12 times what will equal to minus 4 to equal zero

Answer:

(3,2)

Step-by-step explanation:

-5+8=3

6-4=2

(3,2)

Answer:

343

Step-by-step explanation:

Answer: A. Yes, their slopes are negative reciprocals

Step-by-step explanation:

x=3 is a vertical line where every y value lands on x=3. (Undefined slope)

y=5 is a horizontal line where every x value lands on y=5 (Zero slope)

Even though the slopes are not numbers they can still be negative reciprocals. The lines are indeed perpendicular and thus the slopes are negative reciprocals. The relationship between undefined slopes and zero slopes is negative reciprocals because 0/1 cannot be inversed because anything divided by 0 is undefined.

Answer:

v<-1.3

Step-by-step explanation:

Add 3.9 to -5.2

v<-1.3

Hope this helped!

The answer to the question probability of randomly selected person has a blood pressure of 182.6 mmHg is 0.0088.

What is standard deviation?

A measure of a group of values' variance or dispersion in statistics is called the standard deviation. When the standard deviation is low, the values are more likely to fall within a narrow range, also known as the expected value, whereas when the standard deviation is high, the values tend to be closer to the mean.

The lowercase Greek letter sigma, which stands for the population standard deviation, or the Latin letter s, which stands for the sample standard deviation, are most frequently used in mathematical equations and texts to represent standard deviation. Standard deviation is also sometimes referred to as SD.

The mean blood pressure for people in china is 128 mmHg.

The standard deviation of 23 mmHg.

For blood pressure of 182.6 mmHg

=p(x> 182.6)

=p(z> 182.6-128/23)

=p(z> 2.37)

=0.0088

Hence the probability of a randomly selected person has a blood pressure of 182.6 mmHg is 0.0088.

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Answer:

The expression "2(x + 6) + x" would make the equation unsolvable (i.e., no solution),

Step-by-step explanation:

This initially appears to be an odd question, since one might imagine that there would always be a solution for x, no matter what is put into the "box."  But lets take a look and see what the possible solutions look like when compared to the original equation.  First, rearrange the reference equation so that we can better compared it to the answer options:

3 (x + 1) + 9 = box

3x + 3 + 9 = box

3x + 12 = box

3(x + 4) = box

Now look through the answer options and evaluate how, or if, they may be able to prevent us from finding an actual value or x::

-------------------------

     Option[Box]    Reformatted     Complete Equation   Unsolvable?

                                                            3x + 12 = 3x +12    

                                                               0 = 0                        YES*

                                                              3x + 12 = 11x - 12

                                                               -8x = -24

                                                                   x = 3                        NO

                                                               2(x+4) = 0

                                                                 2x = -8

                                                                    x = -4                      NO    

*  The YES answer means that this expression would make the answer unsolvable.  Note that the expressions on both sides of the equation are equal.  So there is no one answer.  Any choice of a value for x will always be a valid solution.  A singkle value is not possible with this equation.

The points on the ellipse 5x² + y² = 5 that are farthest away from (1, 0) are (-0.25, ±√4.6875).

The square of the distance from a point on the ellipse to the point (1, 0) is ...

 d^2 = (x -1)^2 +y^2

Using the equation of the ellipse to write an expression for y^2, we have ...

 d^2 = (x -1)^2 +5 -5x^2

 d^2 = -4x^2 -2x +6

The expression on the right is that of a downward-opening parabola with ...

 a = -4, b = -2, c = 6

The maximum is located at ...

 x = -b/(2a) = -(-2)/(2(-4)) = -1/4

The value of y there is ...

 y^2 = 5 -5(-1/4)^2 = 4 11/16

 y = √4.6875

Hence the points on the ellipse farthest from (1, 0) are (-0.25,±√4.6875).

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The total distance traveled when Bo fell asleep is 504 miles.

What is the distance traveled?

The path taken by an object to move from a starting point to an ending location in a specified amount of time with a specific velocity is known as the distance traveled.

Given, the total length of distance = 600 miles

           Bo fell asleep = 84%

Let 'x' be the distance traveled.

Then, according to the question

         x = 84% of 600 miles

or,      x = [tex]\frac{84}{100} * 600[/tex]

or,      x = 84*6

or,      x = 504 miles

Hence, the total distance traveled when Bo fell asleep is 504 miles.

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The absolute value of change in the predicted value of dependent variable Y is 18.

Any variable whose value is influenced by an independent variable is said to be dependent. The thing that is measured or assessed in an experiment or mathematical equation is the dependent variable. The phrase "the outcome variable" is another name for the dependent variable.

Slope = b = -4

Intercept = a = -2.8

So, the equation of the regression line is

y  =  a + bx

y = -2.8 - 4x              ...Equation 1

Now suppose the value of x is changed by adding 4.5

i.e. put x = x + 4.5

So,

y = -2.8 - 4(x + 4.5)

y = -2.8 -4x - 18         ...Equation 2

Comparing 1 and 2 ,

We get the predicted value of dependent variable Y as 18

Therefore The absolute value of change in the predicted value of dependent variable Y is 18

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Answer:

....

Step-by-step explanation:

....

....

....

