Suppose that PR= 47. Solve for x and find the length of segments PQ and QR

Answers

Answer 1
9. 4x - 1 + 3x - 1 = 47
7x - 2 = 47
+2 +2
7x = 49

X = 7
PQ = 27
QR = 20

inbox me @ acejos0713a@mischools.org for rest

Related Questions

Emanuel used the calculations below to find the product of the given fractions. In which step did his error occur?

Answers

Emanuel made his mistake in step 1

Answer:

Emanuel made huis mistake in first step and step 1 is incorrect.

Step-by-step explanation:

The given expression is

[tex](\frac{3}{5})(\frac{4}{9})(-\frac{1}{2})[/tex]

It can be written as

[tex]\frac{3}{5})(\frac{4}{9})(\frac{-1}{2}[/tex]

Step 1: [tex](\frac{(3)(4)(-1)}{(5)(9)(2)})[/tex]

Emanuel used negative sign with both numbers 1 and 2. Therefore the first step of Emanuel is incorrect.

Step 2: [tex]\frac{-12}{90}[/tex]

Step 3: [tex]\frac{-2}{15}[/tex]

Therefore Emanuel made huis mistake in first step and step 1 is incorrect.

The value of the expression (2x^2)/(x) + x(100-15x) when x = 5 is

Answers

45 is the answer for the expression

Answer:

[tex]\dfrac{2x^2}{x} + x(100-15x)[/tex] at x=5

135

Step-by-step explanation:

Given: The expression [tex]\dfrac{2x^2}{x} + x(100-15x)[/tex]

This is rational expression of variable x.

Put x=5 into the expression and then simplify

[tex]\Rightarrow \dfrac{2\cdot 5^2}{5} + 5(100-15\cdot 5)[/tex]

[tex]\Rightarrow 2\cdot 5 + 5(100-75)[/tex]

[tex]\Rightarrow 2\cdot 5 + 5\cdot 25)[/tex]

[tex]\Rightarrow 10+125[/tex]         (Addition of two integer)

[tex]\Rightarrow 135[/tex]

Hence, The value of given expression is 135

A company is creating a box without a top from a piece of cardboard, but cutting out square corners with side length x.



Which expression can be used to determine the greatest possible volume of the cardboard box?

(x−10)(x−30)x

(10−2x)(30−2x)x

(10−x)(30−x)x

(30x−10)(10x−30)

Answers

Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box

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

The original width is 10 inches. The width reduces to 10-2x inches after we cut off the top two corners of the rectangle. We can think of it as taking 10 and subtracting off two copies of x like so: 10-x-x = 10-2x

Similarly, the length goes from 30 inches to 30-2x inches. This time we're taking off the top and bottom corners (focus on either side it doesn't matter). 

The height of the box is x inches due to this portion being folded up. 

Volume of box = (width)*(length)*(height)
Volume of box = (10-2x)(30-2x)x

Note: the units for the answer are in cubic inches which can be written as "in^3" (inches cubed). 

Answer:

(10−2x)(30−2x)x

Step-by-step explanation:

I know how to explain it, but the other person's answer already has a good explanation. I'm just confirming this to be correct! :D

What are the explicit equation and domain for a geometric sequence with a first term of 4 and a second term of -8?

Answers

I believe the answer is;

an = 4(−2)n − 1; all integers where n ≥ 1 

Answer:

The explicit equation for the given geometric sequence is [tex]a_n=4(-2)^{n-1}[/tex]. The domain for the geometric sequence is all positive integers except 0.

Step-by-step explanation:

It is given that the first term of the geometric sequence is 4 and the second term is -8.

[tex]a_1=4,a_2=-8[/tex]

The common ratio for the sequence is

[tex]r=\frac{a_2}{a_1}=\frac{-8}{4}=-2[/tex]

The explicit equation for a given geometric sequence is

[tex]a_n=ar^{n-1}[/tex]

where, a is first term, n is number of term and r is common ratio.

The explicit equation for the given geometric sequence is

[tex]a_n=4(-2)^{n-1}[/tex]

Here n is the number of term. So, the value of n is must be a positive integer except 0.

Therefore the domain for the geometric sequence is all positive integers except 0.

Someone please help

What is the vertex of YVT

A) Q
B) V
C) Y
D) T

Answers

the vertex of YVT  is V

answer
B) V

Answer:

The required vertex of ∠YVT is V

Step-by-step explanation:

To find : Vertex of ∠YVT

Vertex of an angle is defined as the point about which the corresponding angle is formed or measured.

