If a /b = p/q, then (a + b)/b = b/(a+d) exists FALSE.
What is Componendo Property of fractions?Let a, b, c, d be the four numbers, then
if a : b = c : d then (a + b) : b :: (c + d) : d.
If a : b :: c : d then (a - b) : b :: (c - d) : d.
Given equation,
[tex]$\Rightarrow \frac{a}{b}=\frac{p}{q}$$[/tex]
Adding 1 on both sides of the equation, we get
[tex]$&\Rightarrow \frac{a}{b}+1=\frac{p}{q}+1 \\[/tex]
[tex]$&\Rightarrow \frac{a+b}{b}=\frac{p+q}{q}[/tex]
This rule exists also comprehended as the Componendo property of fractions.
Therefore, [tex]$\frac{a+b}{b}=\frac{p+q}{q}$$[/tex] then a = pb + q but the hypothesis says that
a = (p+b) / q.
If a /b = p/q, then (a + b)/b = b/(a+d) exists FALSE.
To learn more about the Componendo property of fractions refer to:
https://brainly.com/question/2933117
#SPJ9
Information about a play took up 1/3 of the pages in the program. Information about the actors took up 1/4 of the remaining pages. Information about the director, the producer, and the designer took up 2 pages, the same number of pages devoted to the actors. How many pages were there in the program? help pls
Answer: 4
Step-by-step explanation:
x - (1/3)x - (1/6)x = 2
(6x - 2x - x)/6 = 2
3x/6 = 2
x=4
Choose the number (X) that should come next in this series (1, 2, 6, 15, X, 56, 92)
Answer:
31
Step-by-step explanation:
The numbers in the sequence increase by (n+1)^2. So the sequence is (1, 1+1^2 (which is 2), 2+2^2 , 6+3^2, 15+4^2, 31+5^2, 56+6^2) and the fifth term of that sequence is 15+4^2, which is 31
The unknown number(x) in the series is 31.
The given series 1, 2, 6, 15, x, 56, 92.
We need to find the value of x.
What is a series?In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity. The study of series is a major part of calculus and its generalization, and mathematical analysis.
The numbers in the series increase by (n+1)².
So the sequence is 1, 1+1² (which is 2), 2+2², 6+3², 15+4², 31+5², 56+6² and the fifth term of that sequence is x=15+4²=31.
Therefore, the unknown number(x) in the series is 31.
To learn more about the series visit:
https://brainly.com/question/16415816.
#SPJ2
Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as
y
=
−
10.51
x
+
15.05
and the
r
=
−
0.45
.
The proportion of the variation in y that can be explained by the variation in the values of x is 0.2025
How to determine the proportion of the variation in y that can be explained by the variation in the values of x?The complete question requires that we calculate the proportion of the variation in y that can be explained by the variation in the values of x
The given parameters in the question are:
The regression equation is reported as
y = − 10.51x + 15.05
r = − 0.45
Take the square of both sides in the equation r = − 0.45
r^2 = − 0.45^2
Evaluate the squares
r^2 = 0.2025
This represents the proportion of the variation in y that can be explained by the variation in the values of x
Hence, the proportion of the variation in y that can be explained by the variation in the values of x is 0.2025
Read more about proportion of variation at
https://brainly.com/question/17237825
#SPJ1
Find the area of the rhombus 12 5
What's the Value of X in 1/2 + X = 5/6
Answer:
x = 1/3
Step-by-step explanation:
1/2 + X = 5/6
collecting the like terms
X = 5/6 - 1/2
making one fraction on the left side by taking the common denominator
X = (5 - 3)/6
X = 2/6
devide the numerator and denominator by 2, you get
X = 1/3
Lisa is cutting a 14-inch piece of paper into 0.4-inch strips. How many strips of paper will she have when she is finished?
5.6
35
30
28
Answer:
take 14/0.4the multiply by ten both the denominator and .numerator then simplify by two your final answer will be 35
Please help me with this question <3 ASAP!
