if PQ = 5 and QR = 17 , find PR

Answer:

branch A is (-3,1)

and B is (3,4)

take minuses 4/7 am not sure lol

Answer:

The answer in 10.8

Answer:

= 2/4 simplified

Step-by-step explanation:

hope this helps

Answer:

4/8 OR 1/2

Step-by-step explanation:

make 1/4 into an ?/8 by multiplying by 2 so you get 2/8

6/8-2/4=4/8 or 1/2

Hit the THANKS Button pls

  V

  V

  V

Answer:

the height of nick is 1.46

Step-by-step explanation:

because to change cm into m we need to divide it by 100so 18/100is 0.18

and total height of Peter is 1.64 so if we -the 0.18then we can get nick's height

Answer:

1.46

Step-by-step explanation:

1.64 to cm is 164

164-18 = 146

146 to meters is 1.46

Answer:    acid + acid = acid

x+%2B++.30%2A5gal+=+.50%285%2Bx%29

           +.5x+=+.20%2A5

                 x = 2 gal

Note:  2gal + 1.5gal = 3.5gal                      

Set Up on ALL mixture problems is to have the same amount of the key ingredient on both sides of the EQ

Step-by-step explanation:

Answer:

f(4) = 14

Step-by-step explanation:

To evaluate f(4), substitute x = 4 into f(x), that is

f(4) = 3(4) + 2 = 12 + 2 = 14

Answer:

B

Step-by-step explanation:

Let’s first look at the y-intercept. Since the equation is in y = mx + b form, we know that m is the slope and b is the y-intercept, so the slope is 1/2 and the y-intercept is 2, or (0,2). We can narrow down our search by noticing that C and D don’t intersect (0,2). That leaves A and B.

The slope is calculated by (y_1 - y_2)/(x_1 - x_2) given points (x_1, y_1) and (x_2, y_2). The slope for A is (4-0)/(2-(-2)) = 4/4 = 1 and the slope for B is (2-0)/(0-(-4)) = 2/4 = 1/2. The slope of B matches the slope that we are looking for. So, the answer is B.

Answer:

Step-by-step explanation:

Step 1. Calculate the measures of center (mean and median)

Mean= Average= All data values added together then divided by number of data values.

Median = middle of numbers

So, number of data values = 3+2+5+1+3+8+3+1= 26

Data values added together = 0 + 4+4+4+5+5+5+5+5+5+5+5+6+6+6+7+8+8+8+8+8+9+9+10+10+10= 165

165/26= 6.34615384

Average = 6.3

Median: Arrange numbers from least to greatest and eliminate one on both sides until you get a middle number:

0 , 4,4,4,5,5,5,5,5,5,5,5,6,6,6,7,8,8,8,8,8,9,9,10,10,10

The median is 6.

Step 2: Calculate range, IQR, and MAD

Range: Maximum- minimum

IQR: The IQR is the difference between Q3 and Q1.

Q1 is the middle value in the first half of the data set.

Q3 is the middle value in the second half of the data set.

MAD:

Range: 10-0= 10

IQR: 3

MAD (population) : 1.9378698224852

MAD (sample) : 1.9378698224852

To write the vector y = [2, 8, 4, -6] as a sum of a vector in W1 and a vector in W2, we need to find the scalar multiples of vectors u1 and u2 that can be added to scalar multiples of vectors u3 and u4 to obtain y.

Let's find the scalar multiples of u1 and u2 first:

a1u1 + a2u2 = [2, 8, 4, -6]

We can solve this system of equations to find the values of a1 and a2:

a1 + 0 = 2 --> a1 = 2

0 + (-a2) = 8 --> a2 = -8

-5a1 + 2a2 = 4 --> -5(2) + 2(-8) = 4 --> -10 - 16 = 4 --> -26 = 4 (not satisfied)

2a1 + 5a2 = -6 --> 2(2) + 5(-8) = -6 --> 4 - 40 = -6 --> -36 = -6 (not satisfied)

Since the last equation is not satisfied, we cannot write y as a sum of a vector in W1 and a vector in W2.

