(a)
537
Given that -+-+-=0, express a in terms of b and c.
a b c
Ar (9² - s)
Make q the subject of the formula p:
a
(b)
Answers
Answer:
Here ia your answer
Hope it helps
Answer:
see explanation
Step-by-step explanation:
(a)
[tex]\frac{5}{a}[/tex] + [tex]\frac{3}{b}[/tex] + [tex]\frac{7}{c}[/tex] = 0 ( multiply through by abc to clear the fractions )
5bc + 3ac + 7ab = 0 ( subtract 5bc from both sides )
3ac + 7ab = - 5bc ( factor a out of each term on the left side )
a(3c + 7b) = - 5bc ← divide both sides by (3c + 7b)
a = - [tex]\frac{5bc}{3c+7b}[/tex]
---------------------------------
(b)
p = [tex]\frac{\sqrt{4r(q^2-s)} }{q}[/tex] ( multiply both sides by q )
pq = [tex]\sqrt{4r(q^2-s)}[/tex] ← square both sides
(pq)² = 4r(q² - s) ← distribute
p²q² = 4rq² - 4rs ← subtract 4rq² from both sides
p²q² - 4rq² = - 4rs ( multiply through by - 1 )
4rq² - p²q² = 4rs ← factor out q² from each term on the left side
q²(4r - p²) = 4rs ← divide both sides by (4r - p²)
q² = [tex]\frac{4rs}{4r-p^2}[/tex] ( take the square root of both sides )
q = ± [tex]\sqrt{\frac{4rs}{4r-p^2} }[/tex]
Related Questions
Order the numbers from least to greatest.
A) 3.41%, 0.31, 0.314, 0.3333
B) 0.3333, 0.31, 0.314, 3.41%
C) 3.41%, 0.314, 0.3333, 3.51%
D) 0.31, 0.314, 0.333, 3.41%
Answers
Answer:
a) 3.41%, 0.31, 0.314, 0.3333
PLS HELP WILL MAKE FIRST RIGHT ANSWER BRAINLIEST
Answers
Answer:
OPTION A:0.85M+2.50.
Step-by-step explanation:
SEE IMAGE FOR SOLUTION
PLS HELP WILL MAKE FIRST RIGHT ANSWER GETS BRAINLIEST
Answers
Answer:
Subtract four to get the next term.
Step-by-step explanation:
66 - 4 = 62
62 - 4 = 58
58 - 4 = 54
54 - 4 = 50
50 - 4 = 46
46 - 4 = 42
42 - 4 = 38
Answer:
B
Step-by-step explanation:
Subtract 4
what's the Answer ?
[tex] \sqrt{ \dfrac{225}{9} } [/tex]
Answers
Answer:
Solution given;
[tex] \sqrt{ \dfrac{225}{9} } [/tex]
[tex] \sqrt{ \dfrac{15²}{3²} } [/tex]
[tex] \sqrt{ (\dfrac{15}{3} )²} [/tex]
[tex]\dfrac{15}{3}[/tex]
=5
Answer:
First, simplify the content under root:
[tex]\sqrt{\frac{225}{9}} =\\\\\sqrt{25}}} \\[/tex]Now, use the following identity:
[tex]\sqrt{a^2} = |a|[/tex] = ± aLast, we get:
√25 = √5² = ± 5Solve for x.
6x + 2 = 14
x = 12
x = 2 2/3
x = 2
x = 1 3/4
Answers
Answer:
x=2
Step-by-step explanation:
6x + 2 = 14
Subtract 2 from each side
6x+2-2 = 14-2
6x= 12
Divide by 6
6x/6 = 12/6
x=2
Answer: x=2
Step-by-step explanation:
Factor this polynomial completely.
x2 - 81
Answers
(x - 9) (x + 9)
It’s me again lol
Find the area of the following quadrilateral.
Answers
Answer: 480
Step-by-step explanation:
The quadrilateral ABCD is a trapezium
The formula for area of trapezium is
Area of trapezium = 1/2 × (parallel side 1 + parallel side 2) × h
So we can place the given values into the formula.
We get
Area = 1/2 × (9+15) × 40
Area = 1/2 × 24 × 40
By multiplying all of them we get
Area = 480cm
Sara can travel 23 feet in 11 hours. please calculate Saras speed rate of speed
Answers
Answer: The answer would be 2.09 feet per hour
Step-by-step explanation:
Divide 23ft by 11 which gives us 2.09ft.
there for the answer is 2.09 feet.
to double check, multiply 2.09 by 11 which will give 22.99 which is close to 23 feet.