Answer:
54°
Step-by-step explanation:
Opposite angles of a parallelogram are congruent, so;
[tex]9x+9=8x+14 \\ \\ x=5 \\ \\ m\angle S=9(5)+9=54^{\circ}[/tex]
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
Angle S = 54°[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]
In a Parallelogram, opposite angles are equal, so we infer that :
[tex] \qquad❖ \: \sf \:9x + 9 = 8x + 14 [/tex]
[tex] \qquad❖ \: \sf \:9x - 8x = 14 - 9[/tex]
[tex] \qquad❖ \: \sf \:x = 5 \degree[/tex]
Next,
Measure of Angle S is :
[tex] \qquad❖ \: \sf \:9x + 9[/tex]
[tex] \qquad❖ \: \sf \:9(5) + 9[/tex]
[tex] \qquad❖ \: \sf \:45 + 9[/tex]
[tex] \qquad❖ \: \sf \:54 \degree[/tex]
[tex] \qquad \large \sf {Conclusion} : [/tex]
Angle S = 54°Heyy i just need some help with questions 29 if anyone could help me and show the work that would be amazing thank you!!
Step-by-step explanation:
if we are taking in terms of domain.. is d set of number that we can put to the function with get division by zero .. squaroot of negative number,log of zero e.t.c
A) p(x)/m(x)= 1/squaroot(x) ÷ x²-4 which we know that x²-4 must not be equal to zero
because if is equal to zero we will have division by zero, which have contradicted the hypothesis of law of domain
x²-4 =! 0
(x-2)(x+2)=!0
x=!2 or x=!-2 because if is equal to that it's has contradicted d hypothesis
the answer is all real number except -2 and -
2
B)p(m(x))=p(x²-4) =1/squaroot of x²-4
note they are two things involve we must not get division by zero and root of negative number
we have all real number expect from -2 to 2
C)m(p(x))=m(1/root of (x))=(1/root of (x))²_4)
we have 1/x-4
so the answer is all real number expect zero
219. There is a local maximum at x = 2, local minimum at x = 1, and the graph is neither concave up nor concave down.
6n−8(n+4)= what? Please help me
Answer:
-2n -32
Step-by-step explanation:
Acc. to BODMAS
we multiply first
⇒-6n - -8 x [(+4) (n)]
⇒ 6n - 8n x -32
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathsf{6n - 8(n + 4)}[/tex]
[tex]\huge\textbf{Solve: }[/tex]
[tex]\mathsf{6n - 8(n + 4)}[/tex]
[tex]\huge\textbf{Distribute \boxed{\bf -8} within the parenthesis:}[/tex]
[tex]\mathsf{= 6n - 8(n) - 8(4)}[/tex]
[tex]\mathsf{= 6n - 8n - 32}[/tex]
[tex]\huge\textbf{Combine the like terms: }[/tex]
[tex]\mathsf{= (6n - 8n) - (32)}[/tex]
[tex]\mathsf{= 6n - 8n - 32}[/tex]
[tex]\mathsf{= -2n - 32}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{{ -2n - 32}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}}[/tex]
A rectangular park had a dirt path across its diagonal that was yards long. The diagonal and the long side of the park formed an angle that measured . A person walked along the sidewalks outside the park, from the start to the end of the path, as shown by the arrows. The diagonal dirt path that cuts across the rectangular park and the sidewalks outside the park form a right triangle. The dirt path is the hypotenuse and it is labeled 100 yards. The start of the sidewalk is adjacent to the 30-degree angle, and it is labeled X. The end of the path is opposite the 30-degree angle, and it is labeled Y. Which expression shows the distance that he walked?
Trigonometry functions are functions that relate two sides of a given triangle with one of its included angles.
The expression that shows the distance that he walked = x + y + 100
= 87 + 50 + 100
= 237 yards
Trigonometry functions are functions that relate two sides of a given triangle with one of its included angles. The required function may be a sine function, a cosine function, or a tangent function.
