Answers
Answer:
p = ± q / 5r + 8; Option D
Step-by-step explanation:
We are given the following equation; q^2 / p^2 - 16p + 64 = 25r^2;
q^2 / p^2 - 16p + 64 = 25r^2 ⇒ Let us factor p^2 - 16p + 64, as such,
p^2 - 16p + 64,
( p )^2 - 2 * ( p ) * ( 8 ) + ( 8 )^2,
( p - 8 )^2 ⇒ Now let us substitute this into the equation q^2 / p^2 - 16p + 64 = 25r^2 in replacement of p^2 - 16p + 64,
q^2 / ( p - 8 )^2 = 25r^2 ⇒ multiply either side by ( p - 8 )^2,
q^2 = 25r^2 * ( ( p - 8 )^2 ) ⇒ divide either side by 25r^2,
q^2 / 25r^2 = ( p - 8 )^2 ⇒ Now apply square root on either side,
| p - 8 | = √( q^2 / 25r^2 ) ⇒ Simplify,
| p - 8 | = q / 5r,
| p | = q / 5r + 8,
Answer; p = ± q / 5r + 8; Option D
Related Questions
help please! ill mark brainliest
Answers
Answer:
A=150ft^2
Step-by-step explanation:
A=(b1+b2)/2*h
A=(15+10)/2*12
A=25/2*12
A=25*6
A=150ft^2
Area of trapezoid formula: A = h(b1+b2/2)
A = 12(10+15/2)
A = 12(25/2)
A = 12(12.5)
A = 150
Therefore, the area of the trapezoid is 150ft²
Best of Luck!
Anyone else getting the nasty storms from Tropical Storm Arthur? (I live in Virginia Beach, VA so I am :/)
Answers
Answer:
No not yet. But Sumter County is supposed to get rain all week starting today. It's starting to thunder now.
Answer:
Oh yeah...
Step-by-step explanation:
Arthur is bullying my house.......
(Brainliest?)
A cell phone and phone case cost $110 in total. The cell phone costs $100 more than the phone case. How much was the cell phone?
Answers
Answer:
105
Step-by-step explanation:
if both together cost $110
and the cell phone cost 100 more than the phone case, we need to find the cost for the phonecase
and it's 105
hope this helped:D
brainliest is appreciated if u want
Answer:
$105 r e
Step-by-step explanation:
Matthew invested $5,800 in an account paying an interest rate of 4.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 7 years?
Answers
Answer:
A≈8173.18
Step-by-step explanation:
What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?
Answers
f(x)=(0)^2+3(0)+5
f(x)=5
So your y intercept
Is y=5 or (0,5)
Answer:
(0, 5)
Step-by-step explanation:
To solve for the y-intercept, plug in 0 for all x values and solve.
When Colton commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a standard deviation of 3 minutes. What percentage of his commutes will be between 33 and 35 minutes, to the nearest tenth?
Answers
Answer:
[tex]P(33<X<35)=P(\frac{33-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{35-\mu}{\sigma})=P(\frac{33-41}{3}<Z<\frac{35-41}{3})=P(-2.67<z<-2)[/tex]
And we can find the probability of interest with this difference
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)[/tex]
And if we use the normal standard table or excel we got:
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)=0.02275-0.00379=0.01896[/tex]
And if we convert the probability to a % we got 1.896% and rounded to the nearest tenth we got 1.9 %
Step-by-step explanation:
Let X the random variable that represent the times to conmutes to work of a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(41,3)[/tex]
Where [tex]\mu=41[/tex] and [tex]\sigma=3[/tex]
We are interested on this probability
[tex]P(33<X<35)[/tex]
And we can solve the problem using the z score formula given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
And using this formula we got:
[tex]P(33<X<35)=P(\frac{33-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{35-\mu}{\sigma})=P(\frac{33-41}{3}<Z<\frac{35-41}{3})=P(-2.67<z<-2)[/tex]
And we can find the probability of interest with this difference
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)[/tex]
And if we use the normal standard table or excel we got:
[tex]P(-2.67<z<-2)=P(z<-2)-P(z<-2.67)=0.02275-0.00379=0.01896[/tex]
And if we convert the probability to a % we got 1.896% and rounded to the nearest tenth we got 1.9 %
PLEASE HELP WILL GIVE BRAINLIESTT
Answers
Calculate (full working out)
5.16 x 2.93 =
Answers
What is the range 0 -9 -9 -6 -4 -7 -5 -3
Answers
Answer:
9
Step-by-step explanation:
put in order least to greatest
-9 -9 -7 -6 -5 -4 -3 0
9-0=9
range cannot be negative because it is the space between numbers and distance cannot be negative
Answer: The range is 9.