Pls Solve
4x+16=x+166
Answers
Answer:
50
Step-by-step explanation:
4x+16=x+166
-x -x
3x+16=166
-16 -16
3x=150
/3 /3
x=50
Answer :
• 50
Step-by-step explanation:
4x + 16 = x + 1664x - x = 166 - 16 (Subsituation )3x = 150x = 150 / 3x = 50 !List all the intercepts for the graph shown and determine whether the graph is symmetric with respect to he x-axis, y-axis, origin, or none of these.
X-int: (___,0).
Y-int: (0,___).
Is it symmetric about the x-axis: yes/no
Is it symmetric about the y-axis: yes/no
Is it symmetric about the origin: yes/no
Answers
(-2, 0) (0, 0) and (2, 0)
There is a y intercept at (0, 0)
Symmetric about x axis: No
Symmetric about y axis: No
Symmetric about the origin: Yes
can someone please help me with this?
Answers
I think the given figure will help you....
For her new MP3 player, Alicia wants a case that is 3 and 2/5 in. long. The online store shows case sizes in decimal measurements. What length case should she order?
A. 3.2 in.
B. 3.25 in.
C. 3.4 in.
D. 3.45 in.
Answers
Answer:
C.
Step-by-step explanation:
.
Answer:
c) 3.4 in
Step-by-step explanation:
Each morning Tess chooses either a red ribbon or a blue ribbon at random to wear in her hair. What is the probability that Tess will choose a red ribbon on both Monday and Tuesday?
Answers
Answer:
1/4 chance
Step-by-step explanation:
First you need to find the probability of Tess choosing a red ribbon.
1/2
Then you need to multiply that probability by the reciprocal of 2, which is 1/2
1/2 x 1/2 = 1/4
Solve for A if
T = 3.14 and r = 3.
A = ar2
Enter the number that belongs in the green box
A = [?]
Answers
Answer:
28.26 is the correct answer
căn 0.45*0.3*6
pls help
thanks you
Answers
Answer:
0,81
Step-by-step explanation:
0.45 x 0.3 x 6
= 0,135 x 6
= 0,81
[tex] = \frac{81}{100} .8.1 \times {10}^{ - 1} .( \frac{9}{10} {)}^{2} [/tex]
-t = 9 (t - 10)
what is t?
Answers
t=9
EXPLANATION:
-t = 9t - 90
90 = 10t
t = 9
Answer: t = 9
Step-by-step explanation:
Given
-t = 9 (t - 10)
Expand parentheses and apply the distributive property
-t = 9 · t - 9 · 10
-t = 9t - 90
Subtract 9t on both sides
-t - 9t = 9t - 90 - 9t
-10t = -90
Divide -10 on both sides
-10t / -10 = -90 / -10
[tex]\boxed{t=9}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
write the statement factor theorem
Answers
Answer:
According to factor theorem, if f(x) is a polynomial of degree n ≥ 1 and 'a' is any real number, then, (x-a) is a factor of f(x), if f(a)=0. ... Also, we can say, if (x-a) is a factor of polynomial f(x), then f(a) = 0. This proves the converse of the theorem.
Which of the following describes h(x)=x^5-2x^3+x?
Answer choice is
A. h is an odd function
B. h is neither odd nor even
C. h is an even function
Answers
Answer:
h is an odd funtion
Step-by-step explanation:
this is because h(-x)=h(x)
Answer: A
Step-by-step explanation:
A sum of odd functions is a odd function
Proof:
[tex]h(x)=x^5-2x^3+x\\\\h(-x)= (-x)^5-2(-x)^3+(-x) \\\\=- x^5-2(-x^3)-(-x)\\\\=-(x^5-2x^3+x)\\\\=-h(x)\\\\So\ h(-x)=-h(x):\ the \ function\ h(x) \ is\ odd.\\[/tex]
4 – 2(x + 7) = 3(x + 5)
Answers
Answer:
x = -5
Step-by-step explanation:
4 – 2(x + 7) = 3(x + 5)
Distribute
4 - 2x-14 = 3x+15
Combine like terms
-2x-10 = 3x+15
Add 2x to each side
-2x-10 +2x= 3x+15+2x
-10 = 5x+15
Subtract 15 from each side
-10-15 = 5x+15-15
-25 = 5x
Divide by 5
-25/5 = 5x/5
-5 =x
Answer:
x = -5
Step-by-step explanation:
4 - 2(x + 7) = 3(x + 5)
so, let's do the multiplications. remember, when two terms are multiplied, then everything of the left is multiplied with everything on the right. and a "-" flips signs.
2(x + 7) = 2x + 14
3(x + 5) = 3x + 15
so, in total
4 - 2x - 14 = 3x + 15
now, we add combinable things together, and we can also move things from one side of the equation to the other (by adding our subtracting the same thing on both sides, so that the value of the expression remains unchanged).
-2x - 10 = 3x + 15
-25 = 5x
and now, what applied to adding and subtracting also aims to multiplication and division. again, it is important to do the same thing to both sides.