....

...

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-7}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-3)}}} \implies \cfrac{-7 +2}{1 +3} \implies \cfrac{ -5 }{ 4 } \implies {\Large \begin{array}{llll} - \cfrac{5 }{ 4 } \end{array}}[/tex]

The ratio of boys to girls of the junior members of a tennis club is  1 : 3.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, Three-quarters of the junior members of a tennis club are boys.

Assuming the total no. of boys and girls is 1.

∴ 3/4 members are boys and (1 - 3/4) = 1/4 are girls.

So, the ratio of boys to girls is 1/4 : 3/4 which is equal to 1 : 3.

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Answer:

The vector which has a greater magnitude.

Solution:

We know that, magnitude of a vector represents the length of it.

The first vector that is 2 meters long has a magnitude 2.

The second vector that is 4 meters long has a magnitude 4.

Clearly, 4 is greater that 2, i.e., 4 > 2. So, magnitude of second vector is greater.

Therefore, the vector that is 4 meters long has greater magnitude.

Step-by-step explanation:

Answer:

1/4b

Step-by-step explanation:

The measure of angle ABD if triangles ACD and BCD are isosceles is 138 degrees

What are isosceles triangles?

Isosceles triangles are triangles that have two sides equal in measurement.

Main Body:

From the given diagram;

∠BAC = 18 degrees

∠BDC = 48 degrees

Required angle  : ∠ABD

From the diagram, ∠DAB = ∠BAC = 18 degrees

Also, ∠ADC + ∠ACD + ∠DAC = 180

Since triangles ACD is isosceles, hence ∠ADC = ∠ACD. The expression above becomes

∠ADC + ∠ADC + ∠DAC = 180

2∠ADC + ∠DAC = 180

2∠ADC  = 180 - 36

2∠ADC = 144

∠ADC = 144/2

∠ADC = 72 degrees

This means that ∠ADB = 72 - ∠BDC

∠ADB = 72 - 48

∠ADB = 24 degrees

Get the required angle ABD

From triangle ADB, ∠ABD + ∠ADB + ∠DAB = 180

∠ABD + 24 + 18 = 180

∠ABD + 42 = 180

∠ABD = 180 - 42

∠ABD = 138 degrees

Hence the measure of angle ABD if triangles ACD and BCD are isosceles is 138 degrees.

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The store has 16 board games

What are equivalent ratios?

The ratios that are same when compared are called equivalent ratios. The equivalentity of two or more ratios can be determined by comparing them to one another. For instance, 1:2 and 2:4 have the same ratio.

Let x = number of legos

Let y =  number of board games

Given ratio: 9:6= 9/6

x/y = 9/6

substitute x=24

24/y=9/6

Do cross multiplication

(6*24)/9=y

16=y

or

y=16

So, the store has 16 board games

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The compound interest compounded at a rate of 3% quarterly for 5 years is $15,095.39

The compound interest is the interest-based on the initial principal amount and the interest collected over the period of time.  The compound interest formula is given below:

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

Substituting the values into the equation given;

A = 13000(1 + 0.03/4)^4 * 5

A = 13000(1.0075)^20

A = $15,095.39

The amount at the end of 5 years is $15,095.39

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Answer: 4

Step-by-step explanation:

100/8 = 12 golf balls in each box

8*12 = 96 golf balls are used

100-96= 4 gold balls left

There are in total 1.04 x 10^6 bacteria that are growing in the petri dish.

Given that, there are 5.2 x10^4 bacteria in each 20 petri dish, we have to multiply 5.3x10^4 by 20, get the total bacteria in all 20 petri dish.

5.2 x10^4x 20

= 1,040,000

We have to write this in scientific notation.

The goal of scientific notation is to make it simple for scientists to write extremely large or extremely small numbers.

Since it always follows this notation, calculating scientific notation for a positive integer is straightforward:

a x 10^b

1.040000

1 is a, there are 6 digits right to the decimal point.

a=1.04

b=6

The scientific notation for total bacteria in 20 petri dish is 1.04 x 10^6.

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The dimensions x and x+50 are 150 ft by 200 ft. When two polygonal or polyhedral vertices are not on the same edge, a diagonal is a line segment connecting them.

When two polygonal or polyhedral vertices are not on the same edge, a diagonal is a line segment connecting them. Any sloping line is known as a diagonal informally.

If you draw a diagonal, you have 2 right triangles, each with leg lengths of x and x + 50.

The diagonal is the hypotenuse, h = 250

Using Pythagorean theorem:

X² + (x+50)² = 250²

x² + x²+ 100x + 2500 = 62500

2x²+ 100x - 60000 = 0

All are even, so factor out a 2:

x² + 50x - 30000 = 0

From quadratic equation:  x = [-50±√(50²-4(1)(-30000))]/(2(1))

x = (-50 ± 350)/2

We can disregard the negative so

x = (-50 + 350)/2 = 300/2 = 150 ft

The dimensions x and x+50 are 150 ft by 200 ft

The complete question is: A rectangular parking lot is 50ft longer than it is wide. Determine the dimensions of the parking lot if the diagonal distance from corner to corner of the lot is 250ft.