Such that;
Sin θ = [tex]\frac{Opposite}{Hypotenuse}[/tex]Cos θ = [tex]\frac{Adjacent}{Hypotenuse}[/tex]Tan θ = [tex]\frac{Opposite}{Adjacent}[/tex]The given question can be solved by applying the appropriate trigonometric function.
So that to determine the value of x, we have:
Cos θ = [tex]\frac{Adjacent}{Hypotenuse}[/tex]
Cos 30 = [tex]\frac{x}{100}[/tex]
⇒ x = 100 cos 30
= 100 x 0.866
x = 86.60
Thus, the start of the sidewalk is approximately 87 yards.
To determine the value of sidewalk y, we have:
Sin θ = [tex]\frac{Opposite}{Hypotenuse}[/tex]
Sin 30 = [tex]\frac{y}{100}[/tex]
⇒ y = 100 x Sin 30
= 100 x 0.5
y = 50
Thus the sidewalk which represents the end of the path is 50 yards.
Therefore, the total distance that he walked = 100 + 87 + 50
= 237 yards
The expression that shows the distance that he walked = x + y + 100
= 87 + 50 + 100
= 237 yards
For more clarifications on trigonometry, visit: https://brainly.com/question/13729598
#SPJ 1
Need help please...
Step-by-step explanation:
Here! ●□●□●□●□● THIS IS THE ANSWER BRO
Please help i cant seem to figure this out
Answer:
A
Step-by-step explanation:
First we need to solve the inequality: -3b-15>-24
-3b-15>-24
-3b>-9
b<3 (we divided by a negative so we flip the sign)
This means that we have an empty circle and the arrow pointing left
[tex]\boldsymbol{\sf{-3b-15 > -24 }}[/tex]
Add 15 to both sides.
[tex]\boldsymbol{\sf{-3b > -24+15 \ \longmapsto \ \ \ [Add \ -24+15] }}[/tex]
[tex]\boldsymbol{\sf{ -3b > -9}}[/tex]
Divide both sides by −3. Since −3 is < 0, the inequality direction is changed.
[tex]\boldsymbol{\sf{b < \dfrac{-9}{-3} \ \ \longmapsto \ \ [Split] }}[/tex]
[tex]\red{\boxed{\boldsymbol{\sf{Answer \ \ \longmapsto \ \ \ b < 3}}}}[/tex]
Alternative "A"ヘ( ^o^)ノ＼(^_^ )If you want to learn more about mathematics, I share this link to complement your learning:
https://brainly.com/question/23110552
How many pairs of two digit natural numbers have a difference equal to 50
The number exists 99, then 99 - 49 = 50
Therefore, the pair of two-digit numbers exist between 99 and 49.
What is the difference?In math, the word difference exists as the outcome of subtracting one number from another.
Let the first pair of two-digit numbers be xy and the second pair of numbers be yx.
we want a two-digit number, a two-digit number begins from 10 and ends with a two-digit number that exists 99.
Let the difference of 50 exists possible when we take the biggest two-digit number
Therefore, the number exists 99
99 - 49 = 50
Therefore, the pair of two-digit number exists 99 and 49.
To learn more about differences refer to:
https://brainly.com/question/14335054
#SPJ9
Sodas cost $1.75 each. Write a direct
proportional equation using (s) for sodas and
(t) for total cost.
Answer:
t = 1.75(s)
Step-by-step explanation:
I gotchu
Which expression has a conflict of 10 and a constant of5
The expression that has a coefficient of 10 and constant of 5 is 10x + 5.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
A coefficient is a number or any symbol representing a constant value that is multiplied by a variable. A constant is a value or number that never changes in expression.
The expression that has a coefficient of 10 and constant of 5 is 10x + 5.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Simplify. ‒36 ÷ (27 ÷ 3 ∙ 2)
The simplified value of expression -36/(27/3*2) is -8.
Given an expression -36/(27/3*2).
We are required to find the simplified value of given expression. To simplify the expression we need to use addition,subtraction,multiplication, division, brackets, etc. We can say that we have to use BODMAS in order to find the simplified value of expression.