Therefore, there is no solution to this problem. The vector y cannot be expressed as a sum of a vector in W1 and a vector in W2.

learn more about multiples here

https://brainly.com/question/14059007

#SPJ11

The 4th proportional of the given ratio is 4/3. option C

The range of the data 112, 121, 184, 189, 177, 190 is 78. option A

It follows from the concept of proportions that the ratios can be represented as follows;

21 : 7 = 4 : 3a + 1

21/7 = 4 / (3a + 1)

cross product

21 × (3a + 1) = 4 × 7

63a + 21 = 28

subtract 21 from both sides

63a = 28 - 21

63a = 7

a = 7/63

a = 1/9

So,

3a + 1

= 3(1/9) + 1

= 3/9 + 1

= 1/3 + 1

= 1 ⅓

= 4/3

21 : 7 = 4 : 4/3

Range of the data:

112, 121, 184, 189, 177, 190

Recall, the range of a dataset is the difference between the maximum and minimum data values and hence, we have;

Range = Highest data value - Lowest data value

= 190 - 112

= 78

Therefore, the range of the given set of data is 78.

Read more on ratio:

https://brainly.com/question/2328454

#SPJ1

Step-by-step explanation:

Before I discuss how to graph both equations, I believe that it is essential to understand the variables and constant related to linear equations.

The slope-intercept form is: y = mx + b, where:

m = slope (which tells you the steepness of the line).

b = y-intercept: this is the point on the graph where it crosses the y-axis. Its coordinates is always formatted as, (0, b). The b is the y-coordinate of the y-intercept that you use for the equation.

The standard form of linear equations is: Ax + By = C, where:

A, B, C are integers (whole numbers, and cannot be in fraction or decimal forms).  A and B ≠ 0, and A must be a positive integer.

Now that I have defined what the slope-intercept and standard form of linear equations are, we can proceed with working on graphing both equations.

In this equation, the slope (m) = -6, and the y-intercept (b) = -4.  As an ordered pair, the y-intercept is (0, -4). In order to graph this equation, start by plotting the y-intercept on the graph. Then, use the slope (rise over run) to plot other points on the graph (6 units down, 1 unit run). Your next point should occur at (1, -10).

You could simply connect these two points and draw a line, or plot another point on the graph using the slope technique mentioned in this post.

This equation is in standard form, Ax + By = C.  It is easier to graph a linear equation when it is in its slope-intercept form, y = mx + b.

In order to transform this equation into its slope-intercept form, start by subtracting 3x from both sides of the equation:

3x - 4y = 12

3x - 3x - 4y = - 3x + 12

-4y = -3x + 12

Next, divide both sides by -4 to isolate y:

\(\frac{-4y}{-4} = \frac{-3x + 12}{-4}\)

y = ¾x - 3 ⇒ This is the slope-intercept form where the slope, m = ¾, and the y-intercept is b = -3.

Similar to how we graphed the equation from question 7, start by plotting the y-intercept, (0, -3). Then, use the slope of the equation, m = ¾ (3 units rise, 4 units run) to plot the next point. The next point should occur at (0, 4).

Attached are the graphed equations.  

Applying the power rules, it was found that the equivalent expressions are:  \(6^{(x+7)}*(2)^{5x}\) and \((2)^{5x+1}*6^{(x+6)}*3\).

The main power rules are presented below.

For solving this question, you should apply the power rules and check the options are equivalent to the given expression \(6*(36)^{\frac{x}{2}+3}*(2)^{5x}\).

From the power rules, you can simplify the given expression, as shown below.

\(6*(36)^{\frac{x}{2}+3}*(2)^{5x}=6*(6^2)^{\frac{x}{2}+3}*(2)^{5x}\\ \\ 6*(36)^{\frac{x}{2}+3}*(2)^{5x}=6*(6)^{x+6}*(2)^{5x}\\ \\ 6*(36)^{\frac{x}{2}+3}*(2)^{5x}=6*6^x*6^6*(2)^{5x}\\ \\ 6*(36)^{\frac{x}{2}+3}*(2)^{5x}=6^{(x+7)}*(2)^{5x}\)

Then, you should find an expression equivalent to \(6^{(x+7)}*(2)^{5x}\).