Solve each word problem using either method.
1.
Your parents took your family out to dinner. Your parents wanted to give the waiter a 15% tip. If
the total amount of the dinner was $42.00, what should be paid to the waiter as a tip?
PLEASE HELP
Answers
Answer:
it should be $6.30
Step-by-step explanation:
i put it in 2 different ways:
42x.15 and 42x15% both gave me 6.3
Which of the following numbers is not a rational number? -3 2.7 √4 √5
Answers
Answer:
[tex]\sqrt{5}[/tex]
Step-by-step explanation:
can someone please help me i don’t get this at all!?
Answers
288/N = 720 / (N+12)
288(N+12) = 720N
288N + 3456 = 720N
3456 = 720N - 288N
3456=432N
N=8
She bought 8 pencils last month for 288, which is 36 cents each. And she bought 20 pencils this month for 720 which is 36 cents each. Hope this helped :)
Simplify
[tex] \sqrt[4]{ {5}^{4} } [/tex]
4
5
25
625
Answers
Answer:
5
Step-by-step explanation:
[tex] \sqrt[4]{ {5}^{4} } \\ = ({5}^{4})^{ \frac{1}{4} } \\ = {5}^{ \frac{4}{4} } \\ = 5[/tex]
Answer:
5
Step-by-step explanation:
On the blueprint of a house, 27 millimeters represents 6 meters. The actual length of the living room is 9 meters.
Answers
Answer:
40.5 mm
Step-by-step explanation:
Use a proportion to find the blueprint's length of the living room.
27 mm is to 6 m as x is to 9 m
27/6 = x/9
6x = 27 * 9
6x = 243
x = 40.5
Answer: 40.5 mm
What is 2/3 ÷ 4/5 = ?
Answers
Answer:
5/6
Step-by-step explanation:
2/3 ÷ 4/5 = ⇒ changing division to multiplication by reciprocal of the second fraction2/3 × 5/4 = ⇒ simplify and multiply numerators and denominators5/6 ⇒ here is the answerPlease help me with logarithms!
Answers
Answer:
x=2ln(2)/(2ln(2)-ln(3))
Step-by-step explanation:
ln(4^x-1)=ln(3^x)
(x-1)ln(4)=ln(3^x)
(x-1)ln(4)=xln(3)
ln(4)x-ln(4)=xln(3)
ln(4)x=ln(3)x+2ln(2)
2ln(2)x-ln(3)x=2ln(2)
(2ln(2)-ln(3))x=2ln(2)
Therefore, x=2ln(2)/(2ln(2)-ln(3))
Answer:
4.819 =x
Step-by-step explanation:
4^(x-1) = 3^x
Take the log of each side
log (4^(x-1)) = log(3^x)
We know that log a^b = blog a
(x-1) log 4 = x log (3)
Distribute
x log 4 -log 4 = x log 3
Subtract x log 4 from each side
x log 4 - x log 4 -log 4 = x log 3 - x log 4
- log 4 = x log 3 - x log 4
Factor out -x
- log 4 =- x ( log 4- log 3)
Divide by -1
log 4 = x (log 4 - log 3)
Divide each side by (log 4 - log 3)
log 4 / (log 4 - log 3) = x
4.81884167930641800 =x
Round to the nearest thousandth
4.819 =x
Please help me I’m about to break down
Answers
Answer:
the answer would be <RSV &<TSV
Answer:
RSV and TSV
Step-by-step explanation:
Supplementary angles are those that add to 180 degrees
RSV and TSV form a straight line so they add to 180
They are complementary angles
V2 is equal to + 2 a s derive
Answers
Mia agrees to borrow a 3-year loan with 4% simple interest to buy a motorcycle. Part A If Mia will pay a total of $444 in interest, how much money did she initially borrow?