Expression is combination of numbers, symbols, coefficients, determinants, indeterminants, fraction,algebraic operations,etc. usually not found in equal to form.
The given expression :
=-36/(27/3*2) (Multiplying 3 and 2 first)
=-36/(27/6)
=(-36*2)/9 (Invert the fraction given in denominator)
=-72/9 (Multiplying -36 to 2)
=-8
Hence the simplified value of expression -36/(27/3*2) is -8.
Learn more about expression at https://brainly.com/question/723406
#SPJ1
Rebecca drew a graph with these key features:
The function is decreasing.
The left end is approaching a constant.
Which function could be represented by Rebecca’s graph?
Answer that was correct for me was: f(x) =-2(5/4)^x+3
The function that could be represented by Rebecca’s graph is f(x) =-2(5/4)^x+3
How to determine the function that could be represented by Rebecca’s graph?The properties are given as:
The function is decreasing.The left end is approaching a constant.For an exponential function to keep decreasing, one or more the following must be true:
The rate is less than 1The leading factor is negative and the rate is greater than 1For the left end of an exponential function to approach a constant, the following must be true:
The leading factor is negative and the rate is greater than 1The equation that has the above properties is f(x) =-2(5/4)^x+3
Hence, the function that could be represented by Rebecca’s graph is f(x) =-2(5/4)^x+3
Read more about exponential functions at:
https://brainly.com/question/2456547
#SPJ1
Copy the proof, mark the givens in the diagram and fill in the blanks to complete the proof
Answer:
Step-by-step explanation:
Draw UT Construction
UT = UT Reflexive Property
BT = EU Given
BU = ET Given
ΔUBT = ΔEUT SSS = SSS
<B = <E CPCTC
The bolded parts are the blanks you need to fill in.
Answer:
Draw UT construction
UT = UT reflexive property
BT = EU given
BU = ET given
ΔUBT = ΔEUT SSS = SSS
<B = <E CPCTC
hope this helps!
an employee at a factory is paid $9.25 per hour plus a $8.00 bonus for every 20 transformers assemble.
Answer:
Step-by-step explanation
Answer:
$13.47 per hour
Step-by-step explanation:
Total earnings = 9.25 (h) + 8 (t/20)
Where h is the number of hours and t is the number of transformers.
Since he worked for 36 hours and assembled 380 transformers:
Total earnings = 9.25 (36) + 8 (380/20)
Total earnings = 333+152 = $485
Finally, to find how much he earned per hours, we simply have to divide the result by the number of hours worked (36):
485/36 = $13.47 per hour.
Graph the polar equation r=1-3 sin 0
No graph for the polar equation because here sin 0 is 0.
According to the statement
we have given that a polar equation and we have to represent in the graph.
So, For this purpose, we know that the
The expression of a point as an ordered pair. is known as polar notation, the equation of a curve expressed in polar coordinates is known as a polar equation.
The given polar equation is
r = 1-3 sin 0
here the value of r is 0.
so, No graph is possible for the given statement
because here the value of r is 0 and for zero value there is a no graph possible.
So, No graph for the polar equation because here sin 0 is 0.
Learn more about Polar equations here
https://brainly.com/question/9363127
#SPJ1
what is the range of the function f(x) = lxl + 5 ?
Answer:
All real numbers greater than or equal to 5
Step-by-step explanation:
The range of y=|x| is all real numbers greater than or equal to 0. Adding 5 to this makes the range all real numbers greater than or equal to 5.