This expression is exactly the result of the simplification done in the expression given \(6*(36)^{\frac{x}{2}+3}*(2)^{5x}\).

It is equivalent to \(6^{(x+7)}*(2)^{5x}\).

The expression \(6^{(2x+6)}*(2)^{5x}\) is not equivalent to  \(6*(36)^{\frac{x}{2}+3}*(2)^{5x}\).

\((2)^{5x+1}*6^{(x+6)}*3= 2^{5x}*2^1*6^x*6^6*3\\ \\ (2)^{5x+1}*6^{(x+6)}*3= 2^{5x}*6^x*6^6*6\\ \\ (2)^{5x+1}*6^{(x+6)}*3= 2^{5x}*6^x*6^7\\ \\ (2)^{5x+1}*6^{(x+6)}*3= 2^{5x}*6^{x+7}\)

The expression \((2)^{5x+1}*6^{(x+6)}*3\) is equivalent to  \(6*(36)^{\frac{x}{2}+3}*(2)^{5x}\).

\(32^x*(216)^{\frac{x}{2}+3} =2^{5x}*(6^3)^{\frac{x}{2}+3}\\ \\ 32^x*(216)^{\frac{x}{2}+3} =2^{5x}*(6^\frac{3x}{2} )*6^9}\\ \\\)

The expression \(32^x*(216)^{\frac{x}{2}+3}\) is not equivalent to  \(6*(36)^{\frac{x}{2}+3}*(2)^{5x}\).

\(32^x*(6)^{\frac{x}{2}+4}=2^{5x}*6^{\frac{x}{2} }*6^4\)

The expression \(32^x*(6)^{\frac{x}{2}+4}\) is not equivalent to  \(6*(36)^{\frac{x}{2}+3}*(2)^{5x}\).

Learn more about power rules here:

brainly.com/question/12140519

#SPJ1

Manuel needs 20 liters of the 8% and 5 liters of 20% mixtures to be mixed so as to get 30 liters of a mixture of water and 10% lemon juice.

Let x represent the amount of 8% lemon juice in liters and y represent the amount of 20% lemon juice in liters.

Since Manuel wants to produce a 30 liters mixture from 8% lemon juice and 20% lemon juice, hence:

x + y = 30      (1)

Also, Manuel wants 30 liters of a mixture of water and 10% lemon juice, hence:

8% of x + 20% of y = 10% of 30 liters

0.08x + 0.2y = 3         (2)

Solving equation 1 and 2 simultaneously; multiply equation 1 by 0.2 and subtract equation 2 from the result:

0.12x = 3

x = 25 liters

x + y = 30

25 + y = 30

y = 5 liters

Manuel needs 20 liters of the 8% and 5 liters of 20% mixture

Find out more at: https://brainly.com/question/15024774

The term which is used for describing the number of voters who casted their votes using the ballots is called as voter turnout.

The process of selecting a candidate for a suitable post who takes care of the policies which will be framed for the people is called as voting. In this process, the members/ citizens casts their vote in the favor of their suitable candidate. Many times voters are not valid and their votes are considered as null and void.

The voter turnout is either the percentage of registered voters, eligible voters, or all voting-age people ( this varies from place to place depending upon the minimum voting age required). The voter turnout is also referred to the number of people who go to it or take part in it. High voter turnout is generally considered a sign of a healthy democracy.

Learn more about voter turnout at:

brainly.com/question/29639449

#SPJ4

Answer:

5x-6

Step-by-step explanation:

Multiply 9x and 18 with -1/3

-1/3 times 9x is -3x

-1/3 times 18 is -6

So the equation looks like this:

-3x-6+8x

8x plus -3x is 5x

So the answer is: 5x-6

Hope this helps!

There are 36 possible outcomes when rolling a pair of fair dice, and each outcome is equally likely. Therefore, the probability of rolling a sum of 7 before a sum of 8 is 1/6.

We want to find the probability of rolling a sum of 7 before a sum of 8.

One way to approach this problem is to use the concept of conditional probability.