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The age of Jane based on the information is 10 3/10 years.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split.

In this case, Dan is 12 4/5 years old, Karina is 1 1/6 years younger than Sarah and Jane is 1 1/3 years younger than Greg

The age of Jane will be:

= 12 4/5 - 1 1/6 - 1 1/3

= 12 24/30 - 1 5/30 - 1 10/30

= 12 24/30 - 2 15/30

= 10 9/30

= 10 3/10

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Mr. Patrick instructs 15 students in math. He discovered that Payton had received a 95 on the test while grading them from average.

There are 15 kids in Mr. Patrick's class. The average score on his most recent exam was 80 for 14 candidates (not including Payton).

I'm going to use x to represent the unknowable sum of the 14 test scores. Average is computed by adding all the numbers in the set (whose average you're trying to get) together, then dividing by the total number of numbers in that set.

This was the total of their scores: x=1120.

Adding Payton's score now (I'll use the letter p to stand in for her score):

1120+p /15=81→ Her test score was included in the fifteen students' average, which was 81 1120+p=1215

P=95.

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Answer: r = 11.3

Step-by-step explanation:

Standard form : (x-h)2 + (y-k)2 = r2

(h,k) = (5,7)

(x,y) = (-3,-1)

r2 = (-3-5)2 + (-1-7)2

r2 = [tex]-8^{2} + -8^{2} = 64 + 64 = 128\\r = \sqrt{128} = 11.3[/tex]

When coordinates of the center of the circle and a point on the circle are known, Standard form is the one to use.

Answer: A: x=4

Step-by-step explanation:

5(4)-5=15

20-5=15

15=15

The value of the expression (2/3)4 is 8/3.

Expression:

An expression also known as algebraic expression consists of unknown variables, numbers and arithmetic operators. And it does not contain any equality or inequality symbols.

Given,

Here we have the expression (2/3)4

Now, we have to evaluate the expression to find the solution for this one.

In order to get the solution for this expression,

We have to rewrite the given expression like the following form,

=> (2/3) x 4

Now, we have to multiply 4 with the numerator, then we get,

=> 8/3

Therefore, the solution of this expression is 8/3.

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The probability of an event {a or b} is 0.7

Probability: It is the branch of mathematics concerning numerical, descriptions of how likely an event is to occur or how likely it is that a proposition is true. the probability of an event is a number between

0 and 1.

if the two events a and b are mutually exclusive then the addition rule of probability is:

P( a or b) = P(a) + P(b) - P(a∩ b)

Given that,

P(a) = 0.6                    P(b) = 0.5

               P(a ∩ b)= 0.4

According to probability methods, if two events are mutually exclusive, then the probability of either occurring is denoted as P (a ∪ b).

Now, we know that,

P( a ∪ b) = P(a) + P(b) - P( a ∩ b)

              = 0.6 + 0.5 - 0.4

              = 0.7

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The equation to represent total amount of money that she receives for the tee shirts in terms of number of machines is  2800*n*(200 - n)  .

In the question ,

it is given that

the cost of 1 tee - shirt = $14

total days required to deliver the tee shirt = 20

number of tee - shirts that a machine can produce = 200 per day

let the number of machines = n

so the number of days require to set up the machines = n

hence all the machine will work for = (20 - n) days  

1  machines will produce 200(200 - n) tee shirts

n machines will produce = 200n(200 - n) tee shirts in the remaining (20 - n) days .

the selling price of 1 tee shirt is = $14

So, the total money M that she will receive is = 14*200*n*(200 - n)

= 2800*n*(200 - n)

Therefore , The equation to represent total amount of money that she receives for the shirts in terms of number of machines is  2800*n*(200 - n)  .

The given question is incomplete , the complete question is

A manufacturer wishes to make tee-shirts for the band dixie chicks. They sell for $14 each. She must deliver all the tee-shirts in 20 days time. The manufacturer will first set up some machines. Once all machines are set up she will turn them on. Each machine takes one day to set up. A machine produces 200 shirts in one day. All the machines must be set up before any of them are turned on. Express the total amount of money( M ) she will receive for the shirts in terms of the number of machines she decides to set up (assuming she sells all the shirts she makes).

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The total amount that the band earns when the concert  sells out is $18566.50

Given,

Number of seats in The Playhouse Concert Hall = 523

The cost for one ticket charged by The Pink Ladies rock band who holds a concert = $35.50

We have to find the total amount that the band earns when the concert  sells out;

Total amount = Number of seats x Cost for one ticket

Total amount = 523 x 35.50

Total amount that the band earn = $18566.5

That is,

The total amount that the band earns when the concert  sells out is $18566.50

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When chromosomal DNA replication occurs, two identical copies of a chromosome that are linked by a common centromere form a sister chromatid.

DNA, commonly referred to as deoxyribonucleic acid, is the genetic material carried by humans and virtually all other organisms. A person's cells have almost the same DNA.

DNA are made molecular building blocks which are known as the nucleotides. These building blocks consist of a phosphate group, a sugar group, and one of four distinct nitrogen bases. To build DNA strands, nucleotides are linked together into chains with the phosphate and sugar groups swapping positions.

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