Answer:
Step-by-step explanation:
i) If p is inversely proportional to q³, this is expressed as p ∝ q³
p = k/q³ where q is the proportionality constant.
Given p = 27 and q = 3
Substitute this values into the formula
27 = k/(3)³
27 = k/27
k = 27×27
k = 729
Substitute k = 1 into the formula
p = 729/(q)³
Hence the formula which expresses p in terms of q is p = 729/q³
ii) If r is directly proportional to q, it is expressed as r ∝ q
r = kq
If r = 10 and q = 2
Substitute
10 = 2k
k = 10/2
k = 5
The equation becomes
r = 5q... 1
From 1) p = 729/q³
q³ = 729/p
q = 9/³√p
q = 9/p^1/3....2
Substitute equation 2 into 1
r = 5(9/p^1/3)
r = 45p^-1/3
Compare r = 45p^-1/3 with r = kp^n
k = 45 and n = -1/3
If Ill m, solve for x and y.
(7y - 20" (5x - 38)
(3x - 4)
Answer:
Solve for x = 17
Solve for y = 9
The value of x and y from the figure are 17 and 7 respectively
From the given diagram, we are told that I ll m, hence:
5x - 38 = 3x - 4 (alternate interior angle)Get the value of x
5x-3x = -4 + 38
2x = 34
x = 34/2
x = 17
Also from the triangle:
7y - 20 + 5x - 38 = 90
7y + 5x -58 = 90
7y + 5(17) = 90 + 58
7y + 85= 148
7y = 148 - 85
7y = 63
y = 63/7
y = 9
Hence the value of x and y from the figure are 17 and 7 respectively
Learn more here: https://brainly.com/question/14067960
Which trigonometric functions have the same maximum value?
This is a list of trigonometric functions with the same maximum value:
(A) y = arcsinx and y = cos x
What are trigonometric functions?
The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths.
They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.
There are six popular trigonometric functions for an angle.
Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
So, the following equations give us the following maximum values:
arcsinx = -1 to 1
arccosx = -1 to 1
arctanx = -pi/2 to pi/2
arcsecx = ∞
Arcsinx and Arccosx are trigonometric functions that have the same maximum value.
Therefore, this is a list of trigonometric functions with the same maximum value:
(A) y = arcsinx and y = cos x
Know more about trigonometric functions here:
https://brainly.com/question/25618616
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Complete question:
Which trigonometric functions have the same maximum value?
A. y = arcsinx and y = arccosx
B. y = arcsinx and y = arctanx
C. y = arctanx and y = arcsecx
D> y = arccosx and y = arcsecx
If Rindou has 20 apples and Ran has 48 apples,how old is Rindou’s dog ?
!GIVING BRAINLIST! PLEASE HELP
Drag the labels to the correct location on the table. Each label can be used more than once.
Identify the correct rhyme scheme for each excerpt.
abab
abcb
aabb
Answer:
For the first excerpt, the rhyme scheme is ABAB
For the second excerpt, the rhyme scheme is ABCB
For the third it is, AABB
For the Fourth it is, ABAB
For the Fifth it is, ABCB
Step-by-step explanation:
Hope this helped
A brainliest is always appreciated.
Z(y+8)-6(y+8) factor out the gcf
Answer:
A quadratic inequality is an equation of second degree that uses an inequality sign instead of an equal sign. The solutions to quadratic inequality always give the two roots. The nature of the roots may differ and can be determined by discriminant (b2 – 4ac).
Pls Help Asap. Please, will mark BRAINLIEST
Answer:
[tex]30\ \ \ \ \ 12\ \ \ \ \ 24\ \ \ \ \ 12[/tex]
Step-by-step explanation:
[tex]Because\ Gerry\ makes\ a\ scale\ drawing\ of\ the\ backyard\ using\ a\ scale[/tex]
[tex]of\ 3\ contimeters\ to\ 1\ yard.\ .[/tex]
[tex]10\times3=30\ \left(Cm\right)[/tex]
[tex]4\times3=12(CM)[/tex]
[tex]8\times3=24\left(cm\right)[/tex]
[tex]4\times3=12.(GM)[/tex] [tex]\left[Acconling\ to\ the\ information\ in\ the\ picture\right][/tex]
I hope this helps you:)
A planting bed contains 0.75 tons of soil. A landscaper will apply fertilizer to the bed. The directions say to apply 1 ounce of fertilizer for every 100 pounds of soil.
