping in Set B(output).

To verify whether a relation represents a function, we need to observe if each input is mapped to only one output.

The input and output sets for this problem are given as follows:

Then the mappings are given as follows:

As each input is mapped to a single output, the relation represents a function, and the blanks are completed considering this.

More can be learned about relationships and functions at brainly.com/question/29701528

#SPJ1

The required area of the given figure is  19.68 in².

Given that,

length of first diagonal = p = 16.4 in.

length of 2nd diagonal = q = 2.4 in.

Since, the given figure is nothing but rhombus,

And a parallelogram is a particular instance of a rhombus and its diagonals meet at right angles to form its shape. The rhombus is also referred to as a diamond or rhombus

And we know that area  of a rhombus = (p q)/2

Where p and q are diagonals of the given rhombus

Therefore,

Area = 16.4 x 2.4/2

        =  19.68 in²

So the area of given rhombus is 19.68 in².

To learn more about rhombus visit:

https://brainly.com/question/10008134

#SPJ1

After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.

When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.

The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.

Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.

The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.

It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.

The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.

For more such questions on Quadrilateral:

https://brainly.com/question/27991573

#SPJ8

The correct answer is D. No because 23 and 25 are not supplementary.

In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.

If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.

The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.

For more such answers on supplementary angle

https://brainly.com/question/12919120

#SPJ8

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

0.45 or 1/5 or 1/6

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

-14 = k

Step-by-step explanation:

44 = k+58

Subtract 58 from each side.

44-58 = k+58-58

-14 = k

Answer:

16

Step-by-step explanation:

Please see attached photo for diagrammatic explanation.

Note: r is the radius

Using pythagoras theory, we can obtain the value of 'x' in the attached photo as shown:

|EB|= x

|FB| = 10

|EF| = 6

|EB|² = |FB|² – |EF|²

x² = 10² – 6²

x² = 100 – 36

x² = 64

Take the square root of both side.

x = √64

x = 8

Now, we can obtain line AB as follow:

|AB|= x + x

|AB|= 8 + 8

|AB|= 16

Therefore, line AB is 16

Answer:

No solutions

Step-by-step explanation:

the x's cancel out

Answer:

y = -1/5x + 1

Step-by-step explanation:

1 is the y-intercept, and the formula for slope-intercept is y = mx + b.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

y=mx+b

Step-by-step explanation:

1 is the y-intercept, so just put that in for b. And -1/5 is the slope-value, so you plug that in for m. And you've got yourself an equation.