Let A be the event that a sum of 7 is rolled before a sum of 8, and let B be the event that a sum of 7 or 8 is rolled on the first roll. Then, we can express the probability of A as:

P(A) = P(A | B) * P(B) + P(A | B^c) * P(B^c)

where B^c is the complement of B (i.e., the event that neither a sum of 7 nor 8 is rolled on the first roll).

Since the sum of 7 and the sum of 8 are the only ways to win the game, P(B) = 6/36 + 5/36 = 11/36. Also, if a sum of 7 or 8 is rolled on the first roll, the game continues with the same rules, but with one fewer roll.

Therefore, we have:

P(A | B) = P(win on next roll) = P(sum of 7) / P(sum of 7 or 8) = 6/11

P(A | B^c) = P(win after next roll)

=P(sum of 7 on second roll) / P(neither sum of 7 nor 8 on first roll)

= (6/36 * 5/30) / (20/36)

= 1/12

Substituting these values into the equation above, we get:

P(A) = (6/11) * (11/36) + (1/12) * (25/36) = 1/6

Therefore, the probability of rolling a sum of 7 before a sum of 8 is 1/6.

To learn more about probability Click here:

brainly.com/question/30034780

#SPJ4

Answer:

15. -3 1/4

16. -4 1/2 OR -4 2/4

17. 1 1/4

18. -5 3/4

19. 1/2 OR 2/4

20. -2 1/2 OR -2 2/4

Step-by-step explanation:

Answer:

15) -3.25

16) -4.5

17)1.25

18)-5.75

19).5

20)-2.5

Evaluate

\( \sf \longmapsto \: y + h\)

When

Let's start.

\( \sf \longmapsto \: y + h\)

\( \sf \longmapsto6 +0\)

\( \sf \longmapsto6\)

Answer:

The answer would be B- 6s+48=258

Step-by-step explanation:

This is because she earns 6 points each time she goes so it would be 6*s, and she already has 48 points so thats where the +48 comes from

:)

Answer:

6s + 48 = 258

Step-by-step explanation:

I hope this helps!

Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Learn more about the Linear Equations:

https://brainly.com/question/19803308

Answers:

tan(A) = 8/15

sin(A) = 8/17

cos(A) = 15/17

==================================================

Explanation:

The tangent ratio involves the opposite over adjacent. With respect to angle A, the opposite side is 8 units long as this side is as far as possible away from angle A. In contrast, the adjacent side is 15 units long because this leg is closest possible and the two are right next to one another.

Therefore,

tan(angle) = opposite/adjacent

tan(A) = BC/AC

tan(A) = 8/15

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

As for the other trig ratios, they are:

sin(angle) = opposite/hypotenuse

cos(angle) = adjacent/hypotenuse

which explains why sin(A) and cos(A) are 8/17 and 15/17 respectively.

Answer:

a) The minimum normal value of the platelet count of a healthy person in usual form is 105,000,000,000 per liter (or 105 x 10^9 per L).

b) The platelet count of Allen in the usual form is 65,000,000,000 per liter (or 65 x 10^9 per L).

c) Allen needs to gain 40,000,000,000 more platelets per liter (or 40 x 10^9 per L) to reach the normal value of a healthy person.

\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)

Here's your Answer ~

A.) minimum number of platelet count for a healty person :

\(\qquad \sf\dashrightarrow \:105000000000 \: \: per \: litre\)

[ That's the usual form, you just need to add 9 zeros to the value ]

B.) The value of platelet count of Allen :

\(\qquad \sf\dashrightarrow \:65000000000 \: \: per \: litre\)

C.) platelet count she should gain to be equal to the normal value :

\(\qquad \sf  \dashrightarrow \: 105 \times 10 {}^{9} - 65 \times 10 {}^{9} \)

[ taking 10⁹ common ]

\(\qquad \sf  \dashrightarrow \: 10 {}^{9} (105 - 65)\)

\(\qquad \sf  \dashrightarrow \: 40 \times 10 {}^{9} \: \: per \: \: litre\)

In normal value, it will be :

\(\qquad \sf\dashrightarrow \:40000000000 \: \: per \: litre\)

Answer:

(5b-4)1/5 = 5b * 1/5 - 4 * 1/5 = b - 4/5

Therefore, the  solution of given equation is x<48.84. Therefore the correct option is option a .