How many ounces of fertilizer should the landscaper apply?
Answer:
15 ounces
Step-by-step explanation:
0.75 tons is equal to 0.75 * 2000, or 1500, pounds (1 ton is 2000 pounds). Let x represent the number of ounces of fertilizer that should be applied. Set up a proportion:
[tex] \ \frac{1}{100} = \frac{x}{1500} [/tex]
Solving this for x, we have x = 15. So the landscaper should apply 15 ounces of fertilizer.
Find 0.46% of 1000grams
Answer:
4.6 grams :)
Step-by-step explanation:
please give brainliest i only need one more crown to level up <3
have a great day!
and if this is a test, i hope you get a 100
Evaluate m+(n/1.2). If m=4.204 and n= 4.5
Hey there!
m + (n/1.2)
= 4.204 + (4.5/1.2)
= 4.204/1+ (4.5/1.2)
= 4.204/1 + 4.5/1.2
= 4.204 + 3.75
= 7.954
Therefore, your answer is: 7.954
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
!!!PLEASE HELP, ITS DUE TODAY!!!
Duane Pipe has worked at the hospital 21 out of 30 days this month. What is his ratio of days worked to total days reduced to lowest terms? In order to receive full-time benefits, he must work 3/4ths of the month or more. Did he meet the requirements?
I will give Brainliest if it’s right
Answer:
2/3
Step-by-step explanation:
he did meet the requirements
WILL GIVE BRAINLY PLEASE ANSWER THIS MATHEMATICAL QUESTION STEP BY STEP!!!!!!!
(-5 − 2) × (-3)
Answer:
-5-2 = -7 Step 1 from abaolute value quality
-7*(-3) =21 step 2 from absolute value quality
Answer:
24
Step-by-step explanation:
Start with parenthesis:
(-5 -3) x (-3)
-8 x -3
Then multiply:
-8 x -3 = 24
Suppose that y varies inversely with x. Write an equation for the inverse variation.
y = 4 when x = 6
Answer:
y = 24/x
Step-by-step explanation:
[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"y" varies inversely with "x"}}{y = \cfrac{k}{x}}\qquad \textit{we also know that} \begin{cases} y = 4\\ x = 6 \end{cases} \\\\\\ 4=\cfrac{k}{6}\implies 24=k~\hspace{10em}\boxed{y = \cfrac{24}{x}}[/tex]
how do we find the value of a variable x in an equation?
Answer:
READ BELOW
Step-by-step explanation:
To solve for x, bring the variable to one side, and bring all the remaining values to the other side by applying arithmetic operations on both sides of the equation. Simplify the values to find the result.
please solve just 7 and 9
Answer:
7. 5, 9. 2
Step-by-step explanation:
Solve for x. Enter the solutions from least to greatest.
(x + 5)2 – 64 = 0
lesser x =
greater x =
Answer:
Step-by-step explanation:
( x + 5 )² - 64 = 0
( x + 5 )² = 64
x + 5 = ± √64
x + 5 = ± 8
(1). x + 5 = - 8
x = - 13 ( lesser )
(2). x + 5 = 8
x = 3 ( greater )
Solve for x. Round to the nearest tenth, if necessary.
Answer: 20.4
Step-by-step explanation:
Solve for a:
9a-54=36
Answer:
a=10
Step-by-step explanation:
Step 1: Add 54 to both sides.
9a−54+54=36+54
9a=90
Step 2: Divide both sides by 9.
9a\9 =90\9
a=10
Answer:
a=10
Step-by-step explanation:
Add 54 to both sides. You get 9a=90. Divide both sides by 9 and you get a=10.
A jar contains 550 beans. Of all the beans, 2/5 are white beans and the rest are navy beans. What is the ratio of white beans to navy beans? How many white and navy beans are in the jar?
Find the solution to the inequality 3x≥20
Answer:
x≥20/3
Step-by-step explanation:
divide both sides by 3
3x/3≥20/3
x≥20/3
Hope this helps! Pls give brainliest!