Evaluate the limits
[tex]x > \ln(x)[/tex] for all [tex]x[/tex], so
[tex]\displaystyle \lim_{x\to\infty} (\ln(x) - x) = - \lim_{x\to\infty} x = \boxed{-\infty}[/tex]
Similarly, [tex]\displaystyle \lim_{x\to\infty} (x-e^x) = - \lim_{x\to\infty} e^x = \boxed{-\infty}[/tex]
We can of course see the limits are identical by replacing [tex]x\mapsto e^x[/tex], so that
[tex]\displaystyle \lim_{x\to\infty} (\ln(x) - x) = \lim_{x\to\infty} (\ln(e^x) - e^x) = \lim_{x\to\infty} (x - e^x)[/tex]
You can also rewrite the limands to accommodate the application of l'Hôpital's rule. For instance,
[tex]\displaystyle \lim_{x\to\infty} (x - e^x) = \ln\left(\exp\left(\lim_{x\to\infty} (x - e^x)\right)\right) = \ln\left(\lim_{x\to\infty} e^{x-e^x}\right) = \ln\left(\lim_{x\to\infty} \frac{e^x}{e^{e^x}}\right)[/tex]
Using the rule, the limit here is
[tex]\displaystyle \lim_{x\to\infty} \frac{(e^x)'}{\left(e^{e^x}\right)'} = \lim_{x\to\infty} \frac{e^x}{e^x e^{e^x}} = \lim_{x\to\infty} \frac1{e^{e^x}} = 0[/tex]
so the overall limit is
[tex]\displaystyle \lim_{x\to\infty} (x - e^x) = \ln\left(\lim_{x\to\infty} \frac{e^x}{e^{e^x}}\right) = \ln(0) = \lim_{x\to0^+} \ln(x) = -\infty[/tex]
what is the answer for this question? i really need it
Answer:
a = 3
b = -9
c = -3
d = 22
e = 49 - 9
f = a^2 -3
Step-by-step explanation:
Please no more questions :(
3,480
A)348 hundreds
B)3,480 ones
C)3 x 1,000+ 4 x 100 + 8 x 80
D)3 thousands and 80 tens
C)3 thousands and 48 tens
Answer
B
explanation
3480ones = 3480x1=3480
4. Find the value of x & y from the following equation 4x+5y=90, x+y=20 a. 10, 15 b. 10, 5 c. 10, 8 d. 10, 10
Answer:
d. 10, 10
Step-by-step explanation:
4(10)+5(10) = 40 + 50 = 90
10 + 10 = 20
Hope this helps
An equation is formed of two equal expressions. In the two of the given equations, the value of x and y are 10 and 10, respectively. The correct option is D.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the two of the equation, which can be named as,
4x+5y=90 ...... equation 1
x+y=20 ............ equation 2
Solve the second equation for x,
x + y = 20
x = 20 - y ................ equation 3
In the first equation substitute the value of x from the third equation,
4x + 5y = 90
4(20 - y) + 5y = 90
Solving the equation for y,
80 - 4y + 5y = 90
y = 90 - 80
y = 10
Substitute the value of y in the second equation, to get the value of x,
x + y = 20
x + 10 = 20
x = 20 - 10
x = 10
Hence, In the two of the given equations, the value of x and y are 10 and 10, respectively.
Learn more about Equation here:
https://brainly.com/question/10413253
#SPJ5
For the function p defined by p(m) = 2m^-4m+3, find p(1/3).
pleaseee helpp
which of the following enequalities would produce the region indicated on the graph below
Answer: C
Step-by-step explanation:
The line [tex]y=x+2[/tex] is shaded below and is solid.
This eliminates all the options except for C.
Pls answer before 8:00 pm
Answer:225 jeans.
Step-by-step explanation: What we need to do here is convert the number of jeans to a percentage. There were 25 jeans when 50 customers were surveyed and 25 is half of 50 or 50%. This means that if 450 pairs of pants are ordered half of them should be jeans. 450/2 = 225.
Assume that adults have IQ scores that are normally distributed with a mean of 105 and a standard deviation 15. Find the probability that a randomly selected adult has an IQ less than 123.
The probability that a randomly selected adult has an IQ less than 123 is ____.
Answer:
.8849 or 88.49% have score ess than 123
Step-by-step explanation:
Answer:
88.49 % have less than 123 (or .8849)
Step-by-step explanation:
123 is 18/15 = 1.2 S.D. ABOVE the mean z-score +1.2
from z- score table +1.2 this is .8849 or 88.49 %