Also, the angle is formed when two rays meet or intersect is each other. so the point of intersection at which the angle is formed is called the vertex of the angle thus formed.

Now, we need to find the vertex of ∠YVT

First check by which two lines the given ∠YVT is formed.

Now, from the diagram ∠YVT is formed by meeting of the lines YV and TV

And the point of meet is V therefore, the angle is formed at V

Hence, The required vertex of ∠YVT is V

CHECK MY ANSWERS PLS!!

Answers

Yes your question is correct good job
Problem 1 is correct. See figure 1 (attached) for the graphs. You'll see that h(x) has the largest y intercept.

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

Problem 2 is correct. The rates of change for f(x), g(x) and h(x) respectively are: 16, -0.5, 12 (in that order)

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

Problem 3 is correct. The function f(x) has at most 3 x intercepts. The function g(x) visually is showing 4 x intercepts. For h(x), we have 2 x intercepts on the interval [0,2pi]. 

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

Problem 4 is incorrect. The answer is actually choice D) f(x) and h(x) since they are both trig functions with the same min and max (they hit the peaks and valleys at the same y values). Note how one function is merely a phase shift of the other. See figure 2 (attached).

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

Problem 5 is incorrect. The answer is h(x) because the lowest point is (1,-6). See figure 3 (attached). The point D = (1,-6) is the lowest point. 

Brody is purchasing some tools for his workshop. He has a budget of $120 and needs to buy at least 14 tools. Each hammer costs $10, and each wrench costs $6.

Answers

He bought 9 hammers and 5 wrenches :). 10(9)+6(5)=120

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x------> the number of hammers

y------> the number of of wrenches

we know that

[tex]10x+6y\leq 120[/tex] -----> inequality A

[tex]x+y\geq 14[/tex] -----> inequality B    

using a graphing tool

The solution of the system of inequalities is the shaded area  

see the attached figure


Who was a Mexican american who fought for Texan independence from mexico and later became a Texas senator.

Answers

The answer is Juan Seguin. He was a political and military character of the Texas Revolution serving to establish the independence of Texas. Several places and institutes are named in his integrity, as well as the county seat of Seguin in Guadalupe County, Juan Seguin Monument in Seguin, the Juan N. Seguin Memorial Interchange in Houston, World War II Liberty Ship SS Juan N. Seguin, and Seguin High School in Arlington.

Let sin a = 12 13 with a in qii and sin b = − 15 17 with b in qiii. find sin(a + b), cos(a + b), and tan(a + b)

Answers

sin(A) = 15/17 15^2 + x^2 = 17^2 17^2 - 15^2 = x^2 289 - 225 = x^2 64 = x^2 8 = x 
cos(A) = -8/17 
------------ 
QIII sin(B) = -4/5 (-4)^2 + x^2 = 5^2 5^2 - (-4)^2 = x^2 25 - 16 = x^2 9 = x^2 3 = x 
cos(B) = -3/5 ------------------- knowing the identity ; sin(A+B) = sin(A) cos(B) + cos(A) sin(B) sin(A+B) = (15/17) (-3/5) + (-8/17) (-4/5) sin(A+B) = (-9/17) + (32/85) sin(A+B) = (-13/85) 

knowing the identity ; cos(A+B)=cos(A) cos(B) - sin(A) sin(B) cos(A+B) = (-8/17) (-3/5) - (15/17) (-4/5) cos(A+B) = (24/85) + (12/17) cos(A+B) = (84/85) 

knowing the identity ; tan(A+B) = sin(A + B) / cos(A + B) tan(A+B) = (-13/85) / (84/85) tan(A+B) = (-13/84)
Final answer:

The sin(a + b), cos(a + b) and tan(a + b) for angles a and b where sin a = 12/13 and sin b = -15/17 respectively, can be calculated using the formulas for the sine, cosine, and tangent of the sum of two angles. The results are -252/221 for sin(a+b), 56/221 for cos(a+b) and -4.5 for tan(a+b).

Explanation:

The given sin values represent the sides of the right triangles in terms of opposite/hypotenuse. Given we are in the second and third quadrants, where cos values are negative, we can use Pythagoras' Theorem, for example, to find cos a = -√(1 - sin²a) = -√(1 - (12/13)²) = -5/13 and analogously, we obtain cos b = -√(1 - sin²b) = 8/17.