The price of a gallon of apple cider is $7.00. The price
of eight 4.23 ounce juice boxes is $2.39.
Peter wants to have at least a gallon of either only cider
or only juice. Which product is the better deal?
Answer:
Apple Cider is the better deal.
Step-by-step explanation:
1 gallon is 128 ounces.
8 times 4.23 is 33.84. So each purchase is 33.84 ounces. If you multiply 33.84 ounces by 4 you get 135.36. (I did 4 because 3 would be too little to make a gallon).
After that you need to multiply 2.39 and 4. You need to do this because it will tell you the cost. That will come out to 9.56$.
So, that is why the apple cider is a better deal, because it is 7$ and the other would be 9.56$.
Hope this helps :-)
Solve 9 × 5/8
I'm gonna give you all my points : )
Answer:
See below.
Step-by-step explanation:
9*5/8
Order of operations state that division has to be done before multiplication.
5/8=0.625
9*0.625=5.625, or 5.6
-hope it helps
Only 3/5 of the University students wanted to become math teachers if 3500 did not want to become math teachers how many university students were there?”
Answer:
8750
Explanation:
There are 5/5 math teachers in the university. 3/5 of them did not want to become math teachers which means 2/5 of the math teachers is equal to 3500.
3500=2/5
divide 3500 by 2 to get 1/5 of the math teachers.
3550/2=1750
1750 is 1/5 of the math teachers.
multiply 1750 by 5 to get 5/5 of the math teachers
1750*5= 8750
23 - 2x = 10 ??!! HELP PLSS
x = 6.5
Explanation:
[tex]\sf 23 - 2x = 10[/tex]
subtract 23 from both sides
[tex]\rightarrow \sf 23-2x-23=10-23[/tex]
simplify the following
[tex]\rightarrow \sf -2x=-13[/tex]
divide both sides by -2
[tex]\rightarrow \sf \dfrac{-2x}{-2}=\dfrac{-13}{-2}[/tex]
simplify
[tex]\rightarrow \sf x=\dfrac{13}{2}[/tex]
in decimals
[tex]\sf \rightarrow x = 6.5[/tex]
Recheck the following
[tex]\hookrightarrow \mathrm{23 - 2(6.5) = 10}[/tex]
[tex]\hookrightarrow \mathrm{23 -13 = 10}[/tex]
[tex]\hookrightarrow \mathrm{10 = 10}[/tex]
L.H.S = R.H.S thus. x = 6.5
Lucy is going to walk in a fundraising event to raise money for her school band her mother has agreed to donate 7.50$ to the school for each mile Lucy walks plus an additional 25$ write an equation that represents y, the total amount of money Lucys mother will donate if she walks x miles during the event
25=7.50x Lucy walked 3.333 miles
What is the standard form of y+4=2x-5
3: find the missing side length of the similar shapes.
Answer:
21 ft
Step-by-step explanation:
the amount of times 12 goes into 18 is 1.5
this is also true for 18 to 27
so that means
when you multiply 14 to 1.5
you get what the ? is
14 * 1.5 = 21
is is 21 ft
Help Please ASAP
Rose bought a length of copper pipe. She used ½.yard to repair a water line in her house. How much pipe does she have left? Solve this problem any way you choose.
Answer:
I need to know the total length of the pipe but she has 1/2 yard of pipe left. Whatever the total pipe length is, just divide that by 2 to get your answer.
Write the expression as a decimal:
Answer:
0.006
Step-by-step explanation:
A store sells bananas by weight. The total cost to buy 5 pounds of bananas is $3.75.
How do you correctly calculate the total cost, T, to buy 2 pounds of bananas?
Answer:
Answer
5=$3.75
3.75÷5=.75 ($.75 per banana)
.75x2=T
T=$1.50
Step-by-step explanation:
Answer:
T= 0.75
Step-by-step explanation:
5=$3.75
3.75÷5=.75 ($.75 per banana)
.75x2=T
find the distance between the points (9, 8) and (9, 3)
Answer: √
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Substitute the actual values of the points into the distance formula.
√
(
9
−
9
)
2
+
(
3
−
8
)
2
Step-by-step explanati i hope you under stand