An equation is a mathematical expression of the type A=B that is used to determine values or solutions. Typically, equations incorporate variables (unknowns). x + 4 = 14, where x is a variable, is an illustration of an equation. The objective is to identify the value of x that causes the equal (=) sign to be true. In this case, the answer is x = 10.

Here,

The given inequality is

11.22x + 200 <  347.96

We need to solve the above inequality for x.

Add 200 on both sides.

11.22x - 200+ 200 < 347.96 +200

11.22 <547.96

Divide both sides by 11.22.

11.22x/11.22 < 547.96/ 11.22

x< 48.8377896613

x < 48.84

Therefore the  solution of given equation is x<48.84. Therefore the correct option is option a .

To know more about equation , visit

brainly.com/question/10413253

#SPJ4

To find two incomparable elements in a poset, we need to identify two elements that cannot be compared using the partial order relation of the poset.

a) In the poset (P({0,1,2}), ⊆), we are dealing with the power set of {0,1,2} ordered by set inclusion. This means that for any two sets A and B, if A is a subset of B, then A is less than or equal to B in the partial order. To find two incomparable elements, we need to find two sets that are not subsets of each other. For example, {0,1} and {2} are incomparable since neither is a subset of the other. Another example would be {0,1} and {1,2}, since neither is a subset of the other.

b) In the poset ({1,2,4,6,8}, |), we are dealing with the set of positive integers {1,2,4,6,8} ordered by divisibility. This means that for any two integers a and b, if a divides b (i.e. b is a multiple of a), then a is less than or equal to b in the partial order. To find two incomparable elements, we need to find two integers that do not divide each other. For example, 2 and 8 are incomparable since 8 is not divisible by 2, and neither is 2 divisible by 8. Another example would be 4 and 6, since they have no common factors and therefore are not divisible by each other.

To learn more about Posets: brainly.com/question/31994349

#SPJ11

Example of the range of a function is given as follow:

f(x) = 2x + 1 , x∈N, x < 5 then its range is equal to { 3, 5, 7, 9}.

As given in the question,

Range of any given function is defined as collection of all the output values of the given function.

Let us consider an example to represent the range of the given function:

f(x) = 2x + 1 where x ∈ N , x < 5

Here x belongs to natural numbers less than 5 which implies x is equal to 1, 2, 3, 4.

Substitute the values of x to get the range (output values ).

f(1) = 2(1) + 1

    = 3

f(2) = 2(2) + 1

     = 5

f(3) = 2(3) + 1

     = 7

f(4) = 2(4) + 1

     = 9

Range of f(x) = { 3, 5, 7, 9 }.

Therefore, the range of any function is its output values example

f(x) = 2x + 1 , x ∈ N , x < 5 have range = { 3,5,7,9}.

Learn more about range here

brainly.com/question/28135761

#SPJ4

Answer:

3

Step-by-step explanation:

was

The probability that a randomly selected car will require exactly 30 minutes to service is approximately 0.0588 or 5.88%.

To find the probability that a randomly selected car will require exactly 30 minutes to service, we need to determine the probability density function (PDF) of the uniform distribution.

In a uniform distribution, the PDF is constant within the given interval and zero outside of it. The interval for this problem is between 21 and 38 minutes.

Since the distribution is uniform, the PDF is given by:

f(x) = 1 / (b - a)

where a is the lower bound of the interval (21 minutes) and b is the upper bound of the interval (38 minutes).

Plugging in the values:

f(x) = 1 / (38 - 21) = 1 / 17

Now, to find the probability that a randomly selected car will require exactly 30 minutes, we need to calculate the area under the PDF curve at x = 30.

The probability is equal to the value of the PDF at x = 30:

P(X = 30) = f(30) = 1 / 17 ≈ 0.0588

Therefore, the probability that a randomly selected car will require exactly 30 minutes to service is approximately 0.0588 or 5.88%.

Learn more about probability here:

https://brainly.com/question/25870256

#SPJ11