Using the formulas for the sine, cosine, and tangent of the sum of two angles:

sin (a + b) = sin a cos b + cos a sin b, we obtain sin(a + b) = 12/13*(-8/17) + 5/13*(-15/17) = -252/221.For cos (a + b) = cos a cos b - sin a sin b, cos(a + b) = -5/13*-8/17 - 12/13*-15/17 = 56/221.And lastly for tan (a + b) = sin (a + b) / cos (a + b), tan(a + b) = -252/221 / 56/221 = -4.5.

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True or false: according to the empirical rule, 95% of the data is within three plus or minus standard deviations of the mean.

Answers

your answer is false


An equation has solutions of m = –5 and m = 9. Which could be the equation?


Answers

Answer:

[tex]y=m^2-4m-45[/tex]

Step-by-step explanation:

An equation has solutions of m = –5 and m = 9

WE are given with the solution. Lets write the solution as factors

When x=a is a solution then factor is (x-a)

[tex]m=-5[/tex] is a solution. change the sign of the solution while writing factor. factor is (m+5)

[tex]m=9[/tex] is a solution, factor is (m-9)

we use the factors to find the equation

[tex]y=(m+5)(m-9)[/tex]

Multiply the factors using FOIL method

[tex]y=m^2-9m+5m-45[/tex]

[tex]y=m^2-4m-45[/tex]

If p(a|b) = 0.35, p(b) = 0.75 and p(a) = 0.44 are the events a and b independent ?

Answers

Final answer:

Two events A and B are considered independent if the probability of A given B (P(A|B)) is equal to the probability of A, and the probability of B given A (P(B|A)) is equal to the probability of B. In this case, events a and b are not independent.

Explanation:

Two events A and B are considered independent if the probability of A given B (P(A|B)) is equal to the probability of A, and the probability of B given A (P(B|A)) is equal to the probability of B.

In this case, if p(a|b) = 0.35, p(b) = 0.75, and p(a) = 0.44, we can determine if events a and b are independent by comparing the given probabilities.

To check if events a and b are independent, we need to find p(a|b) and compare it to p(a), and find p(b|a) and compare it to p(b).

p(a|b) = 0.35 means that the probability of event a occurring given that event b has occurred is 0.35. Since p(a|b) is not equal to p(a), events a and b are not independent.

2.Tumford the cats ate 1 5/6 pounds of cat food last week. This week, he ate 3/4 pounds less. How much cat food did he eat this week?

Answers

1 1/12 pounds of cat food. (One and one-twelfths)

Determine if conjecture: True or False

The difference between two negative numbers is always negative

Answers

we can prove it false with a counter-example


-4-(-2)=-4+2=-2, true
-2-(-4)=-2+4=2, not negative, that's our counterexample


false, the question sais 'always' but we found at least 1 instance where it is false and therfor it is a false statement

False, because the difference between two negative numbers is not always negative.

Here,

Given that, The difference between two negative numbers is always negative.

We have to prove this statement is true or false.

What is Negative number?

In the real number system, a negative number is a number that is less than zero.

Now,

We can prove it false with a counter example.

Let two negative number -6 and -8.

Hence, difference between -6 and -8 is,

⇒-6 - ( -8 )

⇒-6 + 8

⇒2

it is not negative number.

Hence, the difference between two negative numbers is not always negative.

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The table shows the steps for solving the given inequality for x.

7x + 16 < −5(4 − 5x)

Select the reason for each step from the drop-down menus. ​

7x + 16 < − 5(4 − 5x) - Given ​

7x + 16 < −20 + 25x - Distributive Property ​

16 < −20 + 18x - (Choose)

36 < 18x - (Choose)

2 < x - (Choose)

Answers

Answer:

Subtraction (addition) property of inequalityAddition property of inequalityDivision property of inequality

Step-by-step explanation:

You want the reasons for each of the final three steps in the solution of the inequality 7x +16 < -5(5 -5x).

Steps

2. 7x +16 < -20 +25x . . . . . . . given step 2

3.  16 < -20 +18x . . . . . Subtraction property of inequality

7x was subtracted from both sides

4.  36 < 18x . . . . . . . . . Addition property of inequality

20 was added to both sides

5.  2 < x . . . . . . . . . . . . Division property of inequality

both sides were divided by 18

__

Additional comment

Subtraction of 7x is the same as adding -7x, so you can say the reason for step 3 is either of "subtraction property" or "addition property" The same would be true of step 4.

To figure this out, you compare the inequality on each line with the one before, and determine what was changed. If the same thing is done to both sides of the inequality (addition, subtraction, multiplication, division), the reason is the corresponding property of inequality.

The multiplication and division properties of inequality tell you to reverse the comparison symbol when the factor used is negative. Here, the factor is 18, a positive number, so the inequality symbol remains untouched.

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how do I factor (x^2 + 1)^1/2 +2(x^2 + 1)^1/2

Answers

[tex](x^{2} + 1)^{ \frac{1}{2}} + 2((x^{2} + 1)^{ -\frac{1}{2}}) \\\\ Take \ out \ (x^{2} + 1)^{ \frac{1}{2}} \ like \ so: \\\\ (x^{2} + 1)^{ \frac{1}{2}}(1 + 2(x^{2} + 1)^{ -1}) \\\\ = (x^{2} + 1)^{ \frac{1}{2}}(1 + \frac{2}{(x^{2} \ + \ 1)}) \\\\ = (x^{2} + 1)^{ \frac{1}{2}}(\frac{2 \ + \ (x^{2} \ + \ 1)}{(x^{2} \ + \ 1)}) \\\\ = (x^{2} + 1)^{ \frac{1}{2}}(\frac{(x^{2} \ + \ 3)}{(x^{2} \ + \ 1)}) \\\\ = \frac{(x^{2} \ + \ 1)^{ \frac{1}{2}}(x^{2} \ + \ 3)}{(x^{2} \ + \ 1)} \\\\[/tex]
This is what I would think to do with such an expression;
It should be alright to leave it as it is on the last line as this should be its simplest form;
But, you could write it out as:
[tex]\frac{(x^{2} \ + \ 3)}{(x^{2} \ + \ 1)^{ \frac{1}{2}}} \\\\ = \frac{(x^{2} \ + \ 3)}{ \sqrt{(x^{2} \ + \ 1)}}[/tex]

Each side of this pentagon is the same length.



How many lines of symmetry does this pentagon have?





A.
0


B.
2


C.
3


D.
5




Answers

The answer to this is D

michael found a job listed in the classified ads that pays a yearly salary of $57.3k what is the weekly salary based on this annual salary

Answers

Since there are 52 weeks in a year, we have 52 weeks=1 year and 
57.3*1000 (k means 1,000) = 573,000/1 year. Multiplying it by 1 year/52 weeks (to cancel the years), we get 573000/52=around $11019.23 as our answer

30 increased by 3 times the square of a number

Answers

assume the number is y

30 + 3(y x y), let say y is 2
30 + 3(2 x 2)
30 + 3(4)
30 + 12 = 42

The number is 30+ 3x².

What is square of a number?

When an integer is multiplied by itself, the resultant number is known as its square number. Basically, a square number is a number that is obtained by the product of two same numbers. In geometry, the area of a square with 'n' as the side length (where n is an integer) is the finest example of a square number.

When an integer is multiplied by the same integer, the resultant number is known as a square number. For example, when we multiply 5 × 5 = 52, we get 25. Here, 25 is a square number. Square numbers are always positive, they cannot be negative because when a negative number is multiplied by the same negative number, it results in a positive number.

let the number be x

Now, 3 times square of a number

3x²

and, 30 increased

=30+ 3x²

Hence, the number is 30+ 3x².

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Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a constant rate of 7 cubic feet per minute. if the pool has radius 5 feet and height 8 feet, what is the rate of change of the height of the water in the pool when the depth of the water in the pool is 5 feet?

Answers

Final answer:

The rate of change of the height of the water in the pool when the depth is 5 feet is approximately 0.089 feet per minute.

Explanation:

To find the rate of change of the height of the water in the pool, we can use the formula for the volume of a cylinder.

The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.

So, when the depth of the water is 5 feet, we can find the rate of change of the height by differentiating the volume equation with respect to time.

Let's calculate it:

V = π(5^2)(h)

dV/dt = π(25)(dh/dt)

Since the volume is increasing at a constant rate of 7 cubic feet per minute, we have dV/dt = 7.

Substituting the given values, we have:

7 = π(25)(dh/dt)

dh/dt = 7/π(25)

So, the rate of change of the height of the water in the pool when the depth is 5 feet is approximately 0.089 feet per minute.

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Final answer:

To find the rate of change of the height of the water in the pool, we can use the concept of related rates. The rate of change is approximately 0.089 cubic feet per minute.