-5 = x
Pamella late for school 10% of time. Richard late for 15% of the time.
a) What percentage are they both late?
b) What is the probability only one of them is late?
Answers
Answer:
a) 25%
10%+15% = 25%
b) doesn't have any idea
3 2/9 - 2 1/2 pls help me I stuck it it due today
Answers
Answer:
[tex]\frac{13}{18}[/tex]
Write a variable expression to represent the phrase. The difference of a number and 1
Answers
Answer:
[tex]x-1[/tex]
Step-by-step explanation:
Hi there!
Let [tex]x[/tex] represent "the number".
The difference of a number and 1
⇒ [tex]x-1[/tex]
I hope this helps!
please help, thank you so much !!
Answers
Explanation:
180 - 14 = 166
3x + 4 = 166
3x = 162
x = 162/3 = 54
A swimmer wins the 50-yard freestyle with a time of 24.76 seconds. Find the swimmer’s average speed to the nearest hundredth of a yard per second.
Answers
Answer:
2.02 yards per second
Step-by-step explanation:
Distance/time= Average speed or speed
50yard/ 24.76sec= 2.01938 yards per second ~ 2.02 yards per second
Consumer Math
Which person uses the best cost saving strategy when deciding how to spend their money? A. Octavia bought the name-brand dish soap to be sure it was good quality. B. Jake paid the seller's full price for his used car to avoid someone else buying it. C. Tyrone waited for a sale so he could get a lower price on his new skateboard. D. Camilla bought her new computer immediately in case prices increased.
Answers
Answer:
I think c if not sorry
Step-by-step explanation:
C is the only one that makes sense
person uses the best cost saving strategy when deciding how to spend their money is Tyrone waited for a sale so he could get a lower price on his new skateboard.
The correct option is (C).
What is strategy?
Strategy is an action that managers take to attain one or more of the organization's goals. Strategy can also be defined as “A general direction set for the company and its various components to achieve a desired state in the future. Strategy results from the detailed strategic planning process”.
Considering the cost saving ,
Tyrone spends it in a better way cause he waits for the sale so that he could get the lower price for his new skateboard.
Other just look on the quality, first buyer, took the item in increased price.
Hence, Tyrone waited for a sale so he could get a lower price on his new skateboard.
Learn more about strategy here:
https://brainly.com/question/20350382
#SPJ2
Help me outtttttttttt
Answers
Answer:
∠1 = 5 degrees
∠2 = 85 degrees
Step-by-step explanation:
if we add ∠1 and ∠2 that will be 90 degrees (as it is straight angle and its already given in the picture)
( x - 12) + 5x = 90
6x -12 = 90
6x = 90 + 12
6x = 102
x = 102/6
x = 17
Put 17 in both the angles instead of x
∠1 = ( x-12)
= ( 17 - 12)
= 5
∠2 = 5x
= 5 (17)
= 85
now you can even Cross-check
5 + 85
= 90 degrees
Cross-checked
Please Answer ASAP
The first term of a GP is 1, the sum of the third and fifth term is 90. Find the
common ratio.
Answers
hence, the common ratio of the given G.P. is 3 or −3.
Answer:
common ratio is -3 or 3
Step-by-step explanation:
[tex]u_1=1\\\\u_3=u_1*r^2=r^2\\\\u_5=u_1*r^4=r^4\\\\r^2+r^4=90\\\\r^4+r^2-90=0\\\Delta=1+4*90=361=19^2\\\\r^2=\dfrac{-1-19}{2} =-10 (exclude\ a\ square\ is\ positive)\\or\\r^2=\dfrac{-1+19}{2}=9\\r^2-9=0\\(r-3)(r+3)=0\\So\ r=-3\ or\ r=3\\[/tex]
How many significant figures does 4857.169 have?
Answers
Answer:
Significant Figures
7
4857.169
Decimals
3
4857.169
Scientific Notation
4.857169 × 103
E-Notation
4.857169e+3
Words
four thousand eight hundred fifty-seven point one six nine
Explanation: Mark Brainliest plz
Answer:
plz mark me as a brainliest i really need it
Step-by-step explanation:
4857.169
Sig Figs
7
4857.169
Decimals
3
4857.169
Scientific Notation
4.857169 × 103
E-Notation
4.857169e+3
Words
four thousand eight hundred fifty-seven point one six nine
Find the mean of 9, 10, 3, 9, 2, 3 graphically.
Answers
Answer:
Mean=6
Sum of numbers= 30
Step-by-step explanation:
Reason abstractly. Can the product of a
decimal number less than I ever be greater than the whole
number? Give examples to support your answer.
find the product 4.2(6 + 0.43).
HELP PLEASE
Answers
The product of 4.2(6+0.43) is 27.006