Answers
Answer:
$3700
Step-by-step explanation:
To find how much Mia borrowed, we simply need to use the Simple Interest formula:
I = (P * R * T) / 100
Where I = interest
P = principal or amount borrowed
R = rate of interest
T = time taken (in years)
Mia agrees to borrow a 3-year loan with 4% simple interest and she will pay a total of $444 in interest. Therefore:
444 = (P * 4 * 3) / 100
444 = 12P / 100
444 * 100 = 12P
=> P = (444 * 100) / 12
P = $3700
Therefore, she initially borrowed $3700 .
Please people help me
Answers
Answer:
C. 8.06
Step-by-step explanation:
You can use the pythagorean theorem to find that the length of the hypotenuse of this triangle is [tex]\sqrt{7^2+4^2}=\sqrt{49+16}=\sqrt{65}\approx 8.06[/tex]. Hope this helps!
Answer: C
Step-by-step explanation:
7^2 + 4^2 =c^2
49 + 16 =c^2
65=c^2
c= 8.06
A relation where every input has one and only one output is called what?
Answers
Jack earns $40 in interest each year on an investment. What is his interest rate if his principal was $200
Answers
Answer:
The interest rate is 20%.
Step-by-step explanation:
In order to calculate the interest rate, we need to compute how many percents the value he recieves is related to the total he invested. In this case he recieves 40 every year and he invested 200, to calculate that we will apply a rule of three. We have:
$200 -> 100%
$40 -> x%
200/40 = 100/x
200*x = 40*100
200*x = 4000
x = 4000/200 = 20
The interest rate is 20%.
Mitch runs 4 miles in 2x + 3 minutes, and Joy
runs 7 miles in 5x - 1 minutes. If each of them
ran for 1 minute, how many miles would they
run, combined (in terms of x)?
Answers
Four students spoke to the Home and School parents for a total of 2/3 hour. Each student spoke for the same amount of time. How long did each student speak?
Answers
creo que la respuesta el 10 minutos, porque dice "horas" pero no dice a cuantas horas equivale :) espero que te aya adudado auque sea un poquito
-3(x + 4) = 6(-x - 1)
Answers
Answer: x = 2
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
-3(x+4)=6(-x-1)
1. Distribute
-3x+(-12)=-6x-6
-3x-12=-6x-6
3x-12=-6
3x=6
x=2
If a set of data has a mean of 22 and a standard deviation of 6.5, what would be the amount that is one standard deviation lower than the mean?
Your answer
Answers
Answer:
Could u help me with my question
Step-by-step explanation:
100 PTS:Please help me now plz plz I promise I will mark you brainliest
Answers
Answer:
[tex] \cos \beta = \dfrac{8}{17} [/tex]
Step-by-step explanation:
[tex] \cos A = \dfrac{adj}{hyp} [/tex]
For angle beta, adj = BC = 8, and hyp = AB = 17
[tex] \cos \beta = \dfrac{adj}{hyp} [/tex]
[tex] \cos \beta = \dfrac{BC}{AB} [/tex]
[tex] \cos \beta = \dfrac{8}{17} [/tex]
Answer:
Cos B = 8/17
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos B = adjacent/ hypotenuse
Cos B = 8/17
7. What is the value of the expression 3(2 - 7)
Answers
Answer:
-15
Step-by-step explanation:
3(2 - 7)
PEMDAS says parentheses first
Subtract
3 (-5)
Multiply
-15
A circle has centre (0, 0) and it passes through the point (5, -3)
Find the radius of the circle, in surd form.
Answers
Answer:
radius = [tex]\sqrt{34}[/tex]
Step-by-step explanation:
The radius r is the distance from the centre to a point on the circle.
Use the distance formula to calculate r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (5, - 3)
r = [tex]\sqrt{(5-0)^2+(- 3-0)^2}[/tex]
= [tex]\sqrt{5^2+(-3)^2}[/tex]
= [tex]\sqrt{25+9}[/tex]
= [tex]\sqrt{34}[/tex]
triangle xyz is similar to triangle abc solve for k
Answers
Answer:
k = 13.5
Step-by-step explanation:
We can use ratios to solve
3 4.5
---- = ---------
9 k
Using cross products
3k = 9*4/5
Divide each side by 3
3k/3 = 9*4.5/3
k =13.5