Explanation:

To find the rate of change of the height of the water in the pool, we can use the concept of related rates. Let's call the height of the water in the pool 'h' and the rate of change of the height 'dh/dt'. We know that the volume of water in the pool is flowing at a constant rate of 7 cubic feet per minute, therefore the rate of change of the volume of water in the pool is also constant at 7 cubic feet per minute. The volume of a cylinder is given by V = πr^2h, where r is the radius of the pool and h is the height of the water. We can differentiate this equation with respect to time to find the rate of change of the volume.

dV/dt = πr^2(dh/dt)

Since the radius of the pool is constant at 5 feet and the rate of change of the volume is 7 cubic feet per minute, we can substitute these values into the equation and solve for dh/dt.

7 = π(5^2)(dh/dt)

dh/dt = 7/(π(5^2))

Therefore, the rate of change of the height of the water in the pool when the depth of the water is 5 feet is approximately 0.089 cubic feet per minute.

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The sum of two trinomials ________.

Answers

The sum of two trinomials cannot be a trinomial, it can either be a polynomial or binomial depending on the numbers given.

The answer is B, the addition of two trinomials can yeild a trinomial, binomial, or monomial

A coffee shop uses 4 liters of milk every day.If there are 15 liters of milk in the refrigerator, after how many days will more milk need to be purchased?

Answers

more milk will be needed in 3 days time

MATH HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

It would be the last answer because as you can see the line goes up for 2 hours and then goes straight for 1 hour than goes up again for 2. -The last option
Answer:  [D]:  
__________________________________________________________
"It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours."
_____________________________________________________________

The equation 1.5r+15=2.25r1.5r+15=2.25r represents the number rr of movies you must rent to spend the same amount at each movie store. How many movies must you rent to spend the same amount at each movie store?

Answers

1.5r+15=2.25r
Combine like terms: 1.5r+15-1.5r=2.25r-1.5r
15=0.75r
Get the unknown alone: 15/.75=.75/.75r
20=r or r=20 :)

round to the nearest hundred 5,503,569

Answers

Final answer:

To round 5,503,569 to the nearest hundred, observe the hundreds and the following digit. Since the following digit is a 9, round the hundreds digit up to 7 and zeros follow. The rounded number is 5,503,600.

Explanation:

To round the number 5,503,569 to the nearest hundred, we need to look at the digit in the hundreds place and the digit following it. In 5,503,569, the hundreds digit is 6, and the digit to its right is 9. According to rounding rules, if the digit right after the one we are rounding is 5 or greater, we round up. Since 9 is greater than 5, we round the hundreds place up from 6 to 7 and change all the digits to the right of the hundreds place to zero.

The final answer, therefore, is 5,503,600 when 5,503,569 is rounded to the nearest hundred.

Simplify (-a2b3)2(c2)0

Answers

The correct answer is 
                                    a4b6 I think also your question is missed up next time fix it
The expression simplified is
[tex] a^{2} b^{3} (2)c^{2} (0)[/tex]

A+b
A*b
A-b
A *divide sign*
Which one isn't closed

Answers

A *divide sign* isn't closed since there isn't a second letter or number with it

Stan can paint a wall in 40 minutes. if ted works together with stan, it takes both of them 1515 minutes to paint the same wall. how many minutes does it take if ted paints the wall alone?

Answers

If the wall is 100%=1, then Stan paints x percent of the wall in 15 minutes and Ted paints (1-x)=y percent of the wall in 15 minutes due to that they finish the wall in 15 minutes. Assuming Stan paints the wall at a uniform rate, he gets 15/40=3/8=0.375 of the wall done in 15 minutes, meaning that Ted paints 1-0.375=0.625 of the wall in 15 minutes. We want to know how long it takes for himself to get the wall done, so we have that if Ted finishes the wall in z minutes, 0.625/15*z=1 (since 0.625/15 is how much he gets done in 1 minute). Dividing both sides by (0.625/15), we get z=15/0.625=24

Simplify. −7i⋅(−8i)

−56

−56i

56i

56

Answers

Your answer is A. -56
Hope this helps!
A. -56

This should be your correct answer!

Hope this helps!

The distance around the outside of Cedar Park is 0.8 mile. Joanie ran 0.25 of the distance during her lunch break. How far did she run?

Answers

She ran 0.2 miles. You multiply the 0.8 by 0.25 (because you want to find 1/4 of the total) to get 0.2. 


Hope I helped!

Answer: 0.2

Step-by-step explanation:

To calculate the distance that Joanie run during her lunch break is necessary to multiply the total distance around the outside of Cedar Park (0,8) by the 1/4 of the total distance that she ran (0,25).

So, the expression is:

0,25 . 0.8 = 0,2

Joanie run 0,2 miles during  her  lunch